Answer:
Below
Step-by-step explanation:
sin 32 = d / 500
Cross multiply:
d = 500 * sin 32 = 275.71 feet.
He went wrong by dividing by sin 32 instead of multiplying.
He should have cross multiplied.
Given:
BD is parallel to XY.
One of the angle is 85°
To find:
The value of y.
Solution:
Parallel lines BD and XY cut by a transversal line.
Angle y and 85° are alternate interior angles.
Alternate interior angle theorem:
If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.
⇒ y = 85°
The value of y is 85.
Answer:

Step-by-step explanation:
Given


Required
Determine the average rate of change
Average rate is calculated as thus;

<em>In this case; b = 12 and a = 6</em>
Calculating f(12)



Calculating f(6)



Substitute 12 for b and 6 for a in 

Substitute values for f(6) and f(12)



2/3 of 225
= 2/3 x 225
= 150
Answer: g(x)-f(x)=8x-16
Explanation:
f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")
g(x)=5x-12
g(x)-f(x)=(5x-12)-(-3x+4)=5x+3x-12-4=8x-16