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g100num [7]
3 years ago
8

The base of a triangle is four times its height.If the area of the triangle is 242 square millimeters,find its height

Mathematics
1 answer:
makkiz [27]3 years ago
6 0
Http://www.clayton.k12.mo.us/cms/lib/MO01000419/Centricity/Domain/892/area%20of%20parallelograms%20a...
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Answer:

V=18.2cm^3

Step-by-step explanation:

The volume of the pyramid is given by:

V=\frac{A_{b}h}{3}

where A_{b} is the area of the base and h is the height.

We know that the height is:

h=13cm

Thus we need to find the area of the square at the base.

The perimeter of the square is:

p=8.2cm

this means that the length of the sides of the square is :

l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm

Now we can find the area of the base which the area of the square:

A_{b}=l^2\\A_b=(2.05cm)^2\\A_b=4.2025cm^2

and finally we find the volume:

V=\frac{A_{b}h}{3}

V=\frac{(4.2025cm^2)(13cm)}{3}\\ \\V=\frac{54.6325cm^3}{3}\\ \\V=18.2108cm^3

Which rounded to the nearest tenth of a cubic centimeter is: V=18.2cm^3

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2 years ago
[BRAINLIEST] a. Nick deposits money in a Certificate of Deposit account (CD). The balance (in dollars) in his account t years af
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Answer:

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From the point of view of the context, a CD account grows in value over time so with a deposit of $400 the value will never drop to $399.

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This exponential function f(x) = 3^x has a positive base (3) which is larger than 1.  Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

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Step-by-step explanation:

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Which ratio is equivalent to 2:8
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