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Lapatulllka [165]
3 years ago
9

what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

Mathematics
1 answer:
givi [52]3 years ago
6 0
Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00  (nearest hundredth)  

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What is the exact volume of a sphere with a diameter of 36 in.?
Contact [7]
The volume of a sphere:
V=\frac{4}{3} \pi r^3
r - the radius

The diameter is twice the radius.
d=36 \ in \\
r=\frac{36}{2} \ in = 18 \ in \\ \\
V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]

The exact volume of the sphere is 7776π in³.
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3 years ago
13, 13, 85, 50, 79, 83<br><br> Mean<br><br> Median<br><br> Mode<br><br> Range
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Answer:

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Median-64.5

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Step-by-step explanation:

6 0
2 years ago
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The floor of a room is being covered with tile. An area one half
tangare [24]

Answer:

Only the floor area \frac{3}{8} has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

A = lw

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

l' = \frac{1}{2}l

w' = \frac{3}{4}w

So:

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Finally:

A' = \frac{3}{8}A


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3 years ago
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Answer:

B

Step-by-step explanation:

Just ask!

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2 years ago
If sin θ = 0.55 what is the value of cos θ? How do I solve this?
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4 0
3 years ago
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