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myrzilka [38]
3 years ago
8

What is the sum of the prime factors of the number 330?

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

21

Step-by-step explanation:

prim factors: 2, 3, 5, and 11

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A/20 + 14/15 = 9/15 <br><br> Can i get some help?
KiRa [710]
Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
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A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c
otez555 [7]

Answer:

Option A - 26 \mathrm{cm}^{3}

Step-by-step explanation:

Given: The volume of a cylinder = 78 \mathrm{cm}^{3}

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}                    (1)

The formula for volume of a cylinder is V=\pi r^{2} h              (2)

Substituting V=78 in equation (2), we get,

\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h in equation (1)

\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}.

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3 years ago
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