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2 years ago

The volume of a pyramid is 1/3 the volume of a prism ? True False

Mathematics

1 answer:

marissa [1.9K]2 years ago

6 0

Answer: True

Step-by-step explanation:

Prism volume = lwh

Pyramid Volume = lwh/3

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How do I show my work on this problem?

wel

If you are to make it to proper fraction it would be 7 1/8 if have to make it to a just decimal it would be 7.125

8 0

3 years ago

What is the answer and how do you solve 21x^3/3x^−1

Sunny_sXe [5.5K]

Answer:

as written: 7x^2

perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

$\dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2$

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

21x^3/(3x^-1)

then the simplification is ...

$\dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4$

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b/a^c = a^(b-c)

6 0

3 years ago

Samuel has an ant farm with a volume of 375 cubic inches. The width of the ant farm is 2.5 inches and the length is 15 inches. W

Alexxandr [17]

Answer:

Step-by-step explanation:

From the given information, it is clear that the shape of ant form is rectangular prism.

Let us write formula for volume of rectangular prism (ant form)

V = l x w x h

Use the formula to write an equation.

Plug V = 375, w = 2.5 and l = 15

375 = 15 x 2.5 x h

375 = 37.5 x h

Divide both sides of the equation by 37.5

375/37.5 = (37.5 x h)/37.5

10 = h

Hence, the height of the form is 10 inches.

6 0

3 years ago

If parallel lines a and b are cut by transversal t, then which statement about angles 1 and 2 must be true?

alex41 [277]

Did you not include D or finish writing D since the first three are not right. If one of the possible answers is that they are alternate exterior angles or the same degrees, that would be the answer.

8 0

3 years ago

30. 3 x (5 + 6) = 33 33. 14 - (8 - 2) - 1 = 36. (3 + 2) × (4 + 6) = 39. 6 x 4 + 5) =

Vanyuwa [196]

Answer:

39. 29

36. 50

33. 7

30. 33

Step-by-step explanation:

39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:

$6 \times 4 + 5 = 24 + 5 = 29$

36. Evaluate everything since everything is wrapped in parentheses:

$(3 + 2) \times (4 + 6) = 5 \times 10 = 50$

33. Evaluate everything inside of parentheses FIRST:

$14 - (8 - 2) - 1 = 14 - 6 - 1 = 7$

I am joyous to assist you anytime.

7 0

3 years ago