The o-rings in the booster rockets on the space shuttle are designed to expand when heated to seal different chambers of the rocket so that solid rocket fuel is not ignited prematurely. according to engineering specifications, the o-rings expand by some amount, say at least 5%, in order to ensure a safe launch. hypothetical data on the amount of o-ring expansion and the atmospheric temperature in fahrenheit at the time of several different launches are given in the file o-ring. xlsx. a. prepare a scatter plot of the data. does there appear to be a linear relationship between these variables?

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150

(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

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