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anygoal [31]
3 years ago
15

If r = 12 units and h = 8 units, then what is the volume of the cylinder shown above?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

your answer is option D

use formula

volume = pi × r^2 × h

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sleet_krkn [62]
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Explanation:

All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.

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If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.

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3 years ago
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3 years ago
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\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250&#10;\\\\\\&#10;\begin{array}{lcclll}&#10;x^2&+3x&-54&=0\\&#10;&\uparrow &\uparrow \\&#10;&-6+9&-6\cdot 9&#10;\end{array} \implies (x+9)(x-6)=0\implies &#10;\begin{cases}&#10;x+9=0\\&#10;\boxed{x=-9}\\&#10;-----\\&#10;x-6=0\\&#10;\boxed{x=6}&#10;\end{cases}
3 0
3 years ago
AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC
sergejj [24]

Answer:

7x+5y-48=0

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A=(x_1,y_1) = (-3,-1)

Point B=(x_2,y_2) = (4,4)

Formula for slope 'm' when two points are given :

m=\frac{y_2-y_1}{x_2-x_1}

Substituting thew values

m=\frac{4-(-1)}{4-(-3)}

m=\frac{5}{7}

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

\Rightarrow m_1\times m_2 =-1

\Rightarrow \frac{5}{7}\times m_2 =-1

\Rightarrow m_2 = \frac{-7}{5}

So, Slope for line BC : m_2 = \frac{-7}{5}

Point B = (4,4)

Formula of equation of line : y-y_1=m(x-x_1)

y-4=\frac{-7}{5}(x-4)

5(y-4)=-7(x-4)

5y-20=-7x+28

7x+5y-20-28=0

7x+5y-48=0

Hence the equation of line BC : 7x+5y-48=0

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2 years ago
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