College Geometry Questions

What is the approximate value of tan B B 7 A 17 46 16 20 A 0 40 OB 0 44 C 0 92 D 2 29 C

Use Pascal s Triangle to complete the expansion of t u 4 2 t6 6t u tu 20t u 15t u4 6tu5 u6

Use the law of sines to find the length of side A 38 b O A 21 28 OB 29 37 OC 38 06 D 25 B 31 6 25

Tiana would like to buy cone shaped hats for her birthday party She wants hats with the largest volume since they look bigger Which of the following brands of hat should she buy Brand A height of cone 15 in radius of cone base 6 in Brand B height of cone 18 in radius of cone base 5 in A Brand A OB Brand B O C Either the hats have equal volumes

What is the volume of the sphere shown below OA 4000 units OB 400 units 3 OC 400 units 4000 3 O D 3 units ww 10

The ratio of the lengths of corresponding parts in two similar solids is 2 1 What is the ratio of their surface areas OA 8 1 OB 2 1 O C 4 1 O D 6 1

What is the surface area of the right prism given below A 420 units OB 840 units2 C 480 units OD 298 units2 5 12 14

Question 15 38 118 NOTE The triangle is NOT drawn to scale Answer the following Round your answer to 3 decimal places as needed 31

A snack bag of potato chips is advertised as weighing 1 5 ounces Suppose a bag of potato chips is selected at random from a snack pack and weighs 1 7275 ounces Compute the percent error rounded to the nearest hundredth Simplify your answer completely PE Using the 5 guideline was the advertised weight an accurate estimate Since this percent error is less than 5 we see that the advertised volume was a good estimate Since this percent error is less than 5 we cannot determine if the advertised volume was or was not a good estimate Since this percent error is greater than 5 we see that the advertised volume was a good estimate Since this percent error is greater than 5 we see that the advertised volume was not a good estimate Since this percent error is less than 5 we see that the advertised volume was not a good estimate

Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes OA 49 1 OB 35 35 1 O C 112 1 OD 343 1

The two cones below are similar What is the value of x O OB 0 18 O O A 0 09 C 0 3 D 0 9 10 3 o d 3 x

Which of the following is a solid bounded by the set of all points at a given distance from a given point OA Cylinder B Cube C Cone D Sphere

The bases for a cylinder must be two discs that are parallel and O A similar B congruent C squares D have one lying directly above the other

A right cone has a slant height of 6 and a radius of 2 What is its surface area O A 48 units2 O B 16 units2 C 12 units D 24 units2

The ratio of the surface areas of two similar solids is 49 100 What is the ratio of their corresponding side lengths OA 7 10 OB 1 24 O C 10 10 OD 7 100

A geometric solid has only length and height O A True OB False

Which of the following is a solid consisting of a disc a point not in the same plane as the disc but directly above the center of the disc and all the points between them OA Oblique cone OB Oblique pyramid C Right cone D Right pyramid

A right cylinder has a radius of 5 and a height of 9 What is its surface area A 45 units2 B 140 units C 70 units D 90 units2

Which solid figure has a base that is a polygon and triangular faces that meet at a vertex A Cylinder B Prism C Cone D Pyramid

Which types of polygons are the faces of a tetrahedron O A Regular pentagons B Regular hexagons OC Squares OD Equilateral triangles

How many faces does a dodecahedron have A 12 OB 8 OC 20 OD 10

What is the volume of a cone with a radius of 4 and a height of 15 OA 251 33 units OB 39 79 units OC 753 98 units D 900 units3

Is the volume of the cylinder shown below OA 1527 units OB 1215 units C 64 units3 D 361 units3 15

What is the surface area of the regular pyramid given below OA 140 units OB 329 units2 OC 280 units D 189 units 10 7

What is the APR of a payday loan for 1400 due in 5 days that charges a 105 fee A 5475 OB 5 475 C 547 5 D 54 75

Ava took out a 30 year loan for 310 000 at 2 3 interest compounded monthly If her monthly payment on the loan will remain 1192 88 for the life of the loan how much will Ava have paid in interest once the loan is paid off OA 310 000 00 OB 429 436 80 OC 119 436 80 OD 317 130 00

1 Using the same triangle above Construct the perpendicular bisector of segment BC Label the point where the 2 perpendicular bisectors intersect P 2 Use different colored lines to draw segments PA PB and PC How do the lengths of these segments compare Explain your reasoning 3 Imagine the perpendicular bisector of segment AC Will it pass through point P Explain your reasoning 4 5 6 Construct the perpendicular bisector of segment AC Construct a circle centered at P with radius PA Why does the circle also pass through points B and C

The image shows a triangle C 1 Construct the perpendicular bisector of segment AB 2 Imagine a point D placed anywhere on the perpendicular bisector you constructed How would the distance from D to A compare to the distance from D to B Explain your reasoning Activating Strategy

Triangle 2 1 Construct the circumscribed circle of the triangles you chose 2 After you finish compare your results What do you notice about the location of circumcenter in each triangle State where the circumcenter is for that triangle

Who Is CT Juan and Sasha are suppose to design a dunking booth for the fair They want the booth to be easily accessible from the three entrances Sasha thinks having it equidistant from all three entrances would make the most sense a Juan said for the booth to be equidistant from entrance 1 and entrance 2 it needs to be at the midpoint of both entrances Is Juan correct Explain your reasoning b What other options do they have for the placement of the booth Entrance 1 Entrance 2

The image shows a triangle A C Construct the perpendicular bisector of segment AB 2 Imagine a point D placed anywhere on the perpendicular bisector you constructed How would the distance from D to A compare to the distance from D to B Explain your reasoning B Activating Strategy

Rhonda plans to buy an 85 Father s Day present for her father and the holiday falls on the third Sunday of June She can afford to put it on layaway with a 20 down payment and 8 a month after that If payments are due at the beginning of each month when should Rhonda make her first monthly payment A November 1 OB September 1 C December 1 OD October 1

Brooke took out a 4 year loan for 1825 at a computer store to be paid back with monthly payments at a 12 5 APR If the loan offers no payments for the first 17 months how many payments will Brooke be required to make A 31 B 48 C 65 D 17

Carmine took out a 28 year loan for 151 000 at an APR of 9 9 compounded monthly while Richie took out a 28 year loan for 116 000 at an APR of 9 9 compounded monthly Who would save more by paying off his loan 17 years early A Richie would save more since he has 35 000 less in principal B Carmine would save more since he has 35 000 more in principal C Richie would save more since he has 35 000 more in principal D Carmine would save more since he has 35 000 less in principal

Today Benjamin put a watch on layaway by making a down payment of 65 and agreeing to pay 12 per month starting next month for 15 months When will Benjamin receive the watch A In 12 months OB In 15 months OC Today D In 1 month

Jerry bought a table tennis table with a sticker price of 1700 If he paid 2 a week for 2 years what was the approximate markup rate on the table O O A 32 7 B 74 3 C 67 3 D 34 6

Janie took out a loan for 4850 at a 13 8 APR compounded monthly to buy a backyard swimming pool If she will make monthly payments of 455 50 to pay off the loan how many total payments will she have to make A 13 OB 10 C 12 OD 11

Donna took out a 25 year loan for 115 000 at an APR of 7 2 compoundec monthly and she is making monthly payments of 827 53 What will her balance be with 15 years left on the loan OA 70 643 14 OB 90 932 36 C 112 848 16 D 113 587 00

Nevaeh took out a 20 year loan for 155 000 at 3 6 interest compounded monthly If her monthly payment on the loan is 906 93 how much of her first payment went toward note reduction OA 465 00 OB 441 93 OC 906 93 OD 326 49

We are wanting to determine the forces in the ropes for the system shown below Use the following information The blue lines are the ropes in the system The red circle at C is a simple pulley and the green lines are how the pulley is connected to the wall These should not factor into your work The rope that comes from A wraps around the pulley at C and then connects to D The orange lines are used to show direction The system connects to the wall shown in black at points B E and F The positive x direction is to the right and the positive y direction is up B 1 A 15 lb 3 3 F 60 D 35 lb E 30

Randall took out a single payment loan for 740 that charged an 80 fee How much does he have to pay by the time the loan reaches maturity O A 820 OB 740 C 80 OD 660