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3 years ago

Solve for the value of z:

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

z = 70

Step-by-step explanation:

Explanation: To solve this proportion for z, we can use cross products.

When we get the equation 5z = 350, we can get z by itself on the left side of the equation by dividing both sides of the equation by 5. On the left, the 5's cancel each other out and we have z. On the right, 350 divided by 5 simplifies to 70 so we have z = 70.

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Statements that are true for a cylinder with radius r and height h.

vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling r quadruples the volume.

Doubling h doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

$\displaystyle V=\pi r^2h$

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2r. Hence, our volume is:

$\displaystyle V=\pi (2r)^2h=4\pi r^2h$

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2h. Hence, our volume is:

$V=\pi r^2(2h)=2\pi r^2h$

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2r and doubling the height results in 2h. Hence, the new volume is:

$V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h$

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0

3 years ago

Some help me again lol please no links please

Alexus [3.1K]

It’s B hope this helps

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3 years ago

What does 4mnt-16mn-t+4 equal to

likoan [24]

Answer:(t-4)(4mn-1)

Step-by-step explanation:

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3 years ago

You can afford $1,000 per month as a house payment. If you can get a home loan at 5.3% interest for 15 years (paid monthly), how

liberstina [14]

Answer:

You can afford $1,000 per month as a house payment.

You can get a home loan at 5.3% interest for 15 years (paid monthly).

Then, after 15 years, the price of house that you can afford would be:

A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A

With payment of 1000$ per month in 15 years, then we have

2.2 x A = 1000 x 12 x 15 = 180000

=> The price of house that you can afford now, would be:

A = 180000/2.2 = 81818.2$

Hope this helps!

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4 years ago

19 and 20 thank you ASAP PLS

icang [17]

Answer:

all i know is that i think first ques. is b

Step-by-step explanation:

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3 years ago