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3 years ago

I need help with this right now. Please.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Part D

Do part d first. That gives you a big hint.

The height of a is 2 units. The height of d = 6 units. Therefore the heights are related as h_b / h_a = 3/1

Now go back and do A

Part A

Call the coordinates of B = (x,y)

Call the coordinates of A = (x',y')

So it looks like you are going from A to B

x = 3x'

y = 3y'

Part B

You are going in the opposite direction. You are going from B to A

x' = x/3

y' = y/3

Part C

The scale factor to go from B to A is 1/3

The scale factor to go from A to B is 3

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Free_Kalibri [48]

Answer:

the height is about 12

Step-by-step explanation:

plug into the equation $V=\pi r^{2}\frac{h}{3}$

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4 years ago

The difference of two numbers is 2. The sum of the same two numbers is 6. Find the numbers. Write the numbers from least to grea

Nady [450]

Answer:

2 and 4

Step-by-step explanation:

It says it on the correct answer box.

The difference in two numbers is 2.

2 and 4 are two numbers away from each other.

The sum of the same two numbers is 6.

2+4=6

In least to greatest order they would be written 2, 4

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3 years ago

3. Galshore of Maloat is making a journey from the island of Gont to Oranea. The distance from the two lands is 965 miles. Galsh

USPshnik [31]

Answer:

3. about 7.48 hours

4. about 1.8892 hours

Step-by-step explanation:

Both of these questions make use of the relation ...

time = distance / speed

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4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h

(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)

3 0

3 years ago

Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab

Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

$SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx$

If $f(x)=x^2,$ then

$f'(x)=2x$

and

$b=0\\ \\a=2$

Therefore,

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx$

Apply substitution

$x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du$

Then

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du$

Now

$\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))$

Hence,

$SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}$

3 0

3 years ago

Anna has a coin and a number cube. What is the probability that she flips a heads, and rolls a 3 or 5?

eduard

Answer:

1/6 chance

Step-by-step explanation:

1/2 multiplied by 1/3

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