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3 years ago

What is the radius of a sphere that has a surface area of 12.56in2

Mathematics

2 answers:

puteri [66]3 years ago

8 0

The radius of a sphere that has a surface area of 12.56in2 would turn out to be:
4 $\pi$ r²

Fynjy0 [20]3 years ago

6 0

The radius would be 4 $\pi$ $x^{2}$

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Uog;;ooooooooooooooooooooooooooooooooooo ml

erik [133]

Answer:

Step-by-step explanation:

7 0

2 years ago

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About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about

In-s [12.5K]

Answer:

1 in 12

Step-by-step explanation:

Probability = success / (success + failure)

Odds = success / failure

The probability is 8%, which means in a group of 100 people, 8 will catch the flu and 92 will not. So the odds are 8/92, which reduces to 1/11.5, or approximately 1/12.

3 0

2 years ago

What is the Answer to this

Temka [501]

<h3>Answer: 18.8</h3>

========================================================

Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

FA = unknown horizontal leg = x
FG = vertical leg = 6.1
AG = hypotenuse = 11.2

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

-----------

Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

FG is a perpendicular bisector for AE
DG is a perpendicular bisector for EC

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

4 0

1 year ago

Read 2 more answers

The exact value of tan5pi/12 is

Tanya [424]

Answer:

Step-by-step explanation:

This is the sum identity for tangent(x + y), where x and y are angles measured in radians. The formula for tan(x + y) is $\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

The first order of business is to find which 2 angles, when expressed in terms of the denominator 12, add up to equal $\frac{5\pi}{12}$

We will use the first quadrant angles, and only the "important" ones:

$\frac{\pi}{4},\frac{\pi}{3},\frac{\pi}{6},\frac{\pi}{2},\pi$

When expressed in terms of the denominator of 12, these angles have the equivalent angles, in order from above:

$\frac{3\pi}{12},\frac{4\pi}{12},\frac{2\pi}{12},\frac{6\pi}{12},\frac{12\pi}{12}$

We need to find the 2 whose numerators add up to a 5. That would be:

$\frac{3\pi}{12} +\frac{2\pi}{12}=\frac{5\pi}{12}$

Remember that

$\frac{3\pi}{12}=\frac{\pi}{4}$ and $\frac{2\pi}{12}=\frac{\pi}{6}$ so

angle x is $\frac{\pi}{4}$ and angle y is $\frac{\pi}{6}$ , making our tangent sum:

$tan(\frac{\pi}{4}+\frac{\pi}{6})$

Filling that into our formula for the sum of tan(x + y):

$tan(\frac{\pi}{4}+\frac{\pi}{6})=\frac{tan(\frac{\pi}{4})+tan(\frac{\pi}{6}) }{1-tan(\frac{\pi}{4})tan(\frac{\pi}{6}) }$

It just so happens that

$tan(\frac{\pi}{4})=1$ and

$tan(\frac{\pi}{6})=\frac{\sqrt{3} }{3}$ so our formula then becomes

$tan(\frac{\pi}{4}+ \frac{\pi}{6})=\frac{1+\frac{\sqrt{3} }{3} }{1-(1)(\frac{\sqrt{3} }{3}) }$ which simplifies to

$\frac{\frac{3+\sqrt{3} }{3} }{\frac{3-\sqrt{3} }{3} }$ and then bring up the lower fraction and flip it to multiply giving you:

$tan(\frac{\pi}{4} +\frac{\pi}{6} )=\frac{3+\sqrt{3} }{3-\sqrt{3} }$

I have the feeling that you need to rationalize that denominator, and if you do that, the final answer will be:

$2+\sqrt{3}$

I know I kind of left you hanging at the very end with rationalizing, but there was so much already that went into this problem in such depth, that I didn't want to risk possibly confusing you even more than I may have already done so. Try and follow the best that you can.

3 0

2 years ago

Please help ill give whoever answers the best the brainliest answer :0

Yuri [45]

Answer:

The bottom graph

Step-by-step explanation:

It shows that the kid starts 4 meters away and slowly decreases the distance for 8 seconds, pauses for 3, and moves back for 4.

3 0

1 year ago

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