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Alina [70]
3 years ago
5

A carpenter is installing a circular light fixture with a diameter of 6 inches in the ceiling. To do this, she must cut a square

hole in the ceiling just large enough so that it will be covered by the circular light fixture. • The carpenter uses the Pythagorean theorem to help her with her calculations for the dimensions of the square. What is an accurate estimate of the length of one side of the square hole to the nearest inch? • What is the approximate perimeter of the square hole that the carpenter needs to cut? Use words, numbers, and/or pictures to show your work.
Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

i really wish i could help but i have no idea );

Step-by-step explanation:

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ZAED = 137°. What is AEB?<br> A А.<br> D<br> UJ<br> с
mario62 [17]

Answer:

AEB =43

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

AED + AEB = 180

137+AEB = 180

AEB = 180-137

AEB =43

4 0
3 years ago
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What is the solution to this system of linear equations?
Luden [163]

Answer:

the answer is (5,-1)

Step-by-step explanation:

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4 0
3 years ago
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Find the missing side . round the the nearest tenth
lys-0071 [83]

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Sin=\frac{Opposite}{Hypotenuse} Cos=\frac{Adjacent}{Hypotenuse} Tan=\frac{Opposite}{Adjacent}

7) You have the opposite. You need the adjacent.

Tan=\frac{Opposite}{Adjacent}

Tan57=\frac{12}{x}

x=\frac{12}{Tan57}

x = 7.79289... =

<h2>7.8</h2><h2 />

8) You have the hypotenuse. You need the Opposite.

Sin=\frac{x}{Hypotenuse}

Sin37=\frac{x}{13}

x = sin37 × 13

x = 7.8235... =

<h2>7.8</h2><h2 />

9) You have the hypotenuse. You need the opposite.

Sin=\frac{x}{Hypotenuse}

Sin59=\frac{x}{11}

x = sin59 × 11

x = 9.4288.... =

<h2>9.4</h2><h2 />

10) You have the hypotenuse. You need the opposite.

Sin=\frac{x}{Hypotenuse}

Sin53=\frac{x}{11}

x = sin53 × 11

x = 8.7459.... =

<h2>8.7</h2>
7 0
3 years ago
The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of ma
Brilliant_brown [7]

The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.

If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:

nPr = n!{(n - r)!}.

In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.

Since the position is to be chosen in a specific order, we will follow permutation.

The number of positions to be chosen (r) = 2.

The number of members (n) = 16.

Thus, the number of ways is given as:

nPr = n!{(n - r)!},

or, 16P2 = 16!{(16 - 2)!},

or, 16P2 = 16!/14! = 15*16 = 240.

Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

Learn more about permutations at

brainly.com/question/4658834

#SPJ4

6 0
2 years ago
HELP ASAP
denis-greek [22]
A) I included a graph, look below.

B)

Input the y in x = y + 3.

x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0

Input that x value in y = -4x - 3

y = -4(0) - 3
y = 0 - 3
y = -3

(0, -3)

C)

Convert both equations to Standard Form.

x = y + 3
Subtract y from both sides.
x - y = 3

y = -4x - 3
Add 4x to both sides.
4x + y = -3

Add the equations together.

4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0

Input that into one of the original equations.

0 = y + 3
Subtract 3 from both sides.
-3 = y

(0, -3)

7 0
3 years ago
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