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Ainat [17]
2 years ago
9

Find the surface area of the triangular prism.

Mathematics
1 answer:
omeli [17]2 years ago
8 0

Answer:

96 ft²

Step-by-step explanation:

SA = 2bh/2 + Ph

SA = 2(4)(3)/2 + (3 + 4 + 5)(7)

SA = 12 + 84

SA = 96

Answer: 96 ft²

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T = 60

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A local hamburger shop sold a combined total of 617 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers
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Answer:

check the picture

Step-by-step explanation:

I hope you get it

5 0
3 years ago
(1+cos2x)/(1-cos2x) = cot^2x
sesenic [268]

We will turn the left side into the right side.

\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x

Use the identity:

\cos 2x = \cos^2 x - \sin^2 x

\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x

\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x

Now use the identity

\sin^2 x + \cos^2 x = 1 solved for sin^2 x and for cos^2 x.

\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x

\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x

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8 0
3 years ago
How to do simplest form
Annette [7]

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

enjoy yourday      hopethishelps

4 0
3 years ago
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birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i
vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

\tt \: \color{hotpink}simple \: interest \color{plum}=  \frac{principal \times rate \times time}{100}

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

= \tt \frac{500 \times 1.3 \times 4}{100}

= \tt \frac{2600}{100}

\color{plum} = \tt\bold{\$26}

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

=\tt 500 + 26

\color{plum} = \tt\bold{\$526}

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

\tt \: \color{hotpink}percentage \: of \:  change\color{plum} =  \frac{change}{original \: price}  \times 100

Which means :

Percentage of change in her savings account :

=\tt  \frac{26}{500} \times 100

=\tt  \frac{26 \times 100}{500}

=  \tt\frac{2600}{500}

\color{plum} = \bold{\tt\bold{5.2\%}}

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0
3 years ago
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