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gulaghasi [49]
3 years ago
8

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Step-by-step explanation:

 The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.

the expression for the volume of a cylinder is

volume-of-cylinder= \pi r^2h

the volume of a cone is a part of the volume of a cylinder

volume-of-cone= \frac{1}{3} \pi r^2h

Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3

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How do you solve this?
solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

<u>Solving by substitution</u>

Solve either equation for one variable. For example,

7M - 2t = -30   ⇒   t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

<u>Solving by elimination</u>

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30   ⇒   -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115   ⇒   10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

4 0
2 years ago
What is the value of the discriminant in the equation shown below?<br><br> x^2 -6x +4 =0
irakobra [83]

Answer:

Discriminant = 20

Step-by-step explanation:

We use formula to find the discriminant.

Discriminant (D) = b^2 - 4ac

The given equation is x^2 - 6x + 4 = 0.

Here the value of a = 1, b = -6 and c = 4.

Plug in the given values in the formula, we get

Discriminant (D) = (-6)^2 - 4*1*4

= 36 - 16

Discriminant = 20

Thank you.

7 0
3 years ago
The student government snack shop sold 32 items this week
Firdavs [7]

Answer:

right the whole question

Step-by-step explanation:

if he sold 32 items this week last week he sold 20

5 0
3 years ago
I will give Branliest
Yuliya22 [10]
Neither because they are different size and mirrored it could’ve been congruent but it’s double the size and congruent is mirrored and the same size
3 0
3 years ago
If a package of corn chips weighs 1.2 ounces what is the weight in ounces of 48 packages ?
Naya [18.7K]
I'm not usually good at these questions but you can get a calculator that does weight multiplied by units.
so with your question it would be :

1.2 ounces x (48 units)
=  57.6 ounces




57.6 ounces
5 0
3 years ago
Read 2 more answers
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