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Sever21 [200]
3 years ago
8

What is the total area of the shape below

Mathematics
2 answers:
brilliants [131]3 years ago
6 0

Answer:

480 ft

Step-by-step explanation:

Nadya [2.5K]3 years ago
5 0
Answer:

480ft²

explanation:

first of all, find the area of the rectangle as it is the easiest.
So, do A = L x W.

A = 24 x 15
= 360ft²

Then find the area of half of the triangle.
So, do A = 1/2 x b x h

The length of the base of the full triangle (aka top of the rectangle) is 24ft so since we are finding the area of half of the triangle all you have to do it half 24 (12). (also 1/2 is the same as 0.5)

So the equation for that would be
A = 1/2 x b x h
= 1/2 x 12 x 10
= 1/2 x 120
= 60

So now, to find the area of the whole triangle, times 60 by 2 (as both of the halves are the same) which gives you 120.

Finally, to find the area of the WHOLE shape, do 360ft² + 120ft² which gives you 480ft².


Hope this helps :)
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3 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
What is the area of the beach ball with a diameter of 14 in. ?
Juliette [100K]

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • Diameter (d) = 14 in.
<h3><u>To </u><u>Find</u>;</h3>
  • Area of beach ball = ?
<h3><u>Formula</u>;</h3>
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Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

6 0
2 years ago
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Rudiy27
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5 0
3 years ago
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Carter invested $16,000 in an account paying an interest rate of 5.6% compounded monthly. Assuming no deposits or withdrawals ar
jenyasd209 [6]

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

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Y = 11

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Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

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