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Maurinko [17]
3 years ago
14

How many marbles, each with a volume of 36 cubic centimeters, are needed to fill in a cylindrical vase with a radius of 6 centim

eters and a height of 28 centimeters?
6 marbles
9 marbles
14 marbles
28 marbles
Mathematics
2 answers:
ANEK [815]3 years ago
7 0
The volume of a cylinder can be found using the formula:

π r² h, 

where r is the radius of the circular base and h is the height of the cylinder.

If we plug in the measurements of the cylinder, we get:

π (6²) (28)

When this is simplified, we get that the volume of the cylinder is:

1008π cubic cm

Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.

1008π / 36π = 28

Therefore, the answer is D. 28 marbles
Karolina [17]3 years ago
4 0
The correct answer is 28 marbles
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Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°
kramer

Answer:

D) 140°

Step-by-step explanation:

The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.

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3 years ago
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The owner of a computer repair shop has determined that their dailyrevenue has mean $7200 and standard deviation $1200. The dail
meriva

Answer:

The required probability is 0.0855

Step-by-step explanation:

Consider the provided information.

The daily revenue has mean $7200 and standard deviation $1200.

\mu_{\bar x}=7200

\sigma=1200

The daily revenue totals for the next 30 days will be monitored.

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

\sigma_{\bar x}=\frac{1200}{\sqrt{30}}=219.089

As we know Z=\frac{\bar x-\mu_{\bar x}}{\sigma_{\bar x}}

Substitute \bar x=7500, \mu_{\bar x}=7200\ and\ \sigma_{\bar x}=219.089 in above formula.

Z=\frac{7500-7200}{219.089}=1.3693

From the standard normal table P( Z >1.3693) = 0.0855

Hence, the required probability is 0.0855

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3 years ago
Mary is building a sandcastle with rectangular prism molds. One mold is 4 inches long, 6 inches wide, and 2 inches tall. The oth
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Answer:

63 cubic inches

Step-by-step explanation:

You have to first find the volume of each mold:

6 × 4 × 2= 48 cubic inches

3 × 5 × 1= 15 cubic inches

Add these two volumes together to find the overall volume of the whole sand castle.

48+15= 63 cubic inches

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I need help plz math
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Answer:

Q1 = 40

Step-by-step explanation:

Set up numbers from least to greatest

21, 40, 52, 58, 72, 75, 96

First, find the median,

Median is: 58

Now Q1 is all numbers before the median (without counting the median)

21, 40, 52

The median here is 40

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Based on the angle bisector QS, the value of x is 4

<h3>How to determine the value of x?</h3>

The given parameters are:

  • QS bisects <PQT
  • QP and QR are opposite rays.
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Because QS bisects <PQT, then

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This gives

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Divide by 2

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Hence, the value of x is 4

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