How do you find the circumference when you ONLY know the area?

Answers

Answer 1

Answer:
It's easy if you remember the formulas you learned for the area, diameter,
and circumference of a circle:

-- Area = (pi) (radius)²
-- Diameter = (2) (radius)
-- Circumference = (pi) (diameter)

You know the area. So let's use the first formula to find the circle's radius.

Area = (pi) (radius)²

Divide each side by (pi): Area/pi = (radius)²

Radius = √(area/pi)

Now use the second formula to find the circle's diameter:

Diameter = (2) (radius)

Diameter = 2 √(area/pi)

Now use the third formula to find the circle's circumference:

Circumference = (pi) (diameter)

Circumference = (pi) (2) √(area/pi)

With just a little tweak, that can be written slightly more simply:

Circumference = 2 √(pi x area)

See ? Just the three circle formulas,and a lot of massaging.

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A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is –16 ft/s2.
8 m15 mWhat is the perimeter?
PLEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!
Help me on this question please!An inequality is shown below:−np − 6 ≤ 3(c − 5)Which of the following solves for n?n ≥ − the quantity 3 times c minus 21 all over pn ≥ − the quantity 3 times c minus 9 all over pn ≤ − the quantity 3 times c minus 21 all over pn ≤ − the quantity 3 times c minus 9 all over p

what are the coordinates of R, the image p(2,3) under clockwise rotation 90 degrees about the origin?

Answers

Answer:

p' (3, - 2 )

Step-by-step explanation:

under a clockwise rotation of 90 about the origin

a point (x, y ) → (y, - x ) , then

p (2, 3 ) → p' (3, - 2 )

If the circumference of a circle is 94.25 inches then what is the radius?

Answers

Radius = 15in Given the diameter or radius of a circle, we can find thecircumference. We can also find the diameter (andradius) of a circle given the circumference. The formulas for diameter and circumference of a circle are listed below. We round to 3.14 in order to simplify ourcalculations.

To find the circumference you do 2 x pi x radius so...
to find the radius from given circumference, work backwards...
94.25 divided by pi = 30 (rounded)
30 divided by 2 = 15
The answer is 15 inches (rounded)
Hope this helps! :)

Simplify.5 – [–(–2)]

A.
–3

B.
3

C.
–7

D.
7

Answers

5- [-(-2)]
5-2
3

Final Answer: B:3

The answer is A. three because
[-(-2)] makes a positive 2 (because a negative times a negative equals a positive) then subtract the positive 2 from 5 equals positive 3.

During the year, FastDry Corporation has $ 340,000 in revenues, $ 155,000 in expenses, and $ 12,000 in dividend declarations and payments. Net income for the year was:

Answers

Answer:

$185,000

Step-by-step explanation:

We have been been given that during the year, Fast Dry Corporation has $ 340,000 in revenues, $ 155,000 in expenses, and $ 12,000 in dividend declarations and payments.

We will use following formula to solve our given problem.

$\text{Net income}=\text{Revenues}-\text{Expenses}$

$\text{Net income}=\$340,000-\$155,000$

$\text{Net income}=\$185,000$

Therefore, the net income for the year was $185,000.

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y equals negative 0.04x squared plus 8.3x plus 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth meter. (1 point)
208.02 m
416.03 m
0.52 m
208.19 m

Answers

ok

y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate

set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$
a=-0.04
b=8.3
c=4.3
x= $\frac{-8.3+/- \sqrt{8.3^(2)-4(-0.04)(8.3)} }{2(-0.04)}$
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m

Can someone help me? Plzzzzz :c I need it for tmw I'll be soo happy if someone help me

Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?

Answers

$x-cost\ of\ DVD\ny-cost\ of\ video\ game\n\n \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \n\n From\ first\ second:\n11x=220-11y\ \ \ \ |:11\nx=20-y\n\nSubstitute\ to\ first:\n3(20-y)+14y=203\n60-3y+14y=203\n-3y+14y=203-60\n11y=143\ \ \ \ |:11\ny=13\n\nx=20-13=7\n\n \left \{ {{y=13} \atop {x=7}} \right.$

3D+14G=203(11) use elimination 33D+154G=2233
11D+11G=220(-14) to cancel G -154D-154G=-3080

-121D=-847 divide by -121 on both sides
D=7 plug back into equation
11(7)+11G=220
77+11G=220 subtract 77 from both sides
11G=143 divide by 11 on both sides
G=13

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