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Lady_Fox [76]
3 years ago
14

At the beginning of the fall, the water level of a lake is 12

Mathematics
1 answer:
spayn [35]3 years ago
6 0

x = normal water level

x - 12 - 13 = x - 25

so it is 25 feet below the normal water level

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State if the three side lengths form an acute, obtuse, or right triangle
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Step-by-step explanation:

It is  acute because all the angle would make less than 90 degrees

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Write the equation of the line that passes through these two points
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Simplify the equation <br> -7(-2p+5)=
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14p-35

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Find the slope using the formula LaTeX: \frac{y_2-y_1}{x_2-x_1}y2−y1x2−x1 (9, 10) and (7, 2)
guapka [62]

Answer:

<h2>slope = 4</h2>

Step-by-step explanation:

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7 0
3 years ago
Please help me thanks!!!
snow_lady [41]

Problem 9

r+h = 9

SA = 2*pi*r^2 + 2*pi*r*h = 54pi

2*pi*r^2 + 2*pi*r*h = 54pi

2pi*r(r + h) = 54pi

r(r+h) = 27

r(9) = 27

9r = 27

r = 27/9

r = 3

r+h = 9

h = 9-r

h = 9-3

h = 6

Answers:  r = 3 and h = 6 are the radius and height respectively.

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

Problem 10

d = diameter = 68 mm

r = radius = d/2 = 68/2 = 34 mm

SA = surface area of a sphere

SA = 4*pi*r^2

SA = 4*pi*34^2

SA = 4264pi

Answer:  4264pi square mm

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

Problem 11

Plug V = 3000 into the sphere volume formula and isolate r.

V = (4/3)pi*r^3

3000 = (4/3)pi*r^3

(4/3)pi*r^3 = 3000

4pi*r^3 = 3*3000

4pi*r^3 = 9000

r^3 = 9000/(4pi)

r = cube root(  9000/(4pi)  )

r = ( 9000/(4pi) )^(1/3)

r = 8.947002 approximately

Now we can determine the surface area of this sphere.

SA = 4pi*r^2

SA = 4*pi*( 8.947002 )^2

SA = 1005.923451

Answer:  1005.923451 square feet approximately

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

Problem 12

We'll follow the same idea as problem 11, but in reverse.

SA = 4*pi*r^2

400pi = 4pi*r^2

r^2 = (400pi)/(4pi)

r^2 = 100

r = sqrt(100)

r = 10

Luckily we get a nice whole number for the radius r. Use it to find the volume.

V = (4/3)*pi*r^3

V = (4/3)*pi*10^3

V = (4000/3)pi

Answer:   (4000/3)pi   cubic inches exactly

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

Problem 13

The diagram is missing. I don't have enough info to be able to answer.

8 0
2 years ago
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