College Geometry Questions

If y varies inversely with x and y 5 when x 12 find y when x 4 A y 12 B y 20 y 48 D y 15

0 0 2 16 7 4 32 a 6 48 8 64 Part A Decide if the value on the table above shows a direct variation inverse variation or neither Part B Write the equation that represents the variation or explain why it is neither b BU

Name the constant of variation k for the equation y 5x

Which of the following graphs shows a direct variation proportion a y 18 16 14 12 A 10 b YA B 15 10 20 20 w S

Use the figure to solve triangle ABC Round lengths of sides to the nearest tenth and angle measures to the nearest degree Find the angles of triangle ABC Round to the nearest degree as needed A B Round to the nearest degree as needed C Round to the nearest degree as needed 19 214 B 27 125 36 8

Use the triangle to find each of the six trigonometric functions of 0 A 5 B 0 C 12

how would i find x and y 60 45 C

5 Find the length of DE E D

Find the value of each variable x and y 32 I 300 y

Use the reference angle to find all six trigonometric functions of the angle t Hint Enter the exact answer Type sqrt 5 for 5 3 sint sqrt 2 2 cost type your answer tant type your answer csct type your answer type your answer cott type your answer

The quantity z varies directly with y and inversely with x When y 8 and x 4 z 1 What is the value of k the constant of variation Write your answer in the form A or where A and B are constants or variable expressions

The quantity a varies directly with b and inversely with c and d When b 9 c 3 and d 7 a 3 What is the value of k the constant of variation Write your answer in the form A or or where A and B are constants or variable expressions

Grays Company has the following purchases and sales during the month of August Using the FIFO perpetual inventory method what amount will reported as cost of goods sold for the 12 units that were sold Date August 1 Activities Units Acquired at Cost Units Sold at Retail August 3 August 6 Beginning inventory Purchase Sales 18 units 46 460 28 units 48 968 12 units sold Multiple Choice 572 526 556

graph one full cucle of y csc 3x 3 3

Use the binomial series or any other method to find the Maclaurin series for b a 1 n 1 x2n 2n 2 n 1 x2n 1 2n 1 n 0 8 d 1 1 n 0 n 0 f x 1 8 1 2 x2 n 2n 1 e 1 n 0 8 x n c 1 12n 1 2n n x2n 2n 1 n 0

a f x x 3x3 6x 8x is graphed below 9 2 30 20 10 10 Based on the graph how many zeroes does the polynomial haw Answer

Match the following polynomials with their factored form 3x 12x 32 12 3x 12 DRAG DROP THE ANSW 3 x 4 3x 12 3x x 4 3x x 4 3x 12x 3x x 4 3 x 4 3 x 4

In a certain city E Street W Street C Street and D Street are parallel streets that intersect K Street and M Street How long is K Street between C Street and D Street The length of K Street between C Street and D Street is 50 Park E S W St K St SPOON 600 ft M St C St 310 f D St ft

4 Consider the following sequence of numbers tn 0 1 2 3 4 5 6 7 23 37 60 14 5 9 14 Find a recursion equation of the type tn formula for t in terms of n btn 1 ctn 2 for this sequence and fin

How many zeros or roots are shown in the image 6

9 Solve for y 2 pts 9 y 19

5 Use the dimensions given in the diagram below Find h the height of the kite off the ground to the nearest tenth of a foot 2 pts H tan 300 40 2 7 300 ft 40

8 Use the dimensions given in the diagram below What is the value of y 3 pts 45 14 30

3 Decide whether the numbers 30 40 and 60 can represent the side lengths of a triangle If they can classify the triangle as right acute or obtuse Show calculations 2 pts 30440 30 40 70 Yes they can 70 60 ACCA e

and 60 gle If they or obtuse 4 Given AWXY is a right triangle WX 25 WXY Solve for XY Round to the nearest tenth 2 pts W 25 mm X 58 X sin 213583 XY 41 7 Y m below Find h the height of the kite off the ground to the

The graph of y f x is shown 10 9 8 7 6 5 4 3 2 1 12 4 5 6 7 8 9 10 a Remember this is the graph of y f x and not the graph of y f x At 7 the graph of y a straight line concave up concave down f z is At 4 the graph of y f x is concave down a straight line concave up

vertices of a triangle a find the DISTANCE BETWEEN TWO POINTS 1 Given three points which serve as Determine whether the given points are collinear or non collinear 11 perimeter of each triangle and b 1 P 3 3 Q 0 1 R 9 7 determine the kind of triangle according to sides and angles 2 S 3 1 T 1 3 U 10 8 1 A 0 0 B 5 2 C 3 3 2 D 3 8 E 5 5 F 6 0 3 G 2 3 H 4 3 1 3 4 4 V 3 1 W 2 3 2 X 2 3 4 5 M 1 1 N 6 2 0 4 3 3 V 2 2 W 5 2 X 11 2 III If point M x 4 is equidistant from A 5 2 and B 3 4 find the value of x IV If point N 3 y is equidistant from P 2 6 and Q 7 2 find the value of y

DISTANCE BETWEEN TWO POINTS Given three points which serve as vertices of a triangle a find the perimeter of each triangle and b determine the kind of triangle according to sides and angles A 0 0 B 5 2 C 3 3 D 3 8 E 5 5 F 6 0 G 2 3 4 3 3 4 V 3 1 W 2 3 2 X 2 3 4 EM 11 N 6 2 0 4 3 1 Determine whether the given points are collinear or non collinear P 3 3 Q 0 1 R 9 7 2 S 3 1 7 1 3 U 10 B V 2 2 W 5 2 X 11 2 If point M x 4 is equidistant from A 5 2 and B 3 4 find the value of x IV If point N 3 y is equidistant from P 26 and Q 7 2 find the value of y

Using the given diagram solve for x DO 8 6 X 3

In a certain city E Street W Street C Street and D Street are parallel streets that intersect K Street and M Street How long is K Street between C Street and D Street Park The length of K Street between C Street and D Street is ft MS WS K St D S

A triangle is formed by the building s height and shadow Another triangle is formed by the flagpole s height and shadow Using the following diagram find the height of the building 46 ft 40 ft 2 ft

Use the figure to complete the proportion 11 PA j y d f bD g a

Use the figure at the right to complete the proportion BC CD HJ B E F G H K

To the nearest millimeter a cell phone is 117 mm long and 48 mm wide What is the ratio of the wid to the length The ratio of the width to the length is Type the ratio as a simplified fraction

TRAP EZYD Use the diagram on the right to find the scale factor of TRAP to EZYD The scale factor of TRAR to EZYD is T 14 R E 43 14 14 P 28 Z 16

Question Determine the equation of the parabola whose graph is given below Write your answer in General Form 7 6 5 4 3 2 3 4 5 6 7

9 If LO 15x 19 and QN 10x 2 find PN 12 1 L P N 2X1

Find the missing angle measure in the figure 10 75 142

Select all functions below that would have the end behavior that falls to the left and rises to the right Multiple answer f x 2x 3x 5 f x 2x 3x 5 f x 3x5 2x 5 f x 3x 2x 5

List all the factors of 12

ind the length of the altitude to the hypotenuse of a right triangle whose sides have engths 6 8 and 10 The altitude to the hypotenuse separates the hypotenuse into wo parts The smaller part is 3 8 Round your answer to the nearest tenth

Find the value of x 3 6

Find all roots of g x g x 3x x 3x 1 Write your answer as a list of simplified values separated by commas if there is more th one value

Find all rational roots of g x g x 11x 54x 16x 1 Write your answer as a list of simplified values separated by commas if there is more one value

Find the value of x 24 20 Note The figure is not to scale

In the diagram to the right GKNM VRPT Find the value of x Give the scale factor M of the left polygon to the right polygon Type an integer or a decimal The scale factor of GKNM to VRPT is Simplify your apcworn Tupo X G N 8 4 3x 1 K R x 5 The figures are not to scale 63 P V 3

Identify the altitude in ARST shown to the right The altitude of ARST is RT ST R P

Using the given diagram solve for x 12 10

The point P 24 y lies on the unit circle shown below What is the value of y in simplest form P x y Note the figure is not drawn to scale L

The unit circle below shows 85 and 85 Find the values below rounded to three decimal places if necessary 0 087 0 996 85 O 85 0 087 0 996 cos 85 cos 85 cos 85 L