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timofeeve [1]
3 years ago
9

Please help As Soon As Possible

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

9.0 ft

Step-by-step explanation:

Let the distance from the bottom of the board to the edge of the wall be represented as "x"

Angle measure = θ = 53.13°

Hypotenuse = 15 ft

Adjacent side = x ft

The trigonometric ratio we would apply would be CAH:

Thus,

Cosine θ = Adjacent/Hypotenuse

Plug in the values

Cos 53.13° = x/15

Multiply both sides by 15

15 * Cos 53.13 = x

9.00002143 = x

x ≈ 9.0 ft (nearest tenth)

Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft

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x=0.4

Step-by-step explanation:

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3 years ago
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What is the volume of a sphere with a surface area of 25pi
Natali5045456 [20]

Answer:

(125/6)π units³

Step-by-step explanation:

The formula for the surface area of a sphere is A = 4πr².  Solving this for r² yields:

                     A

            r² = ------

                     4π

and in this case r² is:

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            r² = ---------, or 25/4 units²

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Thus, the radius, r, is 5/2 units.

The volume of a sphere of radius r is V = (4/3)πr³ units³

Here, that volume is V = (4/3)π(5/2)³ units³

                                         4π     125 units³

                                   =   ------ · ------------------ = (125/6)π units³

                                           3            8

7 0
3 years ago
You make a table to use as a quick reference guide . y = - 180 - 9(x) . Use the table tool to answer the question:
Flauer [41]

The value of y when x equals -15 in the equation (y = - 180 - 9(x)) is -45.

<h3>Copy and complete the table for x and y?</h3>

In a given function y = f(x) = bx - c, the value of y can be determined, if the value of x is known. All we have to do is to substitute the known value for x into the equation in order to determine the value of y.

From the given information:

y = - 180 - 9(x)

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y = -180 - 9(-15)

y = -180 + 135

y = -45

Learn more about copy and complete the table here:

brainly.com/question/16764478

#SPJ1

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2 years ago
Tell whether the sequence is arthmetic. Common difference (-3,-7,-10,-14)
Burka [1]

Answer:

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Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference between consecutive terms.

- 7 - (- 3) = - 7 + 3 = - 4

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The differences are not common , hence not an arithmetic sequence

7 0
3 years ago
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