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2 years ago

What is the value of x

Mathematics

1 answer:

olchik [2.2K]2 years ago

4 0

The two angles shown form a linear pair.
The angles are supplementary, which means their measures add to 180 deg.
Now we can write an equation and solve for x.

5x + 120 = 180

5x = 60

x = 12

Answer: x = 12

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The volume of water and a rectangle swimming pool can be modeled by the function v(x)=x^3+13x-210. If the depth of the pool is g

S_A_V [24]

Answer:

Required,

$L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}$

$W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}$

Step-by-step explanation:

Given volume and depth respectively,

$V(x)=x^3+13x-210$ and $x-3$

To find length and width of the rectanglular swiming pool we know,

Volume=length $\times$ height $\times$ depth.

Let depth=D=x-3, length=L, width=W, then

$V=DLW$

$x^3+13x-210= LW(x-3)$

$LW=\frac{x^3+13x-210}{x-3}$

After divide we will get $x^2-3x-22$ with remainder -144.

Thus,

$x^3+13x-210=(x^2-3x-22)(x-3)-144=(x-3)LW$

Now to find root of,

$x^2-3x-144=\frac{3\pm\sqrt{9+88}}{2}=\frac{3\pm \sqrt{37}}{2}$

Thus,

$L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}$

$W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}$

5 0

2 years ago

Will give brainliest, 15 points!

Helga [31]

Answer:

$35

Step-by-step explanation:

This is actually pretty simple!

All you have to do is plug 5 in place of x and solve.

Y=5(5)+10

Y=25+10

Y=35

She raises $35 if she walks 5 kilometers.

3 0

2 years ago

Could someone help me with these two questions? Would really appreciate it.

Nostrana [21]

Answer:

5) 1:2(1/2) 6) 1:4 (1/4)

Step-by-step explanation:

5) At 3 girls, there is 6 boys, and 3/6 = 1/2

6) At 2 girls, there is 8 bracelets, and 2/8 = 1/4

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2 years ago

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Write 108,000 in<br>scientific notation.

Yuki888 [10]

Answer:

10.8 * 10³

Step-by-step explanation:

7 0

2 years ago

Help plz ASAP brainliest

hram777 [196]

B .......................

7 0

3 years ago

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