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2 years ago

Circumference of the circle R=9in

Mathematics

2 answers:

Verdich [7]2 years ago

7 0

Formula is 2piR
So 2x9x3.14=56.52

ira [324]2 years ago

7 0

Answer:

C = 56.52 Inch.

Step-by-step explanation:

<u>Formula:</u> C = 2πr

C = 2π (9)

C = 18π

C = 18 (3.14)

C = 56.52 Inches

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Vinny is interviewing for a job. he wants his take-home pay to be at least $42,000$42,000. what is the least salary he can earn

Elena-2011 [213]

56,000 would be the answer. If you divide the 42,000 by 3 then add your quotient to the original number you get his salary before tax.

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3 years ago

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Slope and y intercept

morpeh [17]

Answer:

$y=\frac{25}{1}x+75$

The beginning balance of Sophie's account is 75

Step-by-step explanation:

Using the slope intercept form aka $y=mx+b$

The slope of a line describes how steep a line is.

We can see that the y-axis goes up by 25.

25, 50, 75, 100, 125, 150 etc

<u>$ is how much you have in your bank account.</u>

<em>We can see that Sophie starts off with 75 dollars.</em>

In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.

<h3>how to find the slope</h3>

$slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

The first week (1, 100)

The second week (2,125)

$(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1} \\Up 25 (aka, 1 line), over 1(aka 2 lines)$

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3 years ago

The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

lyudmila [28]

Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20
Scale factor = 27

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3 years ago

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carmela cut a cake into 12 equal-sized pieces. She ate 2/12 of the cake and her brother ate 3/12 of the cake.What fraction of th

jok3333 [9.3K]

7/12.....................................

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3 years ago

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If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?

svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

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2 years ago