Geometry Questions

Filipo is bulding a rectangular sandbox for his younger brother The length of the sandbox is 1 foo longer than twice the width of the sandbox The perimeter of the sandbox is 29 feet Which equation could be used to determine w the width in feet of the sandbox

e on a hillside casts a shadow c 235 ft down the hill If the angle of inclination of the hillside is b 20 to the horizontal and the angle of elevation of the sun is a 50 find the height of the tree Round your answer to the nearest foot ft

Move the slider k so that the graph of y 2 stretches vertically 2 units Then type the new function f x in the answer box 5 4 f x 2 O 3 k 1 00 6 5 4 3 2 1 2 3 You did not stretch your graph correctly Try again 1 www Lesson Exponential Functions and 2 3 O 4 5 T

Solve the triangle with b 4 c 1 and A 120 degrees Solve the triangle with a 4 b 3 and c 6 Suppose that 500 feet away from a lighthouse you measure the anglo level ground up to the top of

f sin a 0 287 and sin 8 0 469 with both angles terminal rays in Quadrant l find the values of a cos 8 a b sin 8 a 0 18099690 X Your answers should be accurate to 4 decimal places

What is the area of sector formed by ZFHG to the nearest hundredth H 64 58 129 15 314 16 O232 48 G 74 10 F

Identify the center and radius of each Then sketch the graph 86 42 Ay 6 4 6 41 21 q 61 4 y 2 x 2 y 3 4 y Center 2 3 Radius 4 16 8 x Center 1 3 Radius 4 6 8 x Center 2 3 Radius 2 2 4 6 8 x Center 1 3 Radius 1 6 8 x

Find the area of the sector O 242 3 lon 2 O 297 8 35 Tom 17 km kom 240 11 km

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

The graph of which equation would be a circle with a center at 2 3 and a radius of 7 x 2 y 3 7 O x 2 y 3 7 O x 2 y 3 O x 2 y 3 49 O None of the other answers are correct

Find the length of the arc O 1217 12 O 32 3 2 in m ft O km 135 6 ft

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

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

The union of set A 1 2 5 and set B 1 2 6 is which of the following sets O 1 2 6 1 O 1 2 5 6 O 1 2 1 2 O 1 5 6 3

Find the probability A box of chocolates contains three milk chocolates four dark chocolates and three white chocolates You randomly select a chocolate It is a milk chocolate or a dark chocolate 0 700 0363 0 818

Bill has 5 quarters and 6 dimes in his pocket He pulls out a coin What are the odds in favor of the coin being a dime

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

What is the theoretical probability of landing on green when the spinner is spun Write your answer in reduced fraction form

True or false If A 5 6 7 and B 6 8 10 12 the union of sets A and B is the set 5 6 7 8 10 12 O True O False

A colored wheel is spun 50 times and the results are shown in the table below What is the experimental probability of landing on blue Write answer in reduced fraction form Blue Red Green 15 18 17

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

Let set C 0 1 3 10 and set D 2 4 6 8 10 What is COD

Write the equation in standard form for the circle with radius 4 centered at the origin

has a vertical transverse axis of length 6 and asymptotes A hyperbola 8 8 of y 5and y x 8 Find the center of the hyperbola X 3 3 ts focal length and its eccentricity The center of the hyperbola is The focal length is 9 16 OF I

Write the equation for the graph shown 0 5 10 8 6 4 2 Oy 2 x 5 Oy 2 x 5 Oy 2 x 5 10 8 6 2 2 4 9 6 8 2 10 4 1 for 4 6

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

23 Cameron deposits 120 000 in a bank account that earns 0 5 interest compounded yearly At the same time John deposits 135 000 in another bank account that earns 0 4 interest compounded yearly After one year who earns a greater amount of interest How much more He earned earns more interest 0 more dollars after one year

2 Mr Grindles invested 2 200 into an account compounded continuously at a rate of 4 How long until his money in the bank doub

4 1 Solve the following equation using properties of logarithms log loga z 6 2 H 2 Find the extraneous solution of the above equation if any HI no extraneous 4 2 2 no extraneous solution

Condense each expression to a single logarithm 3 log 2 2 log 5 2 log z 12 log y log 12 logg 7 4log 5 3 log 3 12 log 7 DRAG DROP THE log z y 2 3 712 logg log 84 54

3 The function y e 2 5 translates left left right ar

2 Consider the function g x 0 5 log x 8 12 Part A Which statement describes the transformation of the parent function f x log x to the given function A stretch by a factor of 0 5 translation 8 units to the left and 12 units down B compression by a factor of 0 5 translation 8 units to the right and 12 units up stretch by a factor of 0 5 translation 8 units to the right and 12 units up D compression by a factor of 0 5 translation 8 units to the left and 12 units down a b Part B What is the asymptote of the function g x

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

21 Limone s Lemonade Corp has a savings plan for its employees If an employee makes an initial contribution of 1 000 00 the company pays 8 interest compounded quarterly What is the value of the account after 5 years A 1 485 95 B 59 049 000 C 1 500 00 D 1 469 33

Expand each logarithm 2 m n A 10 log m 2log n B 2logm 2logn 2log m 2 log n D 7log m 2log n log

1 For what value of x is the equation 22x 7 215 true A 16 B 4 11 D 44 E 2

Simplify condense the logarithm log 4 2 log a into a single logarithm

Expand Rewrite as a sum or difference of multiples of logarithms without exponents In x y

3 Which of the following is the solution to the equation 12e z 200 50 3 A In B In D ln 25 3 50 3 100 3

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

Simplify the logarithm 2log a 3 log b log c

10 Select all the solutions to the equation In x ln 24 2x A 0 B 8 ce D 4 E 6

Use properties of logarithms to evaluate log4 6400 log4 100 A 2 41 B 6 31 1 81 D 3

Solve the following logarithmic equation for x log 2z 8 logs 42 10 X SHOW HINT

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

1 Question 1 23 Ov Find the range of y 2 1 SHOW HINT

5 Rewrite the equation in exponential form log b c A b c B C b a Dat b

5 The equation 34 81 rewritten in logarithmic form would be A log4 3 81 Blogg1 3 4 log4 81 3 log 81 4