Questions

Find the unknown lengths for the similar triangles below X y 6 ft 7 5 ft 6 ft Q 14 4 ft y X ft If needed round to 2 decimal place ft If needed round to 2 derimal placo Q

What is the minimum height the ladder must be to reach the roof III I 6ft 8 Ground Ladder F5ft

Find the length of the hypotenuse of the triangle pictured below Enter the exact value as a square root Do not round 4 13

Find the length of the leg x Enter the exact value not a decimal approximation X X 6 16

Find the unknown lengths for the similar triangles below 5m X y 8m 11 5 m 12 m y m If needed round to 2 decimal place m If needed round a

Find the unknown length x for the similar triangles below 5m x 9 m 8m Q 12 m x 21 6 m m If needed round to 2 decimal place a

Find the length of the hypotenuse of the triangle pictured below 6 hypotenuse 6 Q

Suppose you are standing such that a 20 foot tree is directly between you and the sun If you are standing 80 feet away from the tree and the tree casts a 100 foot shadow how tall could you be and still be completely in the shadow of the tree Your height is 80 ft 100 ft 20 ft Q ft If needed round to 1 decimal place

Triangle BIG is similar to triangle MOP Find B V V P I 40cm 54cm Figure is not drawn to scale G 81cm 21cm M

From a window 30 0 ft above the street the angle of elevation to the top of the building across the street is 49 0 and the angle of depression to the base of this building is 16 0 Find the height of the building across the street The height of the building across the street is ft Round to the nearest whole number as needed 49 Ji

Find x X X 50ft Figure is not drawn to scale 56ft 80ft

Refer to the figure below which contains the graph of f x the derivative of the function f x If f 3 4 what is an approximate value of f 2 75 2 f 2 75 Type an integer or decimal rounded to the nearest tenth as needed

K Find the mean of the data summarized in the given frequency distribution Compare the computed mean to the actual mean of 47 1 miles per hour Speed miles per hour 50 53 Frequency The mean of the frequency distribution is miles per hour Round to the nearest tenth as needed 42 45 25 46 49 16 CORP 54 57 4 58 61 1 O

49ft X 54ft 42ft Figure is not drawn to scale

Suppose melting snow causes a river to overflow its banks and h t is the number of inches of water on Main Street t hours after the melting begin 1 a If h 50 by approximately how much will the water level change during the next hour and a half b Which of the following two conditions is better news for the next hour 1 h 50 6 h 50 6 h 50 2 ii h 50 6 h 50 6 h 50 2 In the next hour and a half the water level will change by inches Type an integer or a simplified fraction

right triangle 77 2 yd b 42 7 yd he length of c is 88 2 yd Simplify your answer Type an integer or a decimal Round to the nearest tenth s needed ngle A 61 Simplify your answers Type an integer Round to the nearest ten minutes as neec

K A student s course grade is based on one midterm that counts as 10 of his final grade one class project that counts as 10 of his final grade a set of homework assignments that counts as 50 of his final grade and a final exam that counts as 30 of his final grade His midterm score is 62 his project score is 98 his homework score is 87 and his final exam score is 70 What is his overall final score What letter grade did he earn A B C D or F Assume that a mean of 90 or above is an A a mean of at least 80 but less than 90 is a B and so on His overall final score is Type an integer or a decimal Do not round CHIE

Consider the function f x x 3 What is the domain and the range of the inverse of the function Domain Range Type your answer in interval notation without spaces use inf for infinity For example 2 inf Type your answer in interval notation without spaces use inf for infinity For example 2 inf POSSIBLE

K A student earned grades of B A A C and D Those courses had these corresponding numbers of credit hours 4 4 4 3 and 1 The grading system assigns quality points to letter grades as follows A 4 B C 2 D 1 F 0 Compute the grade point average GPA If the dean s list requires a GPA of 3 30 or greater did this student make the dean s list The student s GPA is Type an integer or decimal rounded to two decimal places as needed CHI

Which of the following lines references Wyrd A The fate s decrees change the world under heaven B Wise in spirit afar oft remembers C Borne on their journey hence one the fowl hath borne away D How him in youth his bounteous patron

Consider the function f x 5 Find the inverse f x Type your answer without spaces Use A for the exponents For example 7x 2x 7x 4 2x 3

The most common element found in living organisms is Carbon Water Oxygen Calcium

5 4 3 S 4 3 2 f 1 2 1 2 3 4 5 Use the graph of f a above to estimate the value of f 1 Hint You may find it helpful to hold a straight edge up to your computer screen to approximate a tange line

2

Use the unit circle reflection and symmetry to compute the exact value of the following If undefined write DNE cos 2 sin sec sin tan 5 sec 5

The height of the stone face is feet Do not round until the final answer Then round to two decimal places as needed SIDD

3 Find the unique value of h so that the follow system is consistent 3 ER 2 3 7 h 2

A security camera is to be mounted on a bank wall so as to have a good view of the head teller Find the angle of depression of the lens The angle of depression of the lens is Do not round until the final answer Then round to the nearest tenth as needed 5 64 ft 11 32 ft

X 2 2x 12x 16

Before a movie is made a budget is established to estimate the cost of making the movie In order to know if producing a film will result in a profit it is helpful to predict the gross sales The budget of a movie can be helpful to predict the domestic gross sales Use the file Movie Budgets and Box Office Earnings to predict the domestic gross sales of a movie with a budget of 150 million dollars Round to 2 decimal places

A ship leaves its port and sails on a bearing of N33 50 E at speed 24 3 mph Another ship leaves the same port at the same time and sails on a bearing of S56 10 E at speed 16 3 mph How far apart are the ships after 2 hours Round to the nearest integer as needed miles SCHEES 33 50 56 10

m fire truck ladder is leaning against a wall Find the distance d the ladder goes up above the fire truck if the ladder makes an angle of 33 27 with the horizontal 10 5 m 4 d 33 27 dam Simplify your answer Type an integer or a decimal nearest hundredth

196 196 1 196 2 196 3 196 4 196 5 196 6 196 7 ep 3 of 3 Was the average weight for this sample of orders closer to 196 pounds or 197 pounds hs swer 196 8 196 9 197

Suppose that a person standing on the top balcony of a building must look down at an angle of 60 degrees to see the edge of a pool The distance from the person to the edge of the pool is 86 feet How high above the ground is the balcony Round to the nearest hundredth

1 X

use the gauss jordan algorithm to find the general solution for the 2x4 linear system X 3x 2 4 0 X 2x x3 x4 0 Also give the parametric vector form of the solution

Find the measure of the angle formed by the line passing through the origin and the positive part of the x axis Use the displayed values of x and y The angle between the line and the x axis is Round to the nearest tenth CHE x 3 5 y 6 2 0 10 by 0 10 Xscl 1 Yscl

2 5 2 Graph

Suppose that you are headed toward a plateau 35 meters high If the angle of elevation to the top of the plateau is 25 how far are you from the base of the plateau What is your distance from the base of the plateau meters Round to two decimal places as needed

Solve v 7 4 where v is a real number Simplify your answer as much as possible If there is more than one solution separate them with commas No solution No solution

15 3x 2y 2 Find the slope a 2 3 c 2 3 b 3 2 d 3 2

Solve the right triangle b 1 59 c 4 26

Find the inverse of the matrix using row reduction of the matrix of the form A I 1 0 0 2 1 3 0 0 1 100 213 0 0 1

For how many natural numbers n EN 0 is the following sentence false if n is divisible by 6 or by 9 then n is greater than 920

Solve the right triangle Find the measure of A A Round to four decimal places as needed B 40 0898 a

2 How many elements ne 101 102 1000 satisfy the following state ment n is divisible by 5 or by 6 and n is not divisible by 9 Y Z by 1

9 2m 3m 2 A 2 1 C 2 0 5 B 1 786 1 12 D 2 303 1 303 10 10 10 3v 4 4v 3v 4 4v A 1 2 667 B 1 303 2 303 C 2 23 0 897 D 0 667 2

A GREST VER CURVE AT A POINT Q the station is 13 55 CONNECTS THE 204 2 fl 205 21 206 2x4 GRADE of 2 1 4 75 the MIST NEARLY WHAT IS THE ELE AT POINT B ON THE CURVE AT STA 17 00 A20324 the ELEVATION IS 2 10 6 ft

Predict the general term or nth term an of the sequence 1 11 2 12 3 13 4 14

1 3 Find the value of c that completes the square 1 p 30p c 2 3 z 10z c 4 2 m 16m c 4 2 22z c