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postnew [5]
2 years ago
10

How do you solve for area and perimeter

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0
Find the measure of the third angle

Use your trig functions the get the sides

Then calculate area and perimeter
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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the
jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0
3 years ago
Solve the algebraic equation: 2x + 4 = -16​
lora16 [44]

Answer:

-10

Step-by-step explanation:

subtract 4 from both sides

divide by 2

5 0
3 years ago
Read 2 more answers
Which statement describes the behavior of the function f(x)=3x/4-x?
Oksana_A [137]

Answer:

The  graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

f(x)=\frac{3x}{4-x}

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}

Taking x common from the denominator.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}

Cancel out common factor x.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}

Apply limits.

\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}

\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}

\lim_{x\rightarrow \infty}f(x)=-3

Therefore the  graph approaches –3 as x approaches infinity.

7 0
3 years ago
Read 2 more answers
A cuboid is 4cm long, 7cm wide and 10cm high..A similar cuboid is 25cm high,calculate its length and width.....
coldgirl [10]
The dimensions of the larger cuboid are 25/10 = 2.5 times those of the smaller one. {length, width} = 2.5*{4 cm, 7 cm) = {10 cm, 17.5 cm}
5 0
3 years ago
3х3+ 12х2+ 36х<br> Factor the polynomial
KATRIN_1 [288]
If the x’s between are multiplication and the last ones the letter x then the answer is 9(17 + 4x)
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