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vodka [1.7K]
3 years ago
7

Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle's sides relative

to that acute angle.
Here are the approximate ratios for angle measures 55\degree55°55, degree, 65\degree65°65, degree, and 75\degree75°75, degree.
Angle 55\degree55°55, degree 65\degree65°65, degree 75\degree75°75, degree
\dfrac{\text{adjacent leg length}}{\text{hypotenuse length}}
hypotenuse length
adjacent leg length
​
start fraction, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction 0.570.570, point, 57 0.420.420, point, 42 0.260.260, point, 26
\dfrac{\text{opposite leg length}}{\text{hypotenuse length}}
hypotenuse length
opposite leg length
​
start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction 0.820.820, point, 82 0.910.910, point, 91 0.970.970, point, 97
\dfrac{\text{opposite leg length}}{\text{adjacent leg length}}
adjacent leg length
opposite leg length
​
start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, end fraction 1.431.431, point, 43 2.142.142, point, 14 3.733.733, point, 73
Use the table to approximate GHGHG, H in the triangle below.


Choose 1 answer:
Choose 1 answer:
Mathematics
1 answer:
Ratling [72]3 years ago
6 1

Answer:

Step-by-step explanation:

ok ok that is ong scrip bye

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8. For circle A, the circumference is 31.4 ft. What is the area? Use 3.14 for pi
telo118 [61]

Answer:

\huge\boxed{\sf A = 78.5\ ft\²}

Step-by-step explanation:

Circumference = C = 31.4 ft

We know that,

<h3>C = 2πr</h3>

Where, r is the radius

31.4 = 2(3.14)r

31.4 = 6.28(r)

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<h3>r = 5 ft.</h3>

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<h3><u>Finding area:</u></h3>

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<h3>A = 78.5 ft²</h3>

\rule[225]{225}{2}

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

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2 years ago
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Vitek1552 [10]

Answer:

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Step-by-step explanation:

A calculator works well for this.

_____

None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.

1 to any power is still 1, so the factors (1^n) can be ignored.

After you ignore all of the things that can be ignored, your problem simplifies to ...

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The rules of exponents applicable to this are ...

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Then your product simplifies to ...

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  = 2^(2+6)

  = 2^8 = 256

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