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3 years ago

Is 1/4 a rational or irrational number

1 answer:

6 0

Hi there!

1/4 is a rational number.
Any number that can be written as a fraction is a rational number.

~ Hope this helps you ~

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A retailer purchased a set of four plates at a cost of $45.00 and plans to sell them for $75.00. What is the percent of markup b

12345 [234]

Answer: c just did it

Step-by-step explanation:

5 0

2 years ago

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Which expresses 216:270 in its simple form

Ivanshal [37]

Answer:

4/5

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 216 and 270 is 54

Divide both the numerator and denominator by the GCD

216 ÷ 54

270 ÷ 54

Reduced fraction:

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3 years ago

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

Complete the following sentence using the correct term. <br> 14 is a ________ of 7 and 14.

Sidana [21]

Answer:Complete the following sentence using the correct term.

14 is a ________ of 7 and 14.

Step-by-step explanation:

8 0

3 years ago

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A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

den301095 [7]

Answer:

8 times

Step-by-step explanation:

<u>The volume of the prism:</u>

V = lwh

<u>If each of the dimensions is doubled, then the volume becomes:</u>

V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

8 0

3 years ago