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FrozenT [24]
2 years ago
8

Question in the image

Mathematics
1 answer:
dalvyx [7]2 years ago
7 0
The exact surface area is 150.8 and the exact volume is 141.37.

To answer this I used the formula for surface are for a right cylinder which is. 2•3.14•r•h+2•3.14•r^2 (^2 means to the power of 2) r=radius and h=height. When you replace the r’s and the h’s with the radius and height it’ll look like this. 2•3.14•3•5+2•3.14•3^2. For the power of 2 (^2) we basically just do 3•3. But when you put that into a calculator it gives you 150.8.

To find the volume use the formula 3.14•r^2•h when you replace the r’s and the h’s with the height and the radius it’ll look like this. 3.14•3^2•5. When put into the calculator it gives you 141.37.
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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
4 0
3 years ago
I need help and it’s due today
frez [133]

Answer:

5.63

Step-by-step explanation:

Angle NLM is equal to KLM - KLN.

Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)

Since NLM = 16y, then 90 = 16y.

Dividing both sides by 16, we find that:

y = 5.625

5 0
3 years ago
Read 2 more answers
What is the estimate of 90/7 divided by 1 3/4​
attashe74 [19]

Answer:

7×17/49

Step-by-step explanation:

90/7 × 4/7

90×4 / 7×7

360/49

7 17/49

6 0
3 years ago
What is 2 less than five times a number
miv72 [106K]

Answer:

2<5*X

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

8 0
2 years ago
Read 2 more answers
Suppose the x-axis of a density graph represents someone's weight in
ArbitrLikvidat [17]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
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