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navik [9.2K]
3 years ago
13

A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's radius?

Use 3.14 for ​.
Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

1 yard

Step-by-step explanation:

the formula for the circumference of a circle is 2 times pi times the radius of the circle. so to find out the radius you divide the circumference by 2 and then by pi.

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Kyle and Jorge play for a major league baseball team.
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15
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Most interesting way to write 6 billion is...? Why?
ycow [4]

Answer:

Its 6 bill because people think its flashy

Step-by-step explanation:

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2 years ago
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Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0
3 years ago
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The equation y=2.54x gives the length y in centimeters corresponding to a length x in inches. What is the length in centimeters
bija089 [108]
The equation given in the question is
y = 2.54 x
In this equation, x is in cm and y is in inches
Size of the ruler = 1 foot 
                          = 12 inches.
Putting the value of 12 inches in the equation, we get
y = 2.54x
   = 2.54 * 12
   = 30.48 cm
From the above deduction, we can conclude that the length of the ruler is 30.48 cm. I hope that this is answer that you were looking for and the answer has come to your desired help.
6 0
3 years ago
5.708 x 10v-8 in standard form<br><br> Calculator won’t answer it..
Troyanec [42]

Hi Sebastian0113,

Your Question:

5.708 x 10^-8 in standard form

Solution:

Decimal Form:

To solve this equation just divide 5.708 by 10 8 times.

= 5.708 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10

= 0.000000005708

5.708 x 10^-8 = 0.000000005708

Standard Form:

5.708 x 10^8

5.708 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

= 570,800,000

Answer:

Standard Form - 570,800,000

Decimal Form - 0.0000005708

8 0
3 years ago
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