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shtirl [24]
3 years ago
11

What's the circumference of a

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

56.55 inches

Step-by-step explanation:

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A professional quarterback passed for 4,383 yards in 16 games in one football season. He wants to know his passing yardage per g
Oksanka [162]

The answer would be 273.9375, or 274 yards a game rounding up.

5 0
2 years ago
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
faust18 [17]

Answer:

Volume = \frac{384}{7}\pi

Step-by-step explanation:

Given (Missing Information):

y = x^\frac{3}{2}; y = 8; x=0

Required

Determine the volume

Using Shell Method:

V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy

First solve for a and b.

y = x^\frac{3}{2} and y = 8

Substitute 8 for y

8 = x^\frac{3}{2}

Take 2/3 root of both sides

8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}

8^\frac{2}{3} = x

2^{3*\frac{2}{3}} = x

2^2 = x

4 =x

x = 4

This implies that:

a = 4

For x=0

This implies that:

b=0

So, we have:

V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy

V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy

The volume of the solid becomes:

V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx

Open bracket

V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx

V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx

V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx

Integrate

V = 2\pi  * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0

V = 2\pi  * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0

V = 2\pi  * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0

V = 2\pi  * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0

Substitute 4 and 0 for x

V = 2\pi  * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])

V = 2\pi  * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])

V = 2\pi  * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}]

V = 2\pi  * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}]

V = 2\pi  * [{64 - \frac{2}{7}*2^7]

V = 2\pi  * [{64 - \frac{2}{7}*128]

V = 2\pi  * [{64 - \frac{2*128}{7}]

V = 2\pi  * [{64 - \frac{256}{7}]

Take LCM

V = 2\pi  * [\frac{64*7-256}{7}]

V = 2\pi  * [\frac{448-256}{7}]

V = 2\pi  * [\frac{192}{7}]

V = [\frac{2\pi  * 192}{7}]

V = \frac{\pi  * 384}{7}

V = \frac{384}{7}\pi

Hence, the required volume is:

Volume = \frac{384}{7}\pi

3 0
2 years ago
I need help with this please, could you explain so I can understand better please
MA_775_DIABLO [31]

Answer:

<3 and <6 is Alternate interior angles.

<4 and <5 is Alternate interior angles.

<2 and <7 is Alternate exterior angles.

<3 and <7 is Corresponding angles.

Hope this helps. :)

8 0
3 years ago
What is the value of x for which<br>3/4=x/12​
mamaluj [8]

Answer:

the value of x will be 9

x = 9

4 0
2 years ago
13/19x=130 how do I solve?
Taya2010 [7]
Divide both numbers by 13/90

13/90x = 130
÷13/90   ÷13/90

x= 900
8 0
3 years ago
Read 2 more answers
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