Refer to the diagram shown below.
h = the height of the house.
Apply the Pythagorean theorem to obtain
h² + 25² = (25√5)²
h² + 625 = 3125
h² = 3125 - 625 = 2500
h = √(2500) = 50 ft
Answer: The height is 50 ft.
Besides posting the answers, I also included the solution to solve similar simplification of algebraic expressions questions. :)
See attached graphic.
area = .5 * side1 * sine (included angle) * side2
area = .5 * 433 * sine (37 degrees) * 520
area = .5 * 433 * 0.60182 * 520
area =
<span>
<span>
<span>
67,753 square feet
Source:
http://www.1728.org/triang.htm
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Answer:
The linear equation
and Erin can pick
apples per hour if she maintains a constant rate.
Step-by-step explanation:
To find the linear equation of the relationship from the graph.
We have to find the coordinates .
Let say
and ![(x_1,y_1)=(2,100)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%282%2C100%29)
Here
variable is the time in hour and
variable is the number of apples.
To find linear equation we have to find the slope (m) of the line by using point-slope form.
![m=\frac{y_1-y}{x_1-x}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_1-y%7D%7Bx_1-x%7D)
So,
![m=\frac{100-50}{2-1}=50](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B100-50%7D%7B2-1%7D%3D50)
The the linear equation will be.
![y=50(x)](https://tex.z-dn.net/?f=y%3D50%28x%29)
Number of apples Eric pick in an hour is
.
By plugging the value of
in the equation we can find the number of apples picked by Erin per hours subsequently
for second hour.
In each hour she picks
apples.
Linear equation is
and number of apples picked by Eric in an hour is
.
Answer:
841 rounded to the nearest hundred is 800 .