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SOVA2 [1]
3 years ago
14

The radius of the circle - shaped poster is 9 inches. What is the approximate circumference?

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer: 56.55inch

Step-by-step explanation:

Circumference formula: C = 2\pi r

C = 2(3.1416)(9inch)

C= 56.55inch

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Is b = 15 a solution to the equation 4b - 20 = 40?
irina [24]

Answer:

yes

Step-by-step explanation:

4 x 15 - 20 = 40

60 - 20 = 40

5 0
3 years ago
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What is the percent of 13/40
Stells [14]

The answer is 32.5%

and if you need it in decimal form, it would be,

0.325

6 0
3 years ago
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A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
The blueprint for the Daly Daly​'s living room has a scale of 2 inches=3 feet. The family wants to use a scale of 1 inch equals
denpristay [2]

Answer:

5X ft

Step-by-step explanation:

Given the new scale of 1 inch equals = 5 feet

let X denote the width of the living room on the blueprint.

To find the width of the living room:

Width=Blueprint \ Dimensions \times scale\\\\=X times 5ft\\\\=5X \ ft

Hence the living room has a width of 5X ft

7 0
3 years ago
I really need help guys im begging
soldier1979 [14.2K]
Havent done this in years but i think it would just be 12
3 0
3 years ago
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