3D Geometry Questions and Answers

nts 763268 take 13 Given the similar prisms pictured below with the measure of one pair of corresponding sides The surface area of prism 1 is 104 in and the volume of prism 2 is 1625 in 1 Find the volume of prism 1 2 Find the surface area of prism 2 11111 4 in Prism 1 10 in Prism 2

Concentric circles with center G have radii 5 and 11 as shown G LO 5 11 Which would prove that the circles are similar Dilate the smaller circle by a factor of If the circles were not concentric what additional ste would be needed to prove they are similar one of the circles so that the circles hav the same center

EH is a diameter of o D The measure of EF is 10x 8 and the measure of GH is 11x E D 22 F 67 H G Determine the values The value of x is The measure of EF is The measure of GH is degrees degrees

B C D A E H F Identify the parts relating to A What is FC What is DB What is DH What is AC

Which circle C shows a chord that is not a diameter 2 C

The plane P passing through the points A 1 1 1 B 1 2 1 C 1 2 4 is given While a and t are scalars if the plane P is parallel to the line d t then in which option is the value 2a a given A 1 B 3 C 2 D 4 E 4

Kele has been offered a job to paint the outside of a barn If one gallon costs 35 and covers 400 square feet How much will it cost to paint the barn with one coat The picture shows the dimensions of the barn Save 4 ft 30ft 38ft What is the area of the sides What is the area of the front and back ft 77ft What is the area of the gable ends the triangle at the top of the front and back ft What is the surface area of the paintable region of the barn How many gallons will it take to paint the barn gallons a Does not need paint How much will it cost to buy those gallons

1 Avalon High School is changing their school colors and mascot They surveyed 125 students to ask their preference on the changes Complete each table by filling in the missing joint and marginal frequencies Answer the questions that follow to the right a How many students prefer the Hawks ascot Hawks Eagles Blue Black 25 32 Colors Red Silver 52 Total 48 b How many students prefer blue black c How many students prefer the Eagles

A six sided die is rolled What is the probability that the number rolled will be an even number or a 6

llowing triangle with sides B 3 86 and C 4 35 Find the length of the entire bottom of the triangle A B 35 x C B h A Hint Break the triangle into two right triangles by drawing a line from the top corner directly downward Then find the height h and use this information to find angle B Then use this information to find a Finally find the length A You can solve this in any order you like I just find it easiest in this order

Given A 2 2 B 6 5 C 4 0 D x y State the coordinates of D that would make ABCD a parallelogram 3 6 6 3 O 4 3 4 3 Previous Page Next Page

Match the value of x below with one of the diagrams Use each diagram only once x 5 I 14 x 25 x 3 A 3x 12 D points 8 and D are points of tangency

3 Find the volume of the triangular prism below V 10in 6in 14in in

Draw each angle in standard position Find the exact value of the trigonometric function from the unit circle and the calculator 1 sin 90 2 cos T 3 tan 270 4 cot 180 5 csc 2 6 cos 45 7 sin 8 tan 135

7 In the diagram below of circle O AE x EB x 1 CE x 1 and ED 2x Find the length D B 0 E O A

Search online for an example of a vector field Explain what produces the field Sketch the field and include a picture of where you got the field

For the parabola y 2 4y 8x 12 0 identify the Standard form equation Orientation Vertex Focus and Equation of the directrix

Which of the following is the graph of the plane 2x 6y z 1 Select one Oa O b O C O d HHHH to Hy

Which solid figure is represented by this globe x x X A cylinder B cube C C cone sphere

During strenuous work a human body generates about 2 400 BTUs of body heat per hour If 6 football players are in a gym that is 12 ft x 18 ft 10 ft lifting weights how many BTUs per cubic foot do they produce in 2 hours to the nearest tenth A B C 133 3 BTUs ft3 13 3 BTUs ft3 66 7 BTUs ft3

4 A manufacturer is designing a new container for their chocolate covered almonds Their original container was a cylinder with a height of 18 cm and a diameter of 14 cm The new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate covered almonds Chocolate Covered Almonds 14 cm If the new container s height is 16 cm determine and state to the nearest tenth of a centimeter the side length of the new container if both containers contain the same amount of almonds 18 cm Chocolate Covered Almonds A store owner who sells the chocolate covered almonds displays them on a shelf whose dimensions are 80 cm long and 60 cm wide The shelf can only hold one layer of new containers when each new container sits on its square base Determine and state the maximum number of new containers the store owner can fit on the shelf

Question 5 1 point L K P M N If mON 21 degrees and m LPM 44 degrees Fine mLM

W 1 point Retake question Y X If mVX 10 find m Y

13 Find the value of x 136 132 129 X 124 141 158 116

What is TRIGONOMETRY TRIGONOMETRIC RATIOS A b C a B Each acute angle of a right triangle has the following trigonometric ratios The ratio of the leg opposite the angle to the hypotenuse SINE COSINE TANGENT The ratio of the leg adjacent to the angle to the hypotenuse The ratio of the leg opposite the angle to the leg adjacent to the angle sin A sin B COS A cos B fan A tan B

3 A rectangle has one vertex on the graph y 36 x in Quadrant I one on the origin one on the positive y axis and the fourth one on the positive x axis Find A x Graph calculator or DESMOS and find the max area and the x value width that gives that maximum

Calculator What is the volume of this solid Use 3 14 for pi 37 68 cm 138 16 cm O 169 56 cm O207 24 cm 6 cm 4 cm 3 cm

In circle J with the measure of minor arc HK 34 find m HLK L K H

Determine the equation of the circle with center 0 7 containing the point divided by 11 12

e and y e 3 1 f2 2 3 4 5 of 14 1 point Attempt 1 of Unlimited View question in 6 inate the parameter and write an equation in recta uation in rectangular coordinates is y x 0

3 Put the following equation into the standard form for a sphere and find the center a 2 2 2 adius x y 7 fx 8y 27 74 0

Rotate the axes to eliminate the xy term in the equation Then write the equation in standard form Use xp for x and yp for y in your answer Rotate the coordinate axes through an angle 8 with 0 0 2 9x 24xy 16y 80x 60y 0 Sketch the graph of the resulting equation showing both sets of axes SP 4 2 2 4 no 2 O SP 4 2 4 SP 2

The heights h in inches of pistons 1 and 2 in an automobile engine can be modeled by 5 sin 729 4 7 2 3 75 sin 729 7 2 and h 3 75 sin respectively where t is measured in seconds Use a graphing utility to graph the heights of these pistons in the same viewing window for 0 st s 1 How often in times sec are the pistons at the same place times sec

What is the area of a circle with a radius of 4 feet Leave your answer in terms of pi O 8 ft O 16 ft O 64 ft 24 ft

When a single coin is tossed what are the odds of tossing a head

A radio transmission tower is 200 feet high How long should a guy wire be if it is to be attached to the tower 10 feet from the top and is to make an angle of 24 with the ground The guy wire is approximately feet long Do not round until the final answer Then round to the nearest tenth as needed

1 Determine a plane motion which will take AABC to AA B B

Find the given anglezy 23 Show Transcribed Text

1 Use spherical coordinates to evaluate JIS E where E lies between the spheres 22 y 22 4 and x y 9 x y dV

13 Find the volume of a cylindrical pool if the diameter is 20 feet and the depth is 6 feet

Find the volume of the following 1 4 2 ft 11 cm 3 ft 11 cm 11 cm

A ferris wheel is 19 meters in diameter and boarded from a platform that is 5 meters above the ground The six o clock position on the ferris wheel is level with the loading platform The wheel completes 1 full revolution in 6 minutes The function h f t gives your height in meters above the ground t minutes after the wheel begins to turn What is the amplitude What is the equation of the Midline What is the period The equation that models the height of the ferris wheel after t minutes is f t meters minutes meters How high are you off of the ground after 11 minutes Round your answer to the nearest meter meters

6 U B a sin b cos c tan E 32 4 cm Question 2 1 point For the diagram below which primary trigonometric ratio would you pick to solve the unknown value D 47 A a sin b cos c tan 6 cm

5 The accompanying diagram shows part of the architectural plans for a structural sup a building PLAN is a rectangle and ASL IN P 4 AN Which equation can be used to find the length of A S 1 LS AS AS SN 2 3 AS SN AS LN S N AS LS AS LS LS A Maz N

work Mathematics Department is holding an election for depa idates Clark C Jones J and Smith S mber of Votes 7 First J Second S Third C 10 4 8 S JC JC S C S J

Given Set A Set B 1 4 9 11 1 4 7 8 What is AUB 1 4 7 8 9 O 1 4 7 8 9 11 1 4 9 11

Given Set A 2 7 11 Set B 2 9 10 11 What is An B 2 9 10 11 O 2 7 9 10 11 9 10 2 11

Given Set A 1 2 6 7 8 12 Set B 3 4 5 10 11 12 What is An B 12 2 5 6 7 8 10 11 12 O 1 2 3 4 5 6 7 8 10 11 12 0126 7 8

5 7 pts Graph the following polar equation Use the chart below to organize your work All the symmetry tests must be checked 8 r 21 1370 12 180 1170 12 195 STU 6 150 501 H 770 6 210 370 4 125 ST 225 H 270 2 120 r 5 cos 20 770 12 105 10 2 90 STU 1 75 5 20 60 TU 45 315 30 The 15 7 12 TH OCE 0 SPE tifuer 1172 6

11 mi 2 6 cm 17 5 mi 1291son sem 8 mi 11 mi 18 cm 12 mi 728 6x3 18 2 9 VzBh V 9x18 V 0 8 41 29 in V Bh 8 11 3 3 B Asquare 8 2 64 h 11