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3 years ago

13

The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diam

eter?

2 answers:

nata0808 [166]3 years ago

6 0

122278272662222211111111

Liono4ka [1.6K]3 years ago

5 0

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

$\frac{\text{C}}{\text{D}}=\pi$

Since, diameter 'D' = 2r,

$\frac{\text{C}}{\text{2r}}=\pi$

$\frac{\text{C}}{2\times 6}=\pi$

$\frac{\text{C}}{12}=\pi$

Therefore, equation given in Option (B) will be the correct expression.

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Effective Rate find the effective rate of interest corresponding to a nominal rate of 7.5% per year compounded.

Jlenok [28]

Answer:

(A) 7.5 %

(B) 3.75 %

(C) 2.5%

(D) 0.625 %

Step-by-step explanation:

We have given effective rate of interest r = 7.5%

(a) Annual rate of interest will be equal to 7.5 %

(B) As we know that 1 year = 12 months

And interest is compounded semiannually

1 semiannual = 6 months

So semiannual rate of interest will be equal to $\frac{7.5}{2}=3.75$ %

(c) 1 quarter = 4 month

So number of period in an year = 3

So rate of interest quarterly $=\frac{7.5}{3}=2.5$ %

(D) Amount when amount is compounded monthly '

So number of period in an year = 12

So rate of interest $=\frac{7.5}{12}=0.625$ %

3 0

3 years ago

Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is

Dovator [93]

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

$n_1 =6miles$

$r_1 = 2mph$

Casey

$c_1 = 8miles$

$r_2 =1mph$

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At $n_1 =6miles$ and $c_1 = 8miles$

The distance between them is:

$d_1 = \sqrt{n_1^2 + c_1^2}$

$d_1 = \sqrt{6^2 + 8^2}$

$d_1 = \sqrt{100}$

$d_1 = 10miles$

After 1 hour, their new position is:

New = Old + Rate * Time

$n_2 = n_1 + r_1 * 1$

$n_2 = 6 + 2 * 1 = 8$

And:

$c_2 = c_1 + r_2 * 1$

$c_2 = 8 + 1 * 1 = 9$

So, the distance between them is now:

$d_2 = \sqrt{n_2^2 + c_2^2}$

$d_2 = \sqrt{8^2 + 9^2}$

$d_2 = \sqrt{145}$

$d_2 = 12.04$

The rate of change is:

$\triangle d = d_2 -d_1$

$\triangle d = 12.04 -10$

$\triangle d = 2.04$

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3 years ago

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disa [49]

Answer:

-2,3

Step-by-step explanation:

7 0

3 years ago

7th grade math help me please :(

coldgirl [10]

Answer:

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Step-by-step explanation:

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4 0

2 years ago

The sum of the two digits of a number is 16. The number formed by reversing the digits is 18 more than the original number. Dete

nydimaria [60]

9u-9t=18

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5 0

3 years ago