Area Questions and Answers

X BOMR is a rectangle Find x B R 7x 2 5x 16 M

Use the map shown below to find the distance between cities A and B to the nearest tenth 10 8 6 4 8 06 10 The distance is Round to the nearest tenth as need

A 7 1 foot by 6 foot concrete wall is to be built using concrete blocks Find the area of the wall The area of the wall is sq ft Type an integer or a decimal

A 7 1 foot foot by 6 foot concrete wall is to be built using concrete blocks Find the area of the wall The area of the wall is sq ft Type an integer or a decimal

A flag measures 475 feet by 220 feet Find its area 1 220 feet 475 feet The area of the flag is feet Simplify your answer square feet

The surface area of a three dimensional figure is the sum of the areas of all of its surfaces You can find the surface area by finding the area of a net for the figure a Draw a net for the solid shown Label the dimensions b What is the area of the net What is the surface area of the solid a Choose the correct answer below A 5 in 5 in Q T 12 in SOB 5 in T 12 in 1 Q 5 in O C 5 in 5 in 12 in o C T 12 in 1

Find the area of the shaded figure A mm Type an exact answer in terms of x O 50

Find the area of the shaded region All angles are right angles chodod region is 2 m www 2 m 12 m 8 m 2m 4 m

Find the area of the circle with the following dimension Diameter 10 cm cm The area is Round to the nearest tenth as needed

Denise is training for an upcoming charity run The course is designed as shown to the right How many miles will Denise run during the event Denise will run miles 2 mi 6 5 mi 6 5 mi

Find the distance around the figure The distance around the figure is 108 feet 27 ft 7 ft 21 ft

Calculator Hays is standing outside on a sunny day He is 6 ft tall and casts a 4 ft shadow What is the distance from the top of Hays s head to the end of his shadow Round to the nearest tenth if necessary O 4 5 ft O 5 ft O 7 2 ft O 10 ft 6 ft 4 ft

Which triangles are similar by the angle angle criterion for similarity of triangles O D B E DA C B A AAECABED AADE AABC E C O AC B B D AABC AADC C AADC AADB

Find the measures of The measure of angle x is

Match the three dimensional figure with its net Choose the correct net below OA OB O C

Find the measures of angles x y and z in the figure The measure of angle x is 40 The measure of angle y is

Find the measures of angles Xx The measure of angle x is 39 The measure of angle y is 141 The measure of angle z is O

A point on the terminal side of an angle 8 in standard position is 24 7 Find the exact value of each of the six trigonometric functions of 0 Select the correct choice below and if necessary fill in the answer box to complete your choice 7 25 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression OB The function is not defined Select the correct choice below and if necessary fill in the answer box to complete your choice O A cos 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression QB The function is bot defined sin 8

y Z Find the value of each variable 118 2 107 810

5 A point on the terminal side of an angle 0 in standard position is 4 11 4 Find the exact value of each of the six trigonometric functions of 0 D Select the correct choice below and if necessary fill in the answer box to complete your choice OA sin 8 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression OB The function is not defined

Question 9 10 points G H If m J 47 degrees what is the measure of ZGHI Your Answer

Question 8 10 points E Your Answer B D if mZD m A 2x 12 A Solve for x 5x 36 and

In circle R with m QRS 150 find the angle measure of mi Ingwer m QS S R Q O Submit Answer attempt 1 out of

In circle G mEF 71 Solve for x if m EGF 7x 28 If necessary round your answer to the nearest tenth F E G

In circle B with the measure of arc AC 56 find m ABC C B A

On the last exam 20 of the 6th grade students scored 70 or higher If 70 students took the exam how many students scored 70 or higher 49 1540 90 5 po

Given APHS ACNF find the values of x y and z 3y 1 36 H 6x 29 115 C

Below is the graph of a polynomial function with real coefficients All local extrema of the function are shown in the graph 10 8 b A 10 10 Use the graph to answer the following questions a Over which intervals is the function increasing Choose all that apply O 8 8 4 4 3 3 8 4 8 8 00 b At which x values does the function have local maxima If there is more than one value separate them with commas 0 c What is the sign of the function s leading coefficient Choose one d Which of the following is a possibility for the degree of the function Choose all ply 0 0 X

Compute the perimeter and area of the object given in the picture Angles that look like right angles are right angles 5 yd P A 6 yd 13 yd 4 yd yd yd Q

2 Find the area of parallelogram WXYZ Round to the nearest tenth F 27 in2 G 45 in H 63 6 in J 81 in W 45 X 6 in 7 5 in N End

Probability of choosing an odd num 3 10 1 2

II 7 1 Compute explicitly the fractional linear transformations determined by the following correspondences a 1 1 2 0 b 0 1 0 0 i 1 1 1 1 2 c 0 1 1 2 0 1 00 d 2 1 2 1 2i 0 1 2i H Solution a We have the points The mapping is w wo w w 2 0 1 2 w w ws wo 2 22 21 20 20 1 i 21 2 22 0 w 0 w wo 1 w w w w 1 wo w take limit as w to obtain of triples 0 1 e 1 2 x f 0 i 0 1 0 0 1 0 g 0 00 i h 1 i 1 1 0 1 a wo 0 W 1 1 1 z 1 i 2 0 O T 220 21 22 2 22 21 20 5 2iz 2 2

Graph the solution set of the system of inequalities y 9 lyzx 3 ly 146 46 46 TH Webdesign Graphing Tool Find the coordinates of all vertices If there is no solution enter NO SOLUTION n smaller x value Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properes

5 ABCD is cyclic M is a point of intersection of its diagonals Given AB BC 9 and BM 3 find DM

A traveller on a boat along a river wishes to estimate the height of the cliff The figure to the right shows the angle measurements she made at points 240 m apart How high is the cliff In the figure the triangle containing the height h is vertical and perpendicular to the path followed by the boat The height of the boat can be ignored River 32 6 240 m Cliff 71 5

Find the exact value of sin 22 5 using the half angle identity Select one O a 2 2 2 ob 2 2 2 2 2 OC 2 2 2 O d 2

Write the following as the sum and or difference of logarithms Assume all variables are positive 6b log 7 The answer format in lowercase characters is log number Spaces in the answer are optional

radii Preview 2 1 rad What is the terminal point s distance to the right of the center of the circle measured in radius lengths 2 8 cm cm Preview What is the terminal point s distance to the right of the center of the circle measured in cm What is the terminal point s distance above the center of the circle measured in radius lengths radii Preview 1 What is the terminal point s distance above the center of the circle measured in cm

2 Find the area of the circle below Express your answ in terms of pi and as a decimal rounded to the nearest tenth 20 m

In a Venn diagram what does the overlap between the two circles represent O The union of the two sets The intersection of the two sets The elements that are in either of two sets O The difference between the number of elements in two sets

Find the probability You roll a fair six sided die The die shows a three or a five 0 333 0 28 0 929 0 615 Nong of the other answers oro correct

Let set A 2 4 6 8 10 12 and set B 3 6 9 12 15 What is BOA

If the universal set U 2 4 6 8 10 and F 4 10 then which set represents F O 1 3 5 7 9 2 6 8 O 4 6 8 10 C 5 7 9

Solve the logarithmic equation algebraically log 3x log x 2 2 Enter the correct number in the box to complete your answer x Show Hints

7 What is the value of x if log5x 2 A 25 B 10 C 100 D 2 2 E 5

4 The graph of an exponential function g z is shown 343 Which statement best describes the value of g x as z approaches infinity A The value of g z approaches 1 B The value of g x equals 1 The value of g x equals 0 The value of g x approaches 0

2 Solve the following logarithmic equation for x 3 log x 4 6 X

X 3 The point guard of a basketball team has to make a decision about whether or not to shoot a three point attempt or pass the ball to another player who will shoot a two point shot The point guard makes three point shots 30 percent of the time while his teammate makes the two point shot 48 percent of the time 3 P x X P x 0 30 2 0 48 0 0 70 0 0 52 a What is the expected value for each choice b Should he pass the ball or take the shot himself Explain

TIONS em 1 em 2 em 3 m 4 m 5 n6 n7 6 Find the area of each of the regular polygons shown be Polygon 14 49 ft 12 ft 9 63 in 337 05 695 52

blems 3 Find the area of the parallelogram sho D