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forsale [732]
3 years ago
7

Find c. Determine it from the choices below.

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

12 centimeters

Step-by-step explanation:

The triangle is half of an equilateral one. So the hypotenuse is double the minor leg

12 centimetres

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Carlos is filling a spherical balloon with water. if he increases the volume of the balloon from 4,188.79 cubic centimeters to 1
Harrizon [31]

We know that the volume of a sphere of radius r is given by

V=\frac{4}{3}\pi r^3

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.

Substituting the value of volume in the above equation, we get

4,188.79=\frac{4}{3}\pi r^3\\
\\
4\pi r^3=4,188.79 \times 3\\
\\
r^3=\frac{4188.79 \times 3}{4\pi}\\
\\
r^3=1000\\
\\
r=10

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

14137.167 =\frac{4}{3}\pi r^3\\
\\
4\pi r^3=14137.167  \times 3\\
\\
r^3=\frac{14137.167\times 3}{4\pi}\\
\\
r^3=3375\\
\\
r=15

Now, let us find the surface areas for these two radii.

For r=10

Surface area is given by

S=4\pi r^2\\
\\
S=4\times 3.14 \times (10)^2\\
\\
S=1256 \text{ square centimeters}

Similarly, for

r=15\\
\\
S=4\times 3.14\times (15)^2\\
\\
S=2826 \text{ square centimeters}

Therefore, the increase in the surface area is given by

\Delta S= 2826-1256= 1570 \text{ square centimeters}

Hence, the average rate at which the surface area is changing is given by

\frac{1570}{12}=130.8

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.

7 0
4 years ago
Fill in the blanks to complete the following statements about the line that can be described by the equation y= -3x - 7
Vadim26 [7]

Answer:

the answer is the initial value (y - coordinate of the y- intercept

6 0
3 years ago
I need this problem worked out. I already know the answer just not the work.
larisa [96]

Answer

n = 30

Explanation

To solve for n, you have to isolate it by 'getting rid' of the 18, 2, and negative sign.

You 'remove' these numbers in backward PEMDAS.

So to 'remove' the 18, you subtract both sides by 18.

3-18 = -15

-n/2+18-18 = -n/2

So now you are left with -15 = -n/2.

To 'get rid' of the 2, you multiply each side by 2.

-15×2 = -30

-n/2×2 = -n

And now you have -30 = -n.

To 'get rid' of the negative sign, you multiply both sides by -1.

-30×-1 = 30

-n×-1 = n

So you get 30 = n or n = 30.

If you still have questions I'll answer them in the comments (under this question).

6 0
3 years ago
Evaluate 8j-k+14when j=0.25 and k =1
nevsk [136]

Answer:

8j-k+14

8(0.25)-1+14=2-1+14=15

Step-by-step explanation:

5 0
3 years ago
find the balance of an account that started with $450 at 6% simple interest for 2 years show work plz
Mashcka [7]

Answer:

4000 rounded about

Step-by-step explanation:


3 0
3 years ago
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