Date: 6.
The low temperatures in January of five
Alaskan cities are shown in the table below.
10
D.
14
City
n the expression
e answer to be 40.
ressions shows
entheses?
January Low Temperatures
Temperature
(°F)
Barrow
-20
Dillingham
9
Galena
-16
Kuparuk
- 24
Skagway
18
(4 x 8) + 2
(4 x 8+2)
What is the difference between the warmest
and coldest temperatures?
ression below?
A.
-6°F
B.
6°F
C.
15°F
D.
42° F

a

explanation:

answer:

your answer is: c. 196 7/8 in^3.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240