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EleoNora [17]
2 years ago
13

$350 increased by 42%

Mathematics
2 answers:
irina [24]2 years ago
6 0

Answer:

497

Step-by-step explanation:

350*1.42

Scrat [10]2 years ago
5 0
99.88% I think I’m not sure
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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
Approximately 64​% of films are rated R. If 700 films were recently​ rated, how many were rated​ R?
oksano4ka [1.4K]

448 films. You get the answer by multiplying 700 by 64%

5 0
3 years ago
If a person walks 1/2 a mile in each 1/4 hour, how far does he walk in 1 hour?
laila [671]

Answer:

2 miles

Step-by-step explanation:

1/2+1/2+1/2+1/2=1

5 0
2 years ago
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Round to the nearest whole number 3.713 divided by 0.413
babunello [35]

After the division, we get 8.99031476998. This rounds to <u>9</u> as a whole number, which is the answer.

When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.

8.1 would round to 8

But if its 5-9 it rounds to one above, like in our current case.

8.5 rounds to 9.

42.414 rounds to 42.

42.94149124 rounds to 43.

7 0
3 years ago
PLEASE HELP!I'M NEWW​
mixer [17]

Answer:

I think its 90°, since it l00ks like a right angle

5 0
3 years ago
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