Heights & Distances Questions and Answers

5 A square sheet of metal is sixteen inches on a side A square of side x inches is to be cut out of each corner of the metal sheet The sides of the sheet are then to be folded up to make a metal tray What should x be in order for the volume of the tray to be a maximum 6 There is a lamp on the ground exactly sixty feet from the vertical wall of a building A man six feet tall is walking away from the lamp in a

Solve triangle ABC If an answer does not exist enter DNE Round your answers to one decimal place Below enter your answers so that A is smaller than A2 b 126 c 164 2A1 2C1 a1 X zB 48 A C a2

Graph one complete cyc 41 y sin x 4 43 y 3 sin 2x 7

Multiply Write your answer in simplest form y y 9y 6y 1 8

9 Solve for y 2 pts 9 y 19

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

Direct processes that secure domination and the privileges associated with it

The mean of the following data values is 34 19 23 35 41 42 O A True OB False

What is the equation for the line of best fit for the following data Round the slope and y intercept of the line to three decimal places O A y 10 671x 0 580 OB y 0 580x 10 671 C y 0 580x 10 671 D y 10 671x 0 580 x y 29 5 7 12 10 5 3 16 2

The linearized regression equation for an exponential data set is log 0 14x 0 4 where x is the number of years and y is the population What is the predicted population when x 20 Round your answer to the nearest whole number OA 112 590 OB 1585 C 630 D 3

If the variance of the data values in a population is 169 what is the standard deviation of the data values O A 13 OB 17 O OD 15 C 11

Use the Binomial Theorem to expand the polynomial a b then fill in the blanks a a b 6a 4 8 6

What is the probability that out of 175 chicks hatched on Peeper Farm dl least 70 will be female Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 88 7 OB 38 1 OC 3 5 D 99 7

83 Use a calculator to find 0 if sec 0 2 3931 and 0 is an acute angle Give your answer to the nearest tenth of a degree

Find exact values for each of the following 61 sin 120 63 tan 135 65 cos 240 67 csc 330 69 sec 300 71 sin 390 73 cot 480 62 64 66 68 70 72 74

Find x and y 28 xq 13

Solve for x Round to the nearest tenth da 19 1 point O 41 8 63 5 28 5

If a coin is flipped 5 times and heads comes up 3 times what is the relative frequency of heads coming up A 0 80 B 0 60 C 0 20 D 0 40

Which of these pieces of data about an animal at the zoo is considered numerical data A Color B Gender O C Species D Length

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

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12 781

What is sin 60 3 B 3 O A Na Sl O C 1 O D 3 OE 1 2 E OF 5

Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes OA 49 1 OB 35 35 1 O C 112 1 OD 343 1