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ZanzabumX [31]
3 years ago
5

The perimeter of the pentagon below is 62 units. Find the length of side VW.

Mathematics
1 answer:
Illusion [34]3 years ago
4 0
Vw = 18 units. look at pic below for details

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Can you please explain how to write the ratios for sin x and cos x? When angles are x, y, and z. The hypotenuse being 12 and is
Kamila [148]
Your triangle has acute angles X and Y, and right angle Z.

For an acute angle A in a right triangle:

The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp

The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp

The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12
7 0
3 years ago
A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
maw [93]

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

5 0
3 years ago
15/5 as a mixed number
Ivanshal [37]

Answer:

the answer is 3

Step-by-step explanation:

15 divide by 5 equal 3

bOoM mAgiC

6 0
3 years ago
Read 2 more answers
Volume &amp; surface! May I please have help
Ludmilka [50]

Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

=(\frac{20}{2} )^{2} \pi× 2 + 20\pi × 25

=2 × \pi × 10^{2} + 2 × \pi × 10 × 25

3 0
2 years ago
What is 0.05 10 times as much as
Varvara68 [4.7K]
0.005
Multiplying by ten moves the decimal point over one.
6 0
2 years ago
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