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3 years ago

Substitute x=6 into the original equation

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

$2(6+4)=4*2(6-2)-2x\\2(10)=8(4)-2(6)\\20=20$

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Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each g

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Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

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2 years ago

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil

RSB [31]

Answer:

$72\pi\ in^{3}$

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ -----> the radius is half the diameter

$h=12\ in$

substitute the values

$V=\pi (3)^{2}(12)=108\pi\ in^{3}$ ------> exact value

step 2

Calculate 2/3 of the volume

$V=(2/3)108\pi=72\pi\ in^{3}$

8 0

3 years ago

From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.

Colt1911 [192]

Given:

• AD = 3

• DC = 27

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

$\frac{AD}{BD}=\frac{BD}{DC}$

Where BD is the altitude.

Cross multiply:

$BD^2=AD*DC$

Plug in the values and solve for x:

$\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}$

Therefore, the value of x is 6 .

ANSWER:

d. 6

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1 year ago

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3 years ago

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3 years ago