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3 years ago

WZ and XR are diameters in circle C. What is the measure of ZWX?

Mathematics

2 answers:

ratelena [41]3 years ago

8 0

My answer is in the attached file.
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UNO [17]3 years ago

4 0

All work is shown in picture below.

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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

The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner

sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = $23.66\ mph$

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = $\frac{2292}{23.66} = 96.87\ hrs$

Now converting $0.87\ hrs$ into minutes we get;

$0.87\times 60= 52.2\approx 52\ mins$

Hence the winner completed the race in 96 hours and 52 minutes.

3 0

3 years ago

Billy buys a fridge.

Alex777 [14]

To answer this item, we let x represent the original price of the object or the fridge before it happened.

The representation would lead us to conclusion that the total amount to be paid is equal to,

1.20x = £480

The value of x from the equation,

x = 400

The answer is £400

7 0

3 years ago

Triangle ABC is shown below.

inna [77]

Answer:

the answer is 14 C

Step-by-step explanation:

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3 0

3 years ago

Find the fifth term of an=3n-5

solong [7]