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2 years ago

HELPPP PLEASEEEEE

Mathematics

2 answers:

astraxan [27]2 years ago

7 0

The difference in volumes between cube and cone is 5190.52 cubic units.

<h3>How to find the volume of a cube?</h3>

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

The height is 20 cm and the radius will be

$D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1$

volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

= $V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3$

= 59190.52 cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

Learn more about the volume of a cube here:

brainly.com/question/26136041

#SPJ2

melamori03 [73]2 years ago

4 0

Answer:

5906

Step-by-step explanation:

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if the probability of an event is 26% what is the probability of its complement occurring? a. 100% b. 74% c. 26% or d. 24%

oksian1 [2.3K]

B. 74%
This is because the complement plus the original must equal 100%.
So...
100 - 26 = 74

5 0

3 years ago

Read 2 more answers

What is the expression for f(x) when we rewrite <br> (5⁻⁴ˣ⁺⁷)÷(125x) as 5^f(x)

alexandr402 [8]

Answer: The answer is f(x) = -7x + 7.

Step-by-step explanation: We are give a relation as follows :

$5^{-4x+7}\div 125^x=5^{f(x)}.$

From here, we need to find the expression for f(x).

Here, we will be using the following properties of exponents :

$(i)~\dfrac{a^x}{a^y}=a^{x-y}.\\\\(ii)~a^x=a^y~\Rightarrow x=y.$

We have

$5^{-4x+7}\div 125^x=5^{f(x)}\\\\\Rightarrow5^{-4x+7}\div 5^{3x}=5^{f(x)}\\\\\\\Rightarrow \dfrac{5^{-4x+7}}{5^{3x}}=5^{f(x)}\\\\\\\Rightarrow 5^{-4x+7-3x}=5^{f(x)}}\\\\\Rightarrow 5^{-7x+7}=5^{f(x)}\\\\\Rightarrow -7x+7=f(x).$

Thus, the required expression is f(x) = -7x + 7.

8 0

3 years ago

Eric is baking a cake. The recipe calls for 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Er

OverLord2011 [107]

Answer:

10 pounds of flour

Step-by-step explanation:

If you have 1/4 a cup you need 4 to make a cup so times the 2 1/2 pounds of flour by 4 and you will get 10 pounds of flour.

6 0

3 years ago

Read 2 more answers

11. Write a few sentences explaining how you can distinguish a question about permutations from a question about combinations.

Annette [7]

Answer:

Whenever the position matters, use permutation.

If position does not matter, then it's a case of combination.

Step-by-step explanation:

Consider the provided information.

Whenever the position matters, use permutation.

For example: If (X,Y) and (Y,X) are different, it is a permutation question.

In Permutations every small detail matters.

For example: David, John and Stuart is different from John, David, and Stuart (As the order is different).

If position does not matter, then it's a case of combination.

For example: (X,Y) is the same as (Y,X), It is a combination question.

In Combinations the small details don’t matter.

For example: David, John and Stuart is not different from John, David, and Stuart.

3 0

4 years ago

Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8

olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0

3 years ago