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3 years ago

2. Find the volume of the storage container shown. Round to the nearest tenth.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Step-by-step explanation:

2. The storage container is in the shape of a right circular cylinder with a diameter of 15 in and 10 in high. A right circular cylinder is considered a cylinder with circular bases with the axis of the cylinder being perpendicular (forms $90^{\circ}$ ) with the base.

The volume of a right circular cylinder is evaluated following the formula

$V \ = \ \pi r^{2}h$ ,

where $V$ denotes volume, $r$ is the radius of the circular base and $h$ is the height of the cylinder.

Plugging the given values into the formula and let $\pi \ = \ 3.1415$ ,

$V \ = \ (3.1415)\left(\displaystyle\frac{15}{2}\right)^{2}(10) \\ \\ V \ = \ 1767.1 \ \ \text{in}^3 \ \ \ \ \ \ (\text{nearest tenth})$ .

3. The ball is the shape of the sphere in which the volume is determined by the formula

$V \ = \ \displaystyle\frac{4}{3}\pi r ^{3}$ .

Therefore,

$V \ = \ \displaystyle\frac{4}{3}(3.1415)\left(\displaystyle\frac{38}{2}\right)^{3} \\ \\ V \ = \ 28730.1 \ \text{cm}^{3} \ \ \ \ \ (\text{nearest tenth})$

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Factor: b2 + 11b + 10 pls help i need it

Serhud [2]

(b+1) (b+10) hopefully this is right

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3 years ago

Can you have a negative square? Why or Why not?

Inga [223]

Answer:

Yes, you can square a negative number. In fact, any number at all can be squared, even numbers like pi and 0. This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2) (-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,

Natali5045456 [20]

First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate.

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.

Tom is already in the fraction we like, so just keep this as 21/100.

Now, add 28/100, 30/100 and 21/100 to get 79/100.

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100?

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100.

Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :)

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3 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

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3 years ago

What is 9.65+0.4, 16.058- 1.2

gogolik [260]

Answer:

Step-by-step explanation:

9.65+0.4=10.05

16.058-1.2=14.858

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1 year ago