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son4ous [18]
3 years ago
6

How do i find the length of side labeled y?

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

y = 3

Step-by-step explanation:

The side labeled 'y' is the 'adjacent side' of the 30° angle.  The hypotenuse of this right triangle is 2√3.

The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:

                 adjacent side          y

cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.

                        2√3                2√3

Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3

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Answer:

Area of triangle = 1/2 base x height

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Area = 1/2 bh

Step-by-step explanation:

3 0
3 years ago
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Ahat [919]

Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0
3 years ago
What is greater 3.6 or 0.94
nasty-shy [4]
3.6 > 0.94 Hope this helps.
6 0
4 years ago
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Find the area. The figure is not drawn to scale.
jeka94

Answer:

627,264 square inches

Step-by-step explanation:

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5 0
3 years ago
I need help pls if u are good at math stuff
Ulleksa [173]

Answer:

My answer came out to -22.

Step-by-step explanation:

Start multiplying from left to right:

Two negatives multiplied are positive:

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A negative and a positive multiplied equal a negative:

4.4·(-1)=-4.4

-4.4·5=-22

3 0
3 years ago
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