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Keith_Richards [23]
3 years ago
13

Find x and y. Please write your answer in simplified radical form.

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = \frac{opposite}{hypotenuse} = \frac{6}{y}

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = \frac{6}{sin30} = \frac{6}{\frac{1}{2} } = 12

---------------------------------------------------------------------------------------

cos30° = \frac{adjacent}{hypotenuse} = \frac{x}{y}

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × \frac{\sqrt{3} }{2} = 6\sqrt{3}

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Kaylis [27]
He would probably have to walk the dog seven more times
5 0
3 years ago
the volume of a pencil case is 20 in3 the pencil case is a rectangular prism with a hight of 8 in and a lenght of 5 in
nydimaria [60]
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20 = 5*w*8
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8 0
3 years ago
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
3 years ago
Read 2 more answers
How do you do this. please help
puteri [66]
The solution is when they intersect.  So to find the answer, set each equation equal to each and solve:

-2x + 3 = x^2 -6x + 3
3 = x^2 -4x + 3
0 = x^2 -4x
0 = x(x-4)

So the solutions are x = 0 and x = 4

Plug in these values into the easier equation to solve for the y's

x = 0 into -2x + 3 gives y = 3
So one solution is (0, 3)

x = 4 into -2x + 3 gives y = -5
So the second solution is (4, -5)
3 0
3 years ago
What is the combined cost of of the sweatshirt and hat shown
irina1246 [14]

Answer:

$44.89

Step-by-step explanation:

Add 25.15 + 19.74 = 44.89

7 0
3 years ago
Read 2 more answers
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