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WARRIOR [948]
2 years ago
6

In a 45-45-90 triangle, the hypotenuse is 7, find both the legs

Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

Answer: If the hypotenuse is 7, the other 2 sides are \sqrt{24.5} 0r about = 4.95

Step-by-step explanation:  in a 45-45-90 triangle, the legs are equal.

a² + b² = c² .   2(a²) = 49  a² = 49/2

So find the square root of 24.5

\sqrt{24.5}   =4.949747468 .round to 4.95

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3 years ago
Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3
steposvetlana [31]

Answer: A=2144\ cm^2

Step-by-step explanation:

For this exercise you need  to use the following formula for calculate the area of regular polygon:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where is "s" the length of any side, "n" is the number of sides.

Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":

s=35.3cm\\n=5

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A=\frac{(35.3cm)^2(5)}{4tan(\frac{180}{5})}\\\\A=2144\ cm^2

8 0
2 years ago
PLS HELP IM DOING A TIMED QUIZ
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Answer:

30.3

Step-by-step explanation:

24 + (12.56637/2)

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30.283185

30.3 rounded to the nearest tenth

6 0
3 years ago
1200$ invested at a rate of 3.5% compounded quarterly; 4 years
Tju [1.3M]

Step-by-step explanation:

<em>1st year</em>:

(1200 x 3.5 x 1) ÷ 100 = $42

<em>2nd year:</em>

(1242 x 3.5 x 1) ÷ 100= $43.47

<em>3rd year:</em>

(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45

<em>4th year:</em>

(1330.47 x 3.5 x 1) ÷ 100= $46.56

Compound interest:

$(42 + 43.47 + 45 + 46.56)

=<u>$ 177.03</u>

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2 years ago
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