the height of the house is 
.
<u>Step-by-step explanation:</u>
Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:
Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.
Distance of house from point A( initial point ) = x ft
Distance of house from point B( when she traveled 200 ft towards street = x-200 ft
Now , According to question these scenarios are of right angle triangle as
At point A
⇒ 
⇒ 
⇒ 
..................(1)
Also , At point B
⇒ 
⇒ 
..............(2)
Equating both equations:
⇒ 
⇒ 
⇒ 
⇒ 
Putting in we get:
⇒
⇒ 
⇒ 
Therefore , the height of the house is .
Answer:The value of the expression increases as r decreases.
Step-by-step explanation:
To find : What happens to the value of the expression as r decreases?
Given Expression: 80-2r
We check for different value of r as decreasing order,
r 80-2r
5 80-10=70
4 80-8=72
3 80-6=74
2 80-4=76
1 80-2=78
As r decreases the value of expression increases.
Therefore, the value of the expression increases as r decreases.
Hope this helps!
Answer:
B
Step-by-step explanation:
So we have the function:
To find the inverse, flip f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:
Subtract 32 from both sides:
Multiply both sides by 5/9. The right side will cancel. Thus:
Our answer is B.
And we're done!
Answer:
Step-by-step explanation:
Let d be the cost of a drink. The expression for the cost of the pizza and 4 drinks is
12.75 + 4d
If each drink costs $3, then
12.75 + 4(3) simpifies to
12.75 + 12 which equals 24.75
