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Alexus [3.1K]
2 years ago
5

M/

Mathematics
1 answer:
satela [25.4K]2 years ago
7 0
<h3>Answer:  C) 2.47 cm</h3>

=====================================================

Explanation:

We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay

--------------

The volume of a cone is

V = (1/3)*pi*r^2*h

Solving for h gets us

3V = pi*r^2*h

(3V)/(pi*r^2) = h

h = (3V)/(pi*r^2)

--------------

The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.

We'll plug this radius in, along with V = 4.05 and pi = 3.14

h = (3V)/(pi*r^2)

h = (3*4.05)/(3.14*(1.25)^2)

h = 2.4764

This value is approximate. Rounding down to the nearest hundredth gets us 2.47

We round down because rounding up to 2.48 will lead to a volume larger than 4.05

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What is the factored form x^3 - 1 ?
amid [387]

Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)

Explanation:

This is a type of factorizing called the sum or difference of 2 cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

The sum of the cubes is factored as:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

In this case, we have: x^3 - 1 so follow the rule above.

x^3 - 1 = (x - 1)(x^2 + x + 1)

7 0
3 years ago
The equation of the line that contains the points (-8, 1) and (0, -5) is
posledela

Answer:

y = -3/4x -5 (G)

Step-by-step explanation:

Find the slope by using the slope formula. (It's hard to format here so look it up)

Basically, it is y2 - y1/x2 - x1

-5 - 1/ 0 + 8

-6/8 = -3/4

The slope is -3/4.

Plug in for y = mx + b

y (y coordinate) = -5

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slope (m) = -3/4

-5 = -3/4(0) + b

-5 = 0 + b

b = -5

y = -3/4x -5

5 0
2 years ago
Please help me out with this ill mark as brainiest
dem82 [27]

Answer:

500,000

250,000

125000

62,500

31,250

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Equation : 1000000 / n^2

Step-by-step explanation:

Keep on dividing by 2

8 0
2 years ago
Read 2 more answers
Max has sticks of lengths 6,7,8 and 10 inches. He wants to make a right triangle for an art project. Which 3 sticks should he us
MrMuchimi
C since that's the only triangle where A^2+B^2=C^2 (36+64=100).
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3 years ago
Can someone help me with this problem please h + 11/12 = 120 1/2
ira [324]

Your answer would be h=1435/12

8 0
3 years ago
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