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2 years ago

How many factor pairs does 15 have

Mathematics

2 answers:

kobusy [5.1K]2 years ago

7 0

Answer:

It has a total of 4 the factors are 1,3,5, and 15

ale4655 [162]2 years ago

3 0

Answer:

It has a total of 4 factors

Step-by-step explanation:

hope this helps

plz mark brainliest

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

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Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

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$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

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$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

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Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

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$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

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$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

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3 years ago

Carol walked 1 1/3 miles on Monday. 35/6 miles on Tuesday, and 2 miles on Wednesday. About how far did she walk altogether?

Dmitry_Shevchenko [17]

Answer:

9 1/6 miles

Step-by-step explanation:

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Solve the fractions first.

In order to have both of the fractions have the same denominator, find the Least Common Multiple of both of the fractions.

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So, Carol walked about 9 1/6 miles on Monday, Tuesday, and Wednesday all together.

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Step-by-step explanation:

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