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Julli [10]
3 years ago
8

Find the value of x and y

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

x = 63 , y = 27

Step-by-step explanation:

x+ 117 make a straight line so they equal 180 degrees.

x+117 = 180

Subtract 117 from each side

x+117-117= 180-117

x =63

x and y are complementary, which means they add to 90

x+y = 90

63+y = 90

Subtract 63 from each side

63-63+y = 90-63

y = 27

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The number of skiers, k, that visited a mountain one day was
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Answer:

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extra:

k = -8 + 11b

or

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3 years ago
If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?
Ira Lisetskai [31]

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

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D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

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6 0
3 years ago
What is the domain of y=4sin(x)?
stealth61 [152]

Answer:

( − ∞ , ∞ )  { x | x ∈ R }

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4 0
3 years ago
What is the value of 7 to the 4th power
zhenek [66]

Answer:

The value is 2401

Step-by-step explanation:

First we need to understand what's means 7 to the 4th power, or 7^4.

7 is the power base, the power base is the number that we are going to repeat the number of times the exponent says.

4 is the exponent, which will tell us how many times to multiply 7.

So , then we would have

1)                7 x 7 x 7 x 7

2)                  49 x 7 x 7

3)                     343 x 7

4)      finally       2401

3 0
3 years ago
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