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AfilCa [17]
3 years ago
5

Need help ASAP. WILL MARK BRAINLIEST.

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

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Please help!! I'll give 30 points and brainliest.
Valentin [98]

Step-by-step explanation:

3 + \frac{9}{4} = \frac{9}{x+4} \\  \\  \therefore \: \frac{3 \times 4 + 9}{4} = \frac{9}{x+4}  \\  \\ \therefore \: \frac{12 + 9}{4} = \frac{9}{x+4}  \\  \\ \therefore \: \frac{21}{4} = \frac{9}{x+4} \\  \\ \therefore \:21(x + 4) = 36 \\  \\ \therefore \:21x + 84 = 36\\  \\ \therefore \:21x = 36 - 84\\  \\ \therefore \:21x = - 48\\  \\  \therefore \:x =  \frac{-48}{21} \\  \\ \therefore \:x =  \frac{-16}{7} \\  \\  \huge \red{ \boxed{ \therefore \:x = - 2 \frac{2}{7} }}\\  \\

8 0
3 years ago
How do I solve <br><img src="https://tex.z-dn.net/?f=%20%20%5Csin%28%20a%20%29%20%20%3D%20.8325" id="TexFormula1" title=" \sin(
Serga [27]

Answer:

a=56.4\degree

Step-by-step explanation:

Let a be an acute angle.

To solve: \sin(a)=0.8325, we take the sine inverse of both sides to obtain:

\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)

Recall  composition property of a function and its inverse function.

f^{-1}(f(x))=x

We apply this property to the left hand side to obtain;

a=\sin^{-1}(0.8325)

We now use our scientific calculator to obtain;

a=56.3564115\degree

We round to the nearest tenth to obtain;

a=56.4\degree

4 0
3 years ago
Solve the system by elimination.(show your work)
PilotLPTM [1.2K]

Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation by elimination:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

-2 x - y + z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x - 3 y - 2 z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

6 0
3 years ago
Read 2 more answers
An inch is equal to about 2.54 centimeters. Write an expression who he estimates the number of centimeters in x inches. Then est
trasher [3.6K]

There are 30.48 centimeters in 12 inches.

Step-by-step explanation:

Given,

1 inch = 2.54 centimeters

For x inches;

x inches = 2.54*x centimeters

x inches = 2.54x centimeters

Number of centimeters in 12 inches

We will put x=12

12 inches = 2.54(12) centimeters

12 inches = 30.48 centimeters

There are 30.48 centimeters in 12 inches.

Keywords: multiplication

Learn more about multiplication at:

  • brainly.com/question/10744457
  • brainly.com/question/10754198

#LearnwithBrainly

5 0
3 years ago
A bag contains 15 15 red candies, 15 15 yellow candies, and 15 15 blue candies. what is the probability of randomly choosing two
Wittaler [7]
Based on my calculations, this would be 10%.
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3 years ago
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