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2 years ago

What is the value of m in the figure? In this diagram ABD~BCD

Mathematics

1 answer:

Margaret [11]2 years ago

7 0

Answer:

Step-by-step explanation:

see attached sketch

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Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur

Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

$\sigma$ is parameterized by

$\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle$

for $0\le u\le7$ and $0\le v\le\frac{2\pi}3$ , and a normal vector to this surface is

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle$

with norm

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}$

So the integral of $f(x,y,z)=x^2+y^2+z^2$ is

$\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}$

6 0

2 years ago

Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

Step-by-step explanation:

We have the following function:

$y = 2x+1$ .

We are going to check if each ordered pair is a solution.

(3,7)

If when $x = 3, y = 7$ , it is a solution.

$y = 2x + 1 = 2(3) + 1 = 7$

This ordered pair is a solution.

(7,3)

If when $x = 7, y = 3$ , it is a solution.

$y = 2x + 1 = 2(7) + 1 = 15$

This ordered pair is not a solution.

(-1,14)

If when $x = -1, y = 14$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is not a solution.

(0,1)

If when $x = 0, y = 1$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is a solution.

(12,25)

If when $x = 12, y = 25$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is a solution.

(5,11)

If when $x = 5, y = 11$ , it is a solution.

$y = 2x + 1 = 2(5) + 1 = 11$

This ordered pair is a solution.

(0,12)

If when $x = 0, y = 12$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is not a solution.

(1,8)

If when $x = 1, y = 8$ , it is a solution.

$y = 2x + 1 = 2(1) + 1 = 3$

This ordered pair is not a solution.

(12,0)

If when $x = 12, y = 0$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is not a solution.

(-1,-1)

If when $x = -1, y = -1$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is a solution.

3 0

2 years ago

What is 174 dived by 6 and how u solved it

Minchanka [31]

Answer:

Step-by-step explanation:

187 divided by 7 is 6.5

8 0

3 years ago

Read 2 more answers

A greenhouse manager knows, from experience, that the probability of a plant surviving the winter is 3/5 . If her greenhouse has

Lina20 [59]

162 plants, if 60% of the plants live you can set it up like this: 60/100 = X/270, to find X, you cross multiply and divide by 100

6 0

2 years ago

Read 2 more answers

A bag of rice contains 17 1/2 cups of rice. Ken's children eat 2 1/2 cups of rice each day.

balu736 [363]

Answer:

The answer is "7".

Step-by-step explanation:

Given values:

$\ bag \ of \ rice= 17\frac{1}{2} \\\\\ eating \ rice \ by \ ken \ per \ day = 2\frac{1}{2}\\\\\ rice = \frac{35}{2}\\\\ \ eat \ by \ day = \frac{5}{2}\\\\\ total \ days = \frac{\ bag \ value}{ \ eat \ by \ day}\\\\\ total \ days = \frac{\frac{35}{2}}{\frac{5}{2}}\\\\\ total \ days = \frac{35}{2} \times \frac{2}{5}\\\\\ total \ days = 7$

4 0

2 years ago