Choose which pair is the furthest apart on a number line. Question options:

A. -3 and 5

B. -5 and 2

C. -10 and -6

D. -2 and 3

A because it do the far

Step-by-step explanation:

A is the answer

Step-by-step explanation:

A is the answer because if you were to see every value -3 and 5 are farthest apart because the are 8 units away from each other.

A is correct because -3 is 8 units away from 5

B is incorrect because -5 is 7 units away from 2

C is incorrect because -10 is 4 units away from -6

And D is incorrect because -2 is 5 units away from 3

Thus Pair A is the Farthest Away from Each Other on the Number Line

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Height of vertical post relative to the horizontal is 6.3 ft

Height of vertical post above the roof (roofing sheets) is 4.0 ft

Step-by-step explanation:

Given the roof is 20° relative to the horizontal and the solar panel should be 38° relative to the horizontal, then finding the vertical support holding the back of the panel relative to the horizontal will be;

Apply the formula for sine of an angle as;

Sin of angle theta = opposite side length/hypotenuse

Sin 38° = O/8  where O is the length of opposite side of the angle

8*sin 38°=O

4.93 ft = O

Applying Pythagorean relationship to find the length from the bottom part of the panel to the vertical support relative to the horizontal will be;

a²+b²=c² where a=?, b=4.93 and c = 8

a²+4.93²=8²

a²=8²-4.93²

a=6.3 ft

Finding the height of the roof from the horizontal at 20° angle

Tan 20°= O/6.3

6.3 tan 20° = O

2.3 ft =O

Now finding the length of vertical post above the roof will be;

6.3-2.3=4.0 ft