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prohojiy [21]
2 years ago
10

PLEASE HELP ASAP! NO SCAMS ALLOWED!

Mathematics
1 answer:
Kitty [74]2 years ago
6 0

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

V=\pi\int\limits^5_3 {3^2}-0^2 \, dx  and

V-\pi\int\limits^5_3 {9} \, dx  and integrating:

V=\pi(9x\left \} {{5} \atop 3}} \right. and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

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MAVERICK [17]
1 gallon=4 quarts=8 pints
1quart=2pints
2 gallons=4*2=8quarts=16pints

2 containers are 1 quart
8-2=6 quarts left

6quars=xpints
12pint=xpints

12 pint containers
3 0
3 years ago
Read 2 more answers
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
3 years ago
AB has endpoints at (-4,5) and (4,-3) using the midpoint formula what is the midpoint segment
Mamont248 [21]

Answer:

(0,1)

Step-by-step explanation:

5 0
3 years ago
Here are two number machines, A and B.
Troyanec [42]

Answer:

Step-by-step explanation:

We can write them both like functions like this

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

we replace with the functions

we solve for x

The output that makes the out put of A 3 times teh output of B is

7 0
2 years ago
Find the volume of a cube with edges measuring 9ce
IceJOKER [234]

Answer:

<h2>V = 729</h2>

Step-by-step explanation:

The formula of a volume of a cube with an edge <em>a</em>

<h3>V = a³</h3>

We have <em>a </em>=<em> </em>9 . Substitute:

<h3>V = 9³ = 9 · 9 · 9 = 729</h3>
6 0
3 years ago
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