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sergejj [24]
2 years ago
12

The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
4 0

Answer: V=x^3-2x^2+13x-12

Step-by-step explanation:

Given

The area of the base is given by b(x)=x^2-x+12

The height of the container is h(x)=x-1

The volume of the cylindrical container is

V=Area\times height

Insert the values

\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12

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the temperature in Nico's town was -2.9 f at noon . the temperature increased at a steady rate of 1.3 f per hour until 6:00p.m.
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Temperature at noon: Tn=-2.9 f
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3 years ago
I need the angle measurements for each letter in this image
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Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

100+c=180.

Move the 100 over to the other side.

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Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

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We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

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Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

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I hope this helps!

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