The numbers are increasing by positive 10 each time. So the rate of change is 10.
Answer:
-16x-28
Step-by-step explanation:
Break it into little pieces; start with distributing the -7:
-7(5+x)
-35-7x
Now add the rest of the problem: 7-35-7x-9x
Combine like terms: 7-35 7x-9x
7-35=-28 7x-9x=-16x
Rearrange so the coefficient and variable are upfront, giving you:
-16x-28
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
