The area ratio is the square of the linear dimension ratio. So if the merry-go-round base is circular, the area contains the square of the radius. If a polygon, the base can be divided into triangles. The area of each triangle involves the product of the base length and the height, so since both have the same change of length, the product will square the scaling ratio.
Let’s say the ratio of corresponding lengths is x:1 then the ratio of the base areas is x²:1.
The question doesn’t provide any figures.
Let’s put some in as an example. Let the actual merry-go-round be circular with a diameter of 20 feet, while the model is one foot in diameter. So the ratio of the actual ride and it’s model is 20:1. The area of the base of the actual ride is 100π sq ft. The area of the base of the model is π/4 sq ft. We expect the ratio of these areas to be 20²=400. 100π/(π/4)=400.
Find the volume of the first figure, then find the volume of the second figure, then add them together.
V=lwh
V(1)=(15)(12)(6)
= 1,080in^3
V(2)=(12)(6)(6)
= 432in^3
--------------------------------------------
1,080+432= 1,512 in^3
--------------------------------------------
Your answer should be 1,512
F = 250
d = 50
workdone=Fd*cos(
)
=250*50*cos(
)
=12500*cos()=12378.35 joule
Equation for Liz:
L = 8n
Equation for Andy:
A = 8n + 35
Step-by-step explanation:
Let the no. of necklace be 'n'
Cost per necklace= $8
Equation for Liz:
L = 8n
Because Liz sells only necklace for $8 each
Equation for Andy:
A = 8n + 35
Because Andy sells each necklace for $8 and she sold the bracelets for $35
We need to find the principal amount on an interest rate of 13% where the end of year payment is $5043.71.
The original amount is 
.
i = Interest rate = 13%
n = Compounding period = 4 years
E = End of year payment = $5043.71
The required formula is
![P=\dfrac{E[1-(1+i)^{-n}]}{i}\\\Rightarrow P=\dfrac{5043.71[1-(1+0.13)^{-4}]}{0.13}\\\Rightarrow P=\$15002.37](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BE%5B1-%281%2Bi%29%5E%7B-n%7D%5D%7D%7Bi%7D%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B5043.71%5B1-%281%2B0.13%29%5E%7B-4%7D%5D%7D%7B0.13%7D%5C%5C%5CRightarrow%20P%3D%5C%2415002.37)
The original principal amount was .
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