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3 years ago

Solve for x: 6 over x equals 4 over 8

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer:

For the given expression, x = 12.

Step-by-step explanation:

Here, in the given expression:

6 over x equals 4 over 8.

Now, 6 over x = $\frac{6}{x}$

and 4 over 8 = $\frac{4}{8}$

So, here $\frac{6}{x} =\frac{4}{8}\\ \implies x = \frac{6 \times 8}{4} = 12$

⇒ x = 12

Hence, for the given expression, x = 12.

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Find the volume of the cylinder. Round your answer to the nearest tenth.

GrogVix [38]

We know diameter $d=8$ and height $h=16$ .

First find the radius of the bottom of the cylinder,

$r=\dfrac{d}{2}=\dfrac{8}{2}=4$ .

Then find the area of the bottom of cylinder,

$A=\pi r^2=16\pi$ .

Then to find volume just multiply the height with the area of the bottom of the cylinder,

$V=Ah=16\cdot16\pi=16^2\pi\approx804.247\mathrm{cm^3}$ .

Hope this helps.

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3 years ago

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What is the shape of the cross-section formed when a cylinder intersects a plane as shown in the drawing?

elena55 [62]

Answer:

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Step-by-step explanation:

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3 years ago

Dion has a pizza with a diameter of 10 1/3 inch is the square box shown big enough to fit the pizza inside justify your answer

I am Lyosha [343]

Given :

Diameter of pizza , $D=10\dfrac{1}{3}=\dfrac{31}{3}$ .

To Find :

Is square box of size equal to diameter big enough to fit pizza inside it .

Solution :

Area of pizza :

$A_p=\pi(\dfrac{D}{2})^2\\\\A_p=\pi\times (\dfrac{31}{3\times 2})^2\\\\A_p=83.86\ inch^2$

Area of square with side equal to diameter :

$A_s=D^2\\\\A_s=(\dfrac{31}{3})^2\\\\A_s=106.78\ inch^2$

Since , the area of square is more than area of pizza .

Therefore , pizza can easily be fitted .

Hence , this is the required solution .

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3 years ago

Rita is hosting movie night tonight. To get ready, she makes popcorn. She fills both a small bowl and a large bowl to the top wi

sasho [114]

Answer: The smaller bowl

Explanation: in the big bowl there is more popcorn which means it will need more even salt to be saltier.

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3 years ago

A researcher is interested in the texting habits of high school students in the United States. The researcher selects a group of

vlabodo [156]

Answer:

(a)High school students in the United States.

(b)100 Students

(c)Statistic

Step-by-step explanation:

(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.

(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.

In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.

(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.

Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>

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3 years ago