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frutty [35]
3 years ago
13

Explain how System 1 becomes equivalent to System 2.

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

In the procedure

Step-by-step explanation:

we have

<em>System 1</em>

Ax+By=C -----> equation A

Lx+My=N -----> equation B

<em>step 1</em>

Multiply equation B by -1 both sides

(-1)*(Lx+My=)N*(-1)

-Lx-My=-N ------> equation C

<em>step 2</em>

Adds equation A and equation C

Ax+By=C

-Lx-My=-N

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

Ax-Lx+By-My=C-N

(A-L)x+(B-M)y=C-N -----> equation D

step 3

An equivalent system (System 2) is formed with

Ax+By=C -----> equation A

(A-L)x+(B-M)y=C-N -----> equation D

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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
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ANSWER

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EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

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