Basic Math section 2

Section II Exam

[Name]

[University]

[Professor 's Name]

[Subject]

Complete the problem below and show your work

Question 1

The seating area at the Music Theatre is the shape of a parallelogram . Its base is 34 yd and its height is 39 .6 yd . Find the area

Answer

Area base height or A b h

Since the base 34 and height 39 .6 , then the Area 34 yd 39 .6 which is equal to 1346 .4 square yards Question 2

The diagonal of a small

pasture measures ?12 ,617 feet in length . Find the length of this diagonal to the nearest tenth of a foot . Use a calculator or a square root table when needed

Answer

Using the calculator , the diagonal is 112 .3 feet

Question 3

A rectangular plot of land is 71 meters by 87 meters . Find the length of the diagonal . Round to the nearest tenth

Answer

Let d be the diagonal of the rectangle

d (712 872 ?12610 112 .3 meters

Question 4

A radio station sends out waves in all directions from a tower at the center of the circle of broadcast range . The broadcast range has a diameter of 196 miles . Determine how large an area is reached . Use 3 .14 and round to the nearest hundredth

Answer

Given : diameter 196 miles , thus the radius is 98 miles

area is unknown

Area radius2 982 3 .14 9604 30 , 156 . 56 square miles

Question 5

Juliet runs out of gas in Barnhaven , South Carolina . She walks 9 mi west and then 5 mi south looking for a gas station . How far is she from her starting point ? Round to the nearest tenth

Answer

Illustration Let d be the distance of Juliet from the current point to the starting point

d (9^2 5^2 ?106 10 .3 mi

Question 6 See the above figure . Find the measure of the angle ?DGF

Answer ?DGF ?DGE ?EGF 45 45 90 degrees

Question 7

A new pyramid has been found in South America . The pyramid has a rectangular base that measures 62 yd by 180 yd , and has a height of 100 yd . The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone . The stone weighs 432 lb per cubic yard . How many pounds does the pyramid weigh

Answer

Given

base area 62 yd by 180 yd 11160 square yd

height 100 yd

stone 's weight 432 lb per cubic yd

pyramid weight is unknown

Let W be the pyramid weight

W stone 's weight volume

Volume base area height 11160 100 1116000 cubic yd

Hence

W 432 lb /cubic yd 1116000 cubic yd 0 lb Question 8

d the gold for the filling cost ? Round to the nearest cent . Use 3 .14

Answer

Given

r radius 3 mm

h height 4mm

gold cost per cubic mm 16 .00

gold cost is unknown

Let C be the gold cost

C volume gold cost per cubic mm

Volume r2 h 3...