Geometry B: Final Exam

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

y= -2/3 x+ -2/3 - Wrong

Circle O is shown with points A, B, C, and D on Circle O. If x=50, what is the value of y and the angle measurement of ∠AOB? Drag a tile into each box.

y= 25 - Wrong m∠AOB= 50 degrees - Wrong

Line A passes through the points (−3, 2) and (−23, 54). Line B is parallel to line A and passes through the point (−8, 0). What is the equation of line B?

y=-2.6x-20.8

Suppose G={−5,−3,0,3,5} and J={0,1,3,5,7}. Which set represents G∩J?

{0,3,5}

The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?

0.51

What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?

1.297πr3

A sand castle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below. The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?

10,596 square inches

A teacher conducts a survey of 70 students. She asks students about their favorite sport and about their favorite subject in order to determine the number of students who like English or volleyball. Some of the results are shown in the table. What is the percentage of students in the survey whose favorite subject is English or whose favorite sport is volleyball?

12.85% - Wrong

Students from Texas, New York, Washington, Florida, and Utah identified their areas of concentration at various universities. The results are listed in the table. One of these students is selected at random. What is the probability that the student is from the State of Washington under the condition that the student studies history? Enter a number in the box.

132 - Wrong

There are approximately 33,600 species of fish in the world. About 32,928 species of fish come from the world's three largest oceans and of these, 23,520 species of fish come from the Pacific Ocean. What is the probability of selecting a species of fish that comes from the Pacific Ocean given that a species of fish is selected from those coming from the world's three largest oceans?

23,520/32,928

The Great Pyramid of Giza has a square base. The length of each side of the base is approximately 230 meters. The height of the pyramid is approximately 147 meters. Using these dimensions, what is the volume, in cubic meters, of the pyramid?

2586810 - Wrong

A 30° central angle in a circle is equivalent to π6 radians. Drag a tile to each box to correctly complete the sentence.

30 Circumference

Consider the circle centered at point D. Angle ADC measures 108 degrees. What is the measure of angle ABC? Enter a number in the box.

54

What is the perimeter, in units, of ΔABC with A(−1,−6), B(7,−6), and C(3,−3)?

18 units

What is the area, in square units, of ΔDEF with D(5,−1), E(1,−4), and F(−5,4)?

25 square units

Use the diagram of Circle O to help you answer these questions. How can the area of a sector of a circle be calculated?

Add that to - Wrong 90 - Wrong Multiply that result by - Correct

A spinner has 10 sections numbered 1 to 10. Consider the events. Event A: Spin an odd number Event B: Spin a number greater than 1 Event C: Spin a 2 Event D: Spin a multiple of 2 Which pair of events are disjoint, cannot occur at the same time?

Events A and C

The probability that event A occurs is 30 % and the probability that event B occurs is 45 %

If the probability of both events occurring is 3%, then P(A|B)≈ 7 % and P(B|A)= 10 %.

Point P is a point on a circle with center point O. Point P is also a point on PQ←→, which is tangent to circle O. Which of the following describes the relationship between radius OP and tangent PQ←→?

OP and PQ←→ are always perpendicular

Part A What is the equation of a circle with a center at (4,−9) and a radius of 5? Part B Consider the equation of the circle. x2−14x+y2=15 What is the length of the radius of the circle defined by the given equation?

Part A - (x+4)2+(y−9)2=25 - Wrong Part B - The length of the radius is 8 units. - Correct

The table shows the dimensions and the numbers of blades of grass on four rectangular pieces of sod. Select and drag the pieces of sod in order from greatest to least grass density, with greatest at the top and least at the bottom.

Piece D Piece C Piece A Piece B

What two-dimensional cross sections could be obtained from a right rectangular prism? Select the three correct answers.

Square - Correct Rectangle - Correct Ellipse - Maybe is the other one

The diagram shows AB graphed on a coordinate plane. Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5 . What are the coordinates of point C?

The coordinates of point C are (1,0) - Wrong

A random sample of 500 women and 500 men who earned degrees in science and engineering (S&E) were asked if they work in an S&E occupation. The results of the survey are shown. A person from the survey is randomly selected. What is the probability of each event below?

The probability that a randomly selected person works in an S&E occupation is 245/1000. The probability that a randomly selected person is a woman and works in an S&E occupation is 76/1000. The probability that a randomly selected person is a woman or works in an S&E occupation is 669/1000.

A circle is separated into eight sectors of equal area. These eight sectors are arranged to form a shape similar to a parallelogram. The area of the circle (πr2) is equal to the area of the parallelogram (bh)

area - Wrong the circumference - Wrong radius multiple by the circumference - Wrong 2 times pi times the radius - Correct

A rectangle is placed on the coordinate grid such that one side is on the x-axis and one side is on the y-axis. What 3-dimensional shape is formed by this rectangle rotating around the y-axis?

cylinder

Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and thunderstorms together. Are the two events "rain today" and "thunderstorms today" independent events?

less than - Wrong are not - Correct