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Alik [6]
3 years ago
5

Plsssss helps 50 points

Mathematics
2 answers:
PtichkaEL [24]3 years ago
7 0

Answer:

2000.2 cm³

Step-by-step explanation:

Finding the volume of a cylinder is quite simple if you under what pi (3.14) is. You can watch khan academy. It has some useful videos on solving for volume. It also explains very well. Hope this helps!

lutik1710 [3]3 years ago
3 0

Here's the solution,

volume of cylinder :

=》

\pi  r {}^{2} h

where,

  • r = radius
  • h = height

now, let's solve

=》

3.14 \times 7 \times 7 \times 13

=》

2000.18

So, volume = 2000.2 cm³

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marta [7]

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3 0
3 years ago
What would x equal to if x equaled 4 in this: 4x
andriy [413]

Answer:

x = 4 and the expression when evaluated at x = 4, is 16.

Step-by-step explanation:

For this problem, we will simply look at the wording of the question and the given expression.  The question ask, "What would x be equal to if x equaled 4 in this: 4x?"

In the problem, we are already given that x = 4 in the following expression, so the answer to the question is x = 4.  If we were to evaluate the expression when x = 4, we would say the following:

If x = 4, then:

4x

= 4(4)

= 16

Hence, the expression would be 16 if evaluated when x = 4.

Cheers.

8 0
3 years ago
The area of the triangle below is 12 square inches. What is the length of the base?
Aloiza [94]

Answer:

b = 8 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Here A = 12 and h = 3 , then

\frac{1}{2} b × 3 = 12 , that is

1.5b = 12 ( divide both sides by 1.5 )

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4 0
3 years ago
Read 2 more answers
If c is the line segment connecting (x1,y1) to (x2,y2), show that the line integral of xdy-ydx=x1y2-x2y1......this is in a chapt
MatroZZZ [7]
Green's theorem doesn't really apply here. GT relates the line integral over some *closed* connected contour that bounds some region (like a circular path that serves as the boundary to a disk). A line segment doesn't form a region since it's completely one-dimensional.

At any rate, we can still compute the line integral just fine. It's just that GT is irrelevant.

We parameterize the line segment by

\mathbf r(t)=\langle x_1,y_1\rangle(1-t)+\langle x_2,y_2\rangle t
\implies\mathbf r(t)=\langle x_1+(x_2-x_1)t,y_1+(y_2-y_1)t\rangle

with 0\le t\le1. Then we find the differential:

\mathbf r(t)\equiv\langle x,y\rangle=\langle x_1+(x_2-x_1)t,y_1+(y_2-y_1)t\rangle
\implies\mathrm d\mathbf r\equiv\langle\mathrm dx,\mathrm dy\rangle=\langle x_2-x_1,y_2-y_1\rangle\,\mathrm dt

with 0\le t\le1.

Here, the line integral is

\displaystyle\int_{\mathcal C}x\,\mathrm dy-y\,\mathrm dx=\int_{\mathcal C}\langle-y,x\rangle\cdot\langle\mathrm dx,\mathrm dy\rangle
=\displaystyle\int_{t=0}^{t=1}\langle-y_1-(y_2-y_1)t,x_1+(x_2-x_1)t\rangle\cdot\langle x_2-x_1,y_2-y_1\rangle\,\mathrm dt
=\displaystyle\int_{t=0}^{t=1}(x_1y_2-x_2y_1)\,\mathrm dt
=(x_1y_2-x_2y_1)\displaystyle\int_{t=0}^{t=1}\,\mathrm dt
=x_1y_2-x_2y_1

as required.
4 0
4 years ago
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