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k0ka [10]
3 years ago
7

The area of the surface of a pool table is 32 sq ft. The perimeter is 24 feet. What are the dimensions of the pool table. explai

n how you got the answer
Mathematics
1 answer:
dedylja [7]3 years ago
4 0
The length of the pool table is 4 and the width of the table is 8.
W=4
L=8
W times L=32 or 4 times 8=32
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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Sladkaya [172]
3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse. 

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees. 

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem. 

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = \sqrt{27}

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/\sqrt{27}
\sqrt{27}Tan(31) = MJ
3.122 = MJ
7 0
3 years ago
Read 2 more answers
Given f(x) = -3x + 21, find x when f(x) = 6.
Ainat [17]

Answer:

x = 5

Step-by-step explanation:

Given

f(x) = - 3x + 21 and f(x) = 6, then equating gives

- 3x + 21 = 6 ( subtract 21 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

3 0
3 years ago
If f(x)=1/x and g(x)=2x+1, find f(g(1)) and g(f(2)).
mel-nik [20]

Answer:

f(g(1))=1/3

g(f(2))=1

Step-by-step explanation:

For f(g(1)) plug the 1 in the x in thefunction of g, and plug g in the x in the function f.

Do the same thing for g(f(2)) using the number 2

6 0
3 years ago
ANSWER RIGHT FOR BRAINLIEST PLEASE equation of the line that passes through the point (–2, 3) and has a slope of 1/3
morpeh [17]

Answer:

y = \frac{1}{3} x + \frac{11}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = \frac{1}{3}, thus

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (- 2, 3) into the partial equation

3 = - \frac{2}{3} + c ⇒ c = 3 + \frac{2}{3} = \frac{11}{3}

y = \frac{1}{3} x + \frac{11}{3} ← equation of line

8 0
2 years ago
There are 65 campers at fun camp. only 53 campers brought sleeping bags. how many campers did not bring sleeping bags?
elena-s [515]
So you have to just subtract, 65-53=12 that didn't bring sleeping bags
8 0
3 years ago
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