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2 years ago

15

A vase in the shape of a cylinder has a radius of 4.3 cm and a volume of 1330.2 cm³ what is the height of the base in centimeter

s round to the nearest 10th

1 answer:

SIZIF [17.4K]2 years ago

6 0

Answer:

The height of the base is 22.9 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pi * r^2 * h

r = 4.3 cm

h = ?

1330.2 = 22/7 * 4.3^2 * h

h = (1330.2 * 7)/(22 * 4.3^2)

h = 22.90 cm

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NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

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$\frac{2t}{3}=32$

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2 years ago

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Step-by-step explanation:

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masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

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i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

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Step-by-step explanation:

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