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 .
The sunflowers grew 5 more centimeters than last week. Last week they grew 29 centimeters. 29+5=34. THe first week the flowers grew 29 centimeters. In the second week they grew 34 centimeters. in those two weeks they grew 63 centimeters.
Answer:
5km costs $4
if you take the intial charge of $2, you're paying $4 per 5km
hence 10km= 2 *5km= 2*$4=$8+initial charge $2= $10
15Km= 3*5km= 3*$4= $12 + intial charge $2 = $14
Step-by-step explanation:
The answer would be 30%
Explanation~
Well, you would have to add 27 and 23 first since, it says, “What percentage of the twelfth grade students have more than one college in mind” then, you’d have to figure out the percentage from there. And the percentage would be, 29.4117647059% of 170, round that to the nearest percent and it’s 30 I’m pretty sure.
The answer is A.
When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes
from
To
And therefore the function is shifted 2 to the left.
