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kotegsom [21]
2 years ago
8

Volume of a Cylinder​

Mathematics
2 answers:
Illusion [34]2 years ago
6 0

Answer:

54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)

Step-by-step explanation:

Pavel [41]2 years ago
3 0

The volume is 54,437.52.

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Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18
posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

--------

Find the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

--------

Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer:  m = -40s+2700</h3>

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

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>
7 0
3 years ago
The sum of the measures of the two angles of a linear pair must be
Pie

Answer:  180

Angles in a linear pair are always supplementary. This means they form a straight angle or a straight line.

6 0
2 years ago
5(2x-8) i dont get how to do distributive prop on this
anygoal [31]
You would multiply both 2x and -8 by 5. The answer would be 10x-40.
6 0
3 years ago
Justine and her cousin Natalie are picking out snacks at the corner store for movie night. Natalie spends $5.30. Justine spends
Kitty [74]

Answer:

34.45

Step-by-step explanation:

11÷2 = 5.5

so 5.5x5.30 = 29.15 + 5.30 = 34.45

8 0
3 years ago
A dish tv satellite dish is the shape of a paraboloid. the dish is 36 inches wide, and 8 inches deep. how many inches should the
MrRa [10]
Refer to the diagram shown below. It shows a vertical cross-section of the paraboloid through its axis of symmetry.

Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²

Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².

The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in

Answer: The receiver is located at 10.125 inches from the vertex.

4 0
3 years ago
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