Area Questions and Answers

15 A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna How far from the base of the antenna is the guy wire secured 20 ft

b 4 a 25 Find the measure of b

exponent The base is the graph below If a value is non integer type is as a fraction equation for y X The exponent on our transformed function is

Question 2 Find the value of x in the figure 53 O 180 Points 3 90 360 270 X 37

Given AABC is isosceles m ACB 120 CM 12 m BMC 60 Find AB M C B

10 The length of a rectangle is twice the width If the width is 9 feet find the perimeter ft

Question 7 Points 2 The measure of an included angle between two sides is 45 and the measures of the sides are 5 m and 8 m Find the measure of the third side O 4 5 m O 5 5 m 5 7 m 5 9 m RE CO

The hydraulic retention time for a single reactor or treatment unit can be calculated by dividing the volume of the reactor by the influent flow rate A gravity sand filter bed that is rectangular with horizontal dimensions 6x18 ft has an influent flow rate of 50 gpm and a hydraulic retention time of 216 minutes How deep is the sand bed Round your answer to the nearest hundredth hint first calculate the volume of the filter bed then use the known dimensions to calculate the missing one Y

1 Find the area of the quadrilateral 24 LA 10 4 M 5 4 3 2 1 2 H 1 2 4 S 1 2 3 4 5

1 2 3 4 5 in 15 81 11 7 14 m 13 42 11 15 16 16 11 10 in 14 m 15 12 1 m 8 in 15 56 14 m 12 13

6 7 8 9 7 7 m 1 5 yd 5 8 m 6 m 5 9 in 14 9 ft ft 5 m 7 ft 6m 4 yd 15 1 ft 5 8 m 4 in

2 Find arc x degrees 409

1 State if the following statement is true or false If the statement is false then correct it If we perform the row operation R 2R R and then R3 2R R and then R3 2R R3 on the matrix we obtain 0 1 0 20 1 1 2 3 423 4 5 2 3 2 1 2 Use matrices and elementary row operations to solve the following system of equations 2x 3z 8 3x 3y 6z 9 x y z 5 2

Write a two column proof to show that the two triangles are congruent Given AB DE D B E C is the midpoint of AE and DB Prove AACB AECD

A bowl is shaped like a hemisphere with diameter 60 cm A heavy ball with diameter 32 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters Find the volume V of water in the bowl Consider two cases one in which the ball is not completely submerged and the other in which it is V V 3 cm the ball is not completely submerged cm the ball is completely submerged

a As shown must RSTV be a parallelogram b With measures as shown is it necessary that RS 5 V 8 T

7 Why do you think triangular structures are so stable 2 points

1 Convert each of the following angles to radians There are some negatives a 30 b 45 c 210 e 120 g 150 1 90 k 240 d 225 f 135 h 180 1 60 1 270

18 Verify that the following points lie on the Unit Circle 1 0 0 1 2 2 2 2 1 2 3 2 and 3 2 1 2

https www webassign net web Student Ass Sketch the solid and a typical disk or washer y 0 5 O 6 4 2 2 4 6 0 5 y 4 2 1 0 1 5 1 5 X X 1 5 10 0 5 2 4 5 3 2 4 y y 0 5 1 0 1 5 X 89 F Sunny

1 Name the following relationship between theses circles B O Disjoint circles O Tangent circles Intersecting circles Concentric circles

1 Determine whether the statement is true or false 1 point each a The median of a trapezoid is parallel to each base b The diagonals of a kite bisect each other c The consecutive angles of a parallelogram are supplementary

2 Given ABCD with diagonal AC Prove AABC ACDA I 1 Statements 2 ABCD and BC AD 3 ZCABZACD and ZACBZCAD 4 AC AC 4 points Proof 1 2 3 4 5 A D Reasons B C

8 Find the sum of the measures of the interior angles of a poly gon of n sides if a n 6 b n 8

In Exercises 23 to 26 use line segments of lengths a and c as shown 23 Construct the right triangle with hypotenuse of length c and a leg of length a C

Use the unit circle to find the value of tan 2x and periodic properties of trigonometric functions to find the value of tan 7 2 2 1 0 2 4 0 1 0 1 40 1 0 5 Q 27

ind the length x to the nearest whole number 35 27 www 517

In Exercises 1 to 4 consider the congruent triangles shown 1 For the triangles shown we can express their congruence with the statement AABC AFED By reordering the vertices express this congruence with a different statement 8 11 10 B E a b F Exercises 1 4 2 With corresponding angles indicated the triangles shown are congruent Find the lengths of sides indicated by a b and c

j k 15 Given Find B 5 4 A 3 6 2 1 C m 1 122 3 m 5 41 5 m 2 m 3 and m 4

3 In the diagram below of rhombus ABCD ADAC Which of the following is the measure of ZBDC A B 1 30 2 45 3 60 4 75 D E C

Use your calculator to find the measure of the angle to the nearest degree tan 9 1

17 Solve for the surface area and volume of the composite figure made of a right cone and hemisphere half sphere 15 points 10 in 13 in

formation is given about AABC Determine if the information gives one triangle two triangles or no triangle Solve the resulting triangle s Round the ngths of sides and measures of the angles to 1 decimal place if necessary c 12 b 5 B 38 There is no triangle that can be formed from the given information O There is one unique triangle that can be formed from the given information A a O There are two triangles that can be formed from the given information Triangle 1 S E

Solve the triangle For the sides give an expression for the exact value of the length in terms of sine and approximate to I decimal place Part 1 of 3 A B 64 Part 1 3 Part 2 of 3 Skin Part Check b 71 118 6 sin cos 97 4 a 00 B Save For Show Transcribed Text

problems 8 10 Leave your answers in terms of pi 240 14 in 315 19 12 16 ft 12 ft

arc Leave your answers in terms of pi 8 9 315 150 3r 8 cm 19 ft 13 ft

2 Find the distance around one fifth of a circle with diameter of 14 inches 3 Find the distance around five sixths of a circle with diameter of 20 yards For problems 4 7 find the length of the darkened arc Round your answers to the nearest tenth 4 5 6 11 ft 315 270 3x 13 ft 16 ft

Vrite an equation of a circle with diameter AB where A 3 0 and B 7 6 Answer Vo 0 TU a

Find the values of x and y Lines that appear to be tangent are tangent X Do not include the degree symbol in your answer JO 238

the value of x X ver eck 4 9 6 3 X the value of x to the nearest tenth 18

Find each indicated measure for circle O a mZA b mCE c m c d mZD e mZABE a mZA Do not include the degree symbol in your answer A 740

1 Similar polygons The quadrilaterals JKLM and PQRS are similar Find the length x of QR 0 Z M 2 8 X 9 8 S R S

16 Given Find M 43 65 MNL NO and Zs as shown x y and z R 26

A company manufactures aluminum mailboxes in the shape of a box with a half cylinder top The company will make 1960 mailboxes this week If each mailbox has dimensions as shown in the figure below how many square meters of aluminum will be needed to make these mailboxes In your calculations use the value 3 14 for and round up your answer to the next square meter 0 6 m 0 8 m 0 75 m 2 X

Numerically estimate the absolute extrema of f x 10x 30x cos x on 9 0 Round your answers to four decimal places The absolute select The absolute select is approximately 2 8051 is approximately 9

The radius of a wheel rolling on the ground is 80 centimeters If the wheel rotates through an angle of 45 how many centimeters does it move Express your answer in terms of and then round to two decimal places A The distance that the wheel moves is centimeters Type an exact answer using as needed Use integers or fractions for any numbers in the expression

2 Is the set named empty finite or infinite a L points on a line b B baseballs used in a major league game c N negative numbers that are larger than 5

At one college GPA s are normally distributed with a mean of 2 6 and a standard deviation of 0 5 What percentage o students at the college have a GPA between 2 1 and 3 1 Use the 68 95 99 7 rule A 99 7 B 84 C 95 D 68

11 For the sets given in Exercise 9 is there a distributive rela tionship for union with respect to intersection That is does AU BNC AUB n AUC

e polygon circumscribes the circle What is the perimeter of the polygon 3 mm 7 mm wer heck polygon circumscribes the circle What is the perimeter of the polygon 7 in in 17 mm 4 in 3 in