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3 years ago

What's the can 54 and 24 go into

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

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a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F

slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

M= (c^2)/8 which is intern equal to 2 $\sqrt{2}$

Step-by-step explanation:

Find the area, by setting the limits as

= $4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}4d\theta$

$=8\pi$

Therefore;

Mxy= $\int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta$

z-bar = 8/3

M= 8 $\pi$ dividing it into two volume gives us = 4 $\pi$

means $4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta$

$4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)$

c=2 $\sqrt{2}$

5 0

3 years ago

A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base

ahrayia [7]

Answer:

$\frac{984}{17}$ or around 57.88

Step-by-step explanation:

We can find the base length by using the formula for the area of a triangle.

$A=\frac{bh}{2}$

Plug in the values that we know, the area and the height, and solve for $b$ .

$493=\frac{17b}{2}$

$984=17b$

$b=\frac{984}{17}So the base is [tex]\frac{984}{17}$ or about 57.88 if you round to the nearest hundredth.

7 0

3 years ago

Read 2 more answers

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

Gennadij [26K]

The formula to find the total amount is
A=p (1+r)^t
A total amount?
P present value 500
R interest rate 0.04
T time 5years
A=500×(1+0.04)^(5)=608.33

To find the interest amount just subtract the amount of the present value from the total amount
interest amount
608.33−500=108.33

7 0

3 years ago

F(x)=2x+6

mrs_skeptik [129]

Answer:

The Correct option is B. B.-10x^2-48x-54

Therefore the product of f and g. is

$F(x)\times G(x)=-10x^{2}-48x-54$