Geometry Questions

The following two triangles are similar Find the value of y 12 20 5 Your answer 13 B

Find the length of DF or state what additional information you would need to find it 3 15 56 E D 39 56 6 85 24 20

Determine the perimeter and area of the shape shown below Both rounded regions are semicircles 6 in 6 in Perimeter 49 70 X inches Area 149 10 X square inches Use the button on your calculator to make sure your answer is as accurate as possible Round your answer to the nearest hundredth as needed Question Help Video 1 Video 2

Select the correct answer from each drop down menu B O A CB and CA are tangents to circle Oat B and A We can conclude that for circle O LBOA and LBCA are and 2BCO are vand 26

The following two triangles are similar Find the value of x 12 5 Your answer 13 6 B X The following two triangles are similar Find the value of y

Select the correct answer The probability that a new car of a particular make will have a problem with the fuel line is given in the table Problem with Fuel Line Car Make A B C D E Total 0 0078 0 0084 0 0081 0 0110 0 0087 0 0080 What is the chance that a given car has a problem with the fuel line if it is make D OA OB O C D 0 0078 0 0110 0 0080 insufficient data

21 Select the correct answer from the drop down menu Capsule A Capsule B Capsule C Capsule D Total Heavy Metal Contamination 0 04 0 06 0 05 0 05 0 05 Microbial Contamination from E coli 0 15 0 22 0 24 0 18 0 17 Microbial Contamination from Staphylococcus 0 28 0 31 0 24 0 34 0 27 the same as R greater than less than i Microbial Contamination from Pseudomonas 0 33 ext 0 21 0 23 0 22 0 24 the probability of capsule D having it Microbial Contamination from Salmonella 0 31 0 29 0 30 The probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table The probability of capsule B having microbial contamination is 0 27 0 28

Select the correct answer The probability of flowering plants bearing flowers in January is given in the table Bearing Flowers in January 68 81 77 70 Flower Tulip Anemone Manzanita Peony Fuchsia Flowering Currant Total 74 B 72 OC 76 76 What is the probability of a flowering plant bearing flowers in January if it is a tulip OA 68

Find the surface area of the solid The cylinder and cones are right A C 716 3 m 942 5 m B D 867 1 m 1168 7 m 8 m 6 m 15 m 6 m 8 m

he correct answer from the drop down menu A With reference to the figure sin x B BC 17 89 DC 16

1 If IN 5x 15 and AT 55 find x O 20 O 18 O 16 B N A H R

Select the correct answer from each drop down menu 1 inch 4 5 inches 3 inches Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder Based on this assumption volume of the flask is cubic inches If both the sphere and the cylinder are dilated by a scale factor of 2 the resulting vo would be times the original volume

Find the x intercepts of the following parabola y 4x 8x 12 A 2 0 3 0 OB 1 0 3 0 OC D 2 0 6 0 6 0 4 0

What is the radius of the circle x y 7x 0 Write your answer in simplified rationalized form

Given that A equations for X 35 8 6 18 4 3 13 3 2 X 1 35x 8y 18x 4y 13x 3y 6z 3z 2z and A 3 3 7 1 2 2 8 1 0 3 solve the following system of

Type the correct answer in the box Assume t 3 14 and round your answer to the nearest hundredth 3 ft 4 ft At the rate of 2 00 per square foot the cost of painting the rectangular board with a semicircular top shown in the figure is

11 c 2x 0 7 38 56 II In the figure a b 170 Calculate p 44 3x

Select the correct answer length of AB Points A and B lie on a circle centered at point O If OA 5 and circumference what is the area of sector AOB Use the value rt 3 14 and choose the closest answer OA 19 6 square units B 39 3 square units OC 7 85 square units OD 15 7 square units

The equation of circle A is x y Cx Dy E 0 If the circle is moved horizontally to the left o the coefficients Cand Daffected 16 A s reserved 14 10 B S 0 02 6 8 10 A Cand Dare unchanged OB Cbecomes positive and D is unchanged OC Cbecomes negative and D is unchanged OD Cbecomes negative and D becomes positive

Graph the circle x y 100 Plot the center Then plot a point on the circle If you make a mistake you can erase yo circle by moving the second point onto the first 104 10 8 6 2 8 6 4 2 0 2 2 8 10

Type the correct answer in the box COSA In this triangle cosB A 4 24 3 90 B 3

What is the center of the circle x y 15x 47 Simplify any fractions

Graph the circle x 1 y 49 Plot the center Then plot a point on the circle If you make a mistake you can erase yo circle by moving the second point onto the first 104 10 8 4 2 6 2 2 0 8 4 9 2 10 8 10

Match each function to the correct name f z z f x z f x 2 f 2 z z z f z f x F EA

Graph the circle x 4 y 36 Plot the center Then plot a point on the circle If you make a mistake you can erase your circle by moving the second point onto the first 704 10 8 6 4 2 8 6 4 2 0 2 4 6 2 6 8 10

Write an equation for a quadratic function that has been reflected in the x axis compressed horizontally by a factor of and shifted up 8 units Of z Of z 8 52 08 2 2 5 Of z 8 5 x

Point O is the center of this circle C A 55 B 48 OC 45 D 35 96 B A

II In the figure b c 170 Calculate p 16 P a

Determine the perimeter and area of the shape shown below 2 ft Perimeter Area 2 ft feet square feet 8 ft 6 3 ft Round your answer to the nearest hundredth as needed

D 5 7 E 4 3 and R8 2 form the vertices of a triangle What is mz DEF A 30 O A B 45 O C D 60 90

Point O is the center of this circle What is m B A 56 B D 56 62 OC 72 C A

A cylindrical container is packaged inside a prism shaped box The box has a volume of 96 cubic units if the container has a diameter of 4 unit and a height of 6 units what is the volume of the empty space between the cylinder and the box Round the answer to two decimal places OA 20 60 cubic units OB 37 77 cubic units OC 51 27 cubic units OD 75 40 cubic units

Type the correct answer in each box Consider circle O where mBD m BPD mBC MAD 70 and mCA C 170 170 Reset O B P A Next 70 D

Select the correct answer from each drop down menu 15 In AABC mzB 90 cos C 17 and AB 16 units and AC Based on this information mzA am C Note that the angle measures are rounded to the nearest degree Cur

Q 2 10 p Answer each of the following a A matrix polynom is given by P x x By considering the 2 by 2 matrix as A SA find P A b For a given matrix A 2 calculate A where k is any integer

35 5 54 5 OA 7 meters 4 meters OC 3 meters 1 meters The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35 5 with respect to the ground If t ladder is moved by x meters toward the wall it makes an angle of 54 5 with the ground and its top is 14 meters above the ground What is xrounded to the nearest meter B 4m D 10 m

What is the difference of the lengths of Dand CE Use the value 3 14 and round the answer to two decimal places OA 1 25 units B 1 57 units OC 2 56 units E B 45 BC 2 units A AB 6 units B C

A hollow toy with the dimensions shown in the figure is to be stuffed with rigid foam What is the maximum amount of foam that can be stuff into the toy Round your answer to two decimal places Assume that both parts are stuffed and the foam does not expand or contract 4 inches OA 52 46 cubic inches OB 67 02 cubic inches C 83 78 cubic inches O D 112 15 cubic inches 12 inches

The curved parts of the figure are arcs centered at points A and C What is the approximate length of boundary ABCD Use the value and round the answer to one decimal place A B O 5 120 A 17 8 B 23 8 O C 23 1 D 28 1 30 C

Select the correct answer from each drop down menu Given that XBDC 29 BAC and BOC B A

This figure shows the nose cone of a rocket used for launching satellites The nose cone houses the satellite until the satellite is placed in orbit What is the volume of the nose cone 6 feet OA 45 cubic feet OB 60 cubic feet OC 90 cubic feet D 180 cubic feet 15 feet

Solve the equation sin x 20 cos 42 for x where 0 x OA 22 OB 62 C 28

A plane takes off at an angle of elevation of 15 and travels in a straight line for 3 000 meters What is the height of the plane above the ground at this instant OA 2898 m OB 2701 m OC 804 m D 776 m

A C and cos CPN P y In the diagram PN is the perpendicular bisector of AB and the angle bisector of CPD sin BPD B

Type the correct answer in the box Round your answer to the nearest whole number A manufacturer makes ball bearings out of molten steel It takes 5 24 cubic centimeters of molten steel to make have a diameter of 1 centimeter ball bearings that ea

Type the correct answer in each box Round your answers to the nearest tenth A ladder is placed 30 inches from a wall It touches the wall at a height of 50 inches from the ground The angle made by the ladder with the ground is degrees and the length of the ladder is inch

Find the area of the shaded region below All measurements are in meters 12 Area 10 4 meters 9

Type the correct answer in each box In this figure sin QOP cos L O R and cos ROQ sin 0

Select the correct answer from the drop down menu A 45 B 90 45 C

A 6 meter pole is supported by guy wires that are anchored to the ground as shown What is sin D D ground OA B OC 6 71 m guy wire D 3 6 71 6 71 6 36 C 6 6 m pole 90 A 6 71 m guy wire 3 m B