math

Amy and Fraser walk inside a circular lawn. Point O is the center of the lawn, as shown below: A circle is drawn. The center of the circle is labeled O. Points A and B are on the circumference of the circle. A straight line passes though O and joins points A and B. Amy walks from point O to point A along the segment OA. Fraser walks from point O to point B along the segment OB. Which statement is correct?

Both Amy and Fraser walk distances equal to the radius of the lawn.

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.

C = 10π; A = 25π

Which of the following is a step in constructing a circle inscribed in a triangle?

Construct the angle bisectors of each side.

Which statement best describes a chord of a circle?

It is a segment that connects two distinct points on a circle.

Look at the figure below: A circle is shown with the center O.OX is a segment joining center O to a point X on the circle. YZ is a line touching the circle in Point X. Line PQ is shown intersecting the circle in points R and S. Which is the tangent to the circle?

Segment YZ

If a semi-circle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape? An image of a semi circle centered at the origin is shown with an arrow showing motion about the y axis.

Sphere

Aaron is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction? Triangle DEF is shown with two sets of intersecting arc markings on either side of side EF. A line segment is drawn through each set of intersecting arc markings and through side EF.

Use the compass to find the perpendicular bisector for side DF

Look at the figure below: An image of a right triangle is shown with an angle labeled y degrees. If sin y° = s divided by 8. and tan y° = s divided by t., what is the value of cos y°?

cos y°=t divided by 8.

Line FG contains points F (3, 7) and G (−4, −5). Line HI contains points H (−1, 0) and I (4, 6). Lines FG and HI are

neither

The slope formula can be used to prove a quadrilateral has

parallel sides

The slope formula can be used to prove that a quadrilateral has

parallel sides

Quadrilateral ABCD has coordinates A (3, −5), B (5, −2), C (10, −4), D (8, −7). Quadrilateral ABCD is a

parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular

Which two-dimensional shape can be rotated about the y-axis to create a cylinder which has a smaller diameter than height?

rectangle

The picture shows a triangular island: A right triangle is shown with an acute angle equal to 55 degrees. The length of the side of the triangle opposite to the acute angle is r. The length of the side of the triangle adjacent to the acute angle is s. The length of the hypotenuse is q. Which expression shows the value of q?

s over cos 55 degrees

Look at the figure: An image of a right triangle is shown with an angle labeled x. If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?

sin x° = 11 divided by s

Look at the figure: An image of a right triangle is shown with an angle labeled x. If tan x° = 3 divided by y and cos x° = y divided by z ,what is the value of sin x°?

sin x° = 3 divided by z

Silvia is trying to calculate the distance between point A(2, 6) and point B(5, 1). Which of the following expressions will she use?

square root of the quantity of 5 minus 2 all squared plus 1 minus 6 all squared

Line AB contains points A (−1, 3) and B (5, 3). Line AB has a slope that is

zero

Point A is located at (0, 4) and point B is located at (−2, −3). Find the x value for the point that is 1 over 4 the distance from point A to point B.

−0.5

Find the midpoint of diagonal BD. Figure ABCD is shown. A is at negative 3, 2. B is at 0, 6. C is at 6, 6. D is at 3, 2.

(1.5, 4)

The length of the shadow of a building is 100 meters, as shown below: The shadow of a building is 100 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 45 degrees. What is the height of the building?

100 m

Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is

4

If the sin 30° = one over two, then which statement is true?

cos 60° = one over two, because the cosine and sine are complements

When the coordinates (1, 1), (2, 3), (5, 3), and (4, 1) are joined, which shape is formed?

Parallelogram

Find the perimeter of the image below: Figure PQRST is shown. P is at negative 2, 11. Q is at negative 4, 5. R is at 2, 0. S is at 1, 7. T is at 8, 7.

39 units

Find the perimeter of the following shape: Shape ABCD is shown. Point A is at 7, 5. Point B is at 6, 3. Point C is at 3, 2. Point D is at 4, 4.

10.8

There are 420 pennies in a 12-ounce jar. How many pennies are there per ounce in the jar?

35

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

72 in3

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

15 in3

A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder?

(3.14)(18m)2(6m)

A circle has its center at (−2, 5) and a radius of 4 units. What is the equation of the circle?

(x + 2)2 + (y − 5)2 = 16

Point G is located at (3, −1), and point H is located at (−2, 3). Find the point that is 2 over 3 the distance from point G to point H.

(−0.33, 1.67)

Find the point that splits segment GH in half if point G is located at (−3, 5) and point H is located at (0, −2).

(−1.5, 1.5)

If the cos 90° = 0, then the sin 0° = _____.

0, because the angles are complementary

The number of goldfish in a tank is 19, and the volume of the tank is 52 cubic feet. What is the density of the tank?

0.37 goldfish per cubic foot

Find the y value for the point that splits segment EF in half if point E is located at (5, −2) and point F is located at (−1, 3).

0.5

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

1 over 2

Box A has a volume of 12 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were multiplied by five. What is the volume of Box B?

1,500 m3

Box A has a volume of 24 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were multiplied by four. What is the volume of Box B?

1,536 m3

Find the value of the csc 40° using your calculator.

1.556

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B and C, as shown below: A source of laser light is at point A on the ground between two parallel walls. The walls are perpendicular to the ground. AB is a ray of light which strikes the wall on the left at point B which is 60 meters above the ground. AC is a ray of light which strikes the wall on the right at point C which is 40 m above the ground. The ray AB makes an angle of 60 degrees with the ground. The ray AC makes an angle of 30 degrees with the ground. What is the distance between the walls?

103.92 m

An observer (O) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number. Two parallel lines B P and O T with a transversal running through P and O. Dotted red line from P to T and from B to O. Angle P O T is 23 degrees and the length of P T is 5000. The length of B P is x

11,779 feet

Find the sine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Triangle ABC is shown. AB measures 12. BC measures 13. CA measures 5. The angle formed at point C is marked theta and angle A is the right angle.

12/13

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

12cm3

Find the perimeter of the shape below: A four sided figure JKLM is shown. J is located at negative 3, 4. K is located at negative 1, 6. L is located at 1, 1. M is located at negative 1, 3

13.3 units

A grain silo is shown below: Grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the top What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.

14,012 ft3

Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 15 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of cos x°?

15 ÷ 17

Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 1, 7. Point C is at 3, 3. Point D is at negative 1, 1.

17.9

Using the image below, find the y value for the point that divides the line segment CD into a ratio of 4:1. Segment CD is shown. C is at 9, 6 and D is at 5, 1.

2

Find the x value for point L such that JL and KL form a 3:1 ratio. Segment JK is shown. J is at negative 3, 4. K is at 4, negative 2.

2.25

The picture below shows a container that Tim uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 8 centimeters. What is the minimum number of identical containers that Tim would need to make 2,000 cm3 of ice? (Use π = 3.14.)

20

Max observes the zoo and the library from a helicopter flying at a height of 100 times square root of 3 feet above the ground, as shown below: A helicopter is flying at a height of 100 multiplied by square root of 3 feet above the ground. A zoo and a library are on the ground on the same side of the helicopter. The angle made by the line joining the helicopter and the zoo with the ground is 60 degrees. The angle made by the line joining the helicopter and the library with the ground is 30 degrees. What is the distance between the zoo and the library?

200 feet

Find the area of a circle with a diameter of 16 inches. Use 3.14 for pi.

200.96 in2

A quadrilateral PQRS is inscribed in a circle, as shown below: A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 80 degrees. What is the measure of arc PQR?

200°

If the tan of angle x is 22 over 5 and the triangle was dilated to be two times as big as the original, what would be the value of the tan of x for the dilated triangle? Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.

22/5

Find the length of the base of the following pyramid, given the height of the pyramid is 211 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number. An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 62 degrees. The height is labeled 211 and the corner of the right angle is marked with a letter P.

224 meters

Find the length of the base of a square pyramid if the volume is 576 cubic inches and has a height of 3 inches.

24 inches

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below: Hourglass with sand measuring 54 millimeters high © 2011 Jupiterimages Corporation Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?

268.8

Find the area of the image below: Figure HIJKL is shown. H is at 0, 0. I is at negative 4, 5. J is at negative 1, 8. K is at 4, 8. L is at 1, 5.

27.5 square units

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangle is shown with one leg measuring 8 and the hypotenuse is labeled 17. An angle across from the leg measuring 8 is marked x degrees.

28.07

An observer (O) spots a plane flying at a 35° angle to his horizontal line of sight. If the plane is flying at an altitude of 17,000 ft., what is the distance (x) from the plane (P) to the observer (O)? A right triangle is shown with angle O marked 35 degrees, hypotenuse marked x and the height marked 17000 feet.

29,639 feet

A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume?

294.22

If the volume for 3-D pyramid A is 300 cm3 and the volume for 3-D pyramid B is 900 cm3. How many times bigger is the volume of pyramid B than pyramid A?

3

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He knows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?

3 over 8

Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 feet. The distance between the bird-watcher and the second bird is 27.9 feet. What is the angle measure, or angle of depression, between this bird and the bird-watcher? Two trees that are 14 point 1 feet tall with a bird on top of each. Distance between the birds is unknown. Angle of depression between birdwatcher and first bird is unknown and the distance is 27 point 9 feet.

30.4

A weather balloon holds 2,000 cubic meters of helium. The density of helium is 0.1765 kilograms per cubic meter. How many kilograms of helium does the balloon contain? Only enter a numerical value in the answer blank.

353

The picture below shows a container that Jeff uses to freeze water: A cylinder is shown with base diameter of 8 centimeters and the height as 10 centimeters. What is the minimum number of identical containers that Jeff would need to make 2000 cm3 of ice? (Use π = 3.14.)

4

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 2 meters, as shown below: A see-saw is shown with one end on the ground and the other in the air. The see-saw makes an angle of 30 degrees with the ground. The height of the see-saw from the ground, at the other end, is labeled 2 meters. What is the maximum length of the seesaw?

4.00 meters

Find the tangent ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Triangle ABC is shown. AB measures 4. BC measures 5. CA measures 3. The angle formed at point C is marked theta and angle A is the right angle.

4/3

The density of a fish tank is 0.2fish over feet cubed. There are 8 fish in the tank. What is the volume of the tank?

40 ft3

Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, as shown below: A helicopter is flying at a height of 200 multiplied by square root of 3 feet above the ground. A zoo and a library are on the ground on the same side of the helicopter. The angle made by the line joining the helicopter and the zoo with the ground is 60 degrees. The angle made by the line joining the helicopter and the library with the ground is 30 degrees. What is the distance between the zoo and the library?

400 feet

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The figure shows a circle with points A and B on it and point C outside it. Side BC of triangle ABC intersects the circle at point X. A tangent to the circle at point A is drawn from point C. Arc AB measures 156 degrees and angle CBA measures 32 degrees. What is the measure of angle ACB?

46°

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).

5

The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)

5.02 minutes

For the line segment whose endpoints are R(1, 2) and S(6, 7), find the y value for the point located 3 over 4 the distance from R to S.

5.75

Find the cosine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Triangle ABC is shown. AB measures 12. BC measures 13. CA measures 5. The angle formed at point C is marked theta and angle A is the right angle.

5/13

In △PQR, find the measure of ∡P. Triangle PQR where angle Q is a right angle. PQ measures 33 point 8. PR measures 57 point 6. Measure of angle P is unknown

54.1°

Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 126 degrees. Point B lies on circle A. If Arc CE is 126°, what is the measure of ∠CDE?

54°

The population of Candyworld is 14.4 Candys per acre. Exactly 792 Candys live in Candyworld. How many acres is Candyworld? Only enter a numerical value in the answer blank.

55

A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the observer (O)? Right triangle OTB is shown. Side OT labeled 9000 and side TB is labeled 9000. The angle B is labeled x degrees.

56.31°

The density of a fish tank is 0.5fish over feet cubed. There are 30 fish in the tank. What is the volume of the tank?

60 ft3

If the sin 30° is 1 over 2, then the cos ____° = _____.

60° ; 1 over 2

In circle A shown below, mArc BC is 61° and mArc EF is 76°: Points B, C, E, F lie on Circle A. Lines BE and CF pass through point D creating angle EDF. Measure of arc BC is 61 degrees and measure of arc EF is 76 degrees. What is m∠FDE?

68.5°

A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below: Snow cone with spherical bubble gum ball at the bottom The radius of the cone is 1.5 inches, and its height is 3 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

7.00 in3

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B and C, as shown below: A source of laser light is at point A on the ground between two parallel walls. The walls are perpendicular to the ground. AB is a ray of light which strikes the wall on the left at point B. The length of AB is 60m.AC is a ray of light which strikes the wall on the right at point C which is 40m above the ground. The ray AB makes an angle of 60 degrees with the ground. The ray AC makes an angle of 45 degrees with the ground. What is the distance between the walls?

70 m

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 36°: Points B, C, D lie on Circle A; line segment BD is the diameter of circle A; measure of arc CB is 36 degrees. What is the measure of ∠DBC?

72°

In △JKL, solve for x. Triangle JKL where angle K is a right angle. KL measures 34. JL measures x. Angle J measures 27 degrees.

74.89

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 24 inches and a height of 16 inches. How many times bigger is the volume of pyramid B than pyramid A?

8

The sail of a boat is in the shape of a right triangle, as shown below: The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long. Which expression shows the height, in meters, of the sail?

8 divided by sec 35 degrees

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

8 inches

Calculate the area of triangle WXY with altitude YZ, given W(2, −1), X(6, 3), Y(7, 0), and Z(5, 2).

8 square units

An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. A right triangle B N O is shown with angle B marked 55 degrees, side B N marked x and side B O marked 15000 feet.

8604 feet

The volume of a fish tank is 30 cubic feet. If the density is 0.3fish over feet cubed, how many fish are in the tank?

9

The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees and the measure of angle ABC is 70 degrees. The height of the charging stand, AC, is 9 inches. Which expression shows the length, BC, of the base of the stand?

9 cot 70°

Amy and Fraser walk inside a circular lawn. Point B is the center of the lawn, as shown below: A circle is drawn. The center of the circle is labeled B. Points A and C are on the circumference of the circle. A straight line passes though B and joins points A and C. Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which statement is correct?

Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.

Tiara buys the pizza shown below: A circular pizza is shown. The edge of one slice is marked AB. What does the curve AB represent?

Arc

If a triangle JKL is classified as isosceles, which statement is true?

At least two sides are congruent.

Look at the inner and outer rims of the circular plate shown below: A circular plate is shown. The outermost circular border of the plate is labeled as outer rim and the border of the inner circle is labeled as inner rim. What are the inner and outer rims called?

Concentric circles

If a triangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed? An image of a right triangle centered at the origin is shown with an arrow showing motion about the y axis.

Cone

Ellipse A) perpendicular cross section of a cone Circle B) cross section parallel to the base of a cone Sphere C) diagonal cross section through the widest part of a sphere Great circle D) diagonal cross section of a cylinder Triangle E) shape created when a semi-circle is rotated about the y−axis

D B E C A

Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B?

Dilate circle A by a scale factor of 3.

Which statement best describes a radius of a circle?

It is a segment from a point on the circle to the center of the circle.

A circular plate has a crack along the line AB, as shown below: A circular plate is shown. The center of the plate is labeled as A. B is a point on the circumference of the plate. A straight line joins the points A and B. If A is the center of the plate, what is the segment AB called?

Radius of the plate

The following set of coordinates represents which figure? (−5 ,2), (−3, 4), (1, 0), (−1, −2)

Rectangle

What is the shape of the cross section taken perpendicular to the base of a cylinder?

Rectangle

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5)

Rhombus

Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 4, another leg across from angle x measuring 3, and the hypotenuse measuring 5.

The ratios are both identical (3 over 5 and 3 over 5).

Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 8, another leg across from angle x measuring 6, and the hypotenuse measuring 10.

The ratios are both identical (6 over 10 and 6 over 10).

Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction? Triangle ABC is shown with arc markings on side AB and BC and two intersecting arc markings across from angle B and again across from angle C. There is a line drawn from angle B through the two intersecting arc markings as well as from angle C to the other set of two intersecting arc markings.

Use the incenter to determine the center to construct the circle

What step is similar when constructing a circle inscribed in a triangle and a circle circumscribed about a triangle?

Use the intersection of the bisectors to find the center of the circle.

Which expression is equal to sec x° multiplied by cot x°?

hypotenuse ÷ opposite

If A = (8, 2) B = (11, 13) and C = (2, 6), classify the the following triangle as either right or isosceles.

isosceles

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠OPQ? Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16.

m∠OPQ + (2x + 16)° = 180°

A cone has a diameter of 4 centimeters and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

one over three(3.14)(2cm)2(24cm)

Line WX contains (−1, 2) and (4, 12) Line YZ contains points (5, 8) and (−2, −6). Lines WX and YZ are

parallel, because the slopes are the same

A triangle is classified as an equilateral triangle when it has

three sides with the same length

The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape?

triangle

The equation of line EF is y = 1 over 2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).

y = 1 over 2x − 2

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

y = 2x − 4

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB?

y = 5x + 3

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5).

y = 5x − 15

The equation of line CD is y = 3x − 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3, 1).

y = negative 1 over 3x + 2

Write an equation of a line perpendicular to line CD below in slope-intercept form that passes through the point (−1, 6). Line CD is shown. C is at 1, 1. D is at 3, 5.

y = −0.5x + 5.5

Which equation could be used to solve for the measure of angle Q? Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x degrees. Angle P is labeled y degrees. Angle Q is labeled z degrees. Angle R is labeled w degrees.

z + x = 180

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

zero

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The figure shows a silo shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 8 ft, and the entire length of the silo is 9.5 ft. Which of the following could be used to calculate the total volume of grains that can be stored in the silo?

π(2ft)2(8ft) + one over threeπ(2ft)2(9.5ft − 8ft)

A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 8 inches. Which of the following could be used to calculate the volume of water in the vase?

π(2in)2(8in) − 6(four over threeπ(1.5in)3)