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katrin [286]
3 years ago
9

Given the triangle below, which of the following is a correct statement?

Mathematics
1 answer:
Nata [24]3 years ago
4 0

Can you send a picture of the triangle. Maybe take a screen shot?

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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

4 0
3 years ago
When is the additive relationship used? Select all that apply.
Mrac [35]

Answer:

your answer is for sure D but I think C is also the answer

Step-by-step explanation:

Additive relationship are two quantities can be expressed as related to each other through addition. It can be written as y = x + a, where y is related to x through the addition of a constant, a. The value for a may be positive or negative.

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 40, and their difference is 8. Find the numbers.
Fudgin [204]
x+y=40\\&#10;x-y=8\\&#10;-----\\&#10;2x=48\\&#10;x=24\\\\&#10;24+y=40\\&#10;y=16
3 0
3 years ago
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The equation of a line perpendicular to y = 3 and passes through the point (24, -56).
Lera25 [3.4K]

Answer:

x = 24

Step-by-step explanation:

The given line y = 3 is a horizontal line with slope zero (0).

We wish to find the equation of a line that is perpendicular to y = 3.  Such a line would be a vertical one.  Vertical lines do not have slopes defined (due to division by zero).

Thus the general form of the equation of this new line is x = c.

This new line passes through (24, -56).  Thus, x must be 24:  x = 24

3 0
3 years ago
You supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many poun
liq [111]

Answer:

73.5 pounds of dog food in 7 days

Step-by-step explanation:

10 1/2 x 7

10x 7 =70

1/2 x 7 = 3.5

70 + 3.5 =73.5 pounds of dog food in 7 days

6 0
2 years ago
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