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shepuryov [24]
3 years ago
5

Find the height of the triangle. hypotenuse=10, right angle, opposite angle=20º

Mathematics
1 answer:
yan [13]3 years ago
7 0

here if 20 degree angle is in base line then we would take sin of 20

because sin theta = height / hupotaneous

sin 20 = height/ 10

height = 10 times sin 20 = 10 times *0.34 = 3.4

But if angle 20 in on the line making height of the triangle then the base line of angle 20 degree would be the height of triangle )

we would take : cos 20 =base / hypotaneous

cos 20 = base / hypotaneous

cos 20 = base / 10

base = 10 cos 20 = 10 * 0.93 = 9.3

As per the given question if 20 degree angle lie on horizontal line answer should be 3.4

OR if angle 20 degree lie on vertical line then answer is 9.3

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The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as
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Nice

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5 0
3 years ago
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
2 years ago
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ElenaW [278]
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first convert -14 1/5 to decimals  =  -14.2

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-14.4 , -14 1/5 , -14.

8 0
3 years ago
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Answer:

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