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First you would find the area of the triangle which would be 84×92 then divide that answer by 2.
Then you will find the area of the circle using the given radius 20.5.
Lets work it out.
84×92=7728
7728÷2=3864 ft²
3864 ft² is the area of the backyard including the pool.
A=pi(20.5)²
A=1320.25 ft²
1320.25 ft² is the area of the pool.
Now we have to subtract to get the area of the backyard without the pool.
3864-1320.25=2543.75 ft²
2543.75 ft² is your answer.
Hope This Helps and God Bless!
Answer:
1. Scatter plots are used to observe relationships between variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.
2. A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph
Step-by-step explanation:
I am leaving the last two for someone else to have a chance to answer.
I hope my answers helped.
Answer:
cubic units
Step-by-step explanation:
We are given that a region bounded by a curves 
x=4 and about y=5
We have to find the value of volume of the resulting solid
To find the volume of resulting solid we are using cylinder method
Substitute the values of x then we get
y-7=2 and y-7=-2
y=7+2=9 and y=-2+7=5
Radius of cylinder =r=y-5
and height =h=
Using cylinder method and integrate along y -axis from y=5 to y=9
Volume =
volume=
Volume =![2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7By%5E4%7D%7B4%7D%2B19%5Cfrac%7By%5E3%7D%7B3%7D-115%5Cfrac%7By%5E2%7D%7B2%7D%2B225y%5D%5E9_5)
Volume =![2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7B6561%7D%7B4%7D%2B%5Cfrac%7B625%7D%7B4%7D%2B19%28%5Cfrac%7B729-125%7D%7B3%7D%29-115%28%5Cfrac%7B81-25%7D%7B2%7D%29%2B225%289-5%29%5D)
Volume=
Volume =
Volume =
Hence, volume of resulting solid = cubic units
Answer: here
Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
hope it helps
