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Mathematics

1 answer:

Elden [556K]2 years ago

8 0

Answer:

-3, -1, 0, +2

Step-by-step explanation:

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Solve for indicated variable. V= 1/3πr^2h solve for r

sergey [27]

$V=\frac{1}{3}\pi r^2h\\\\\frac{1}{3}\pi r^2h=V\ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |divide\ both\ sides\ by\ \pi h\\\\r^2=\frac{3V}{\pi h}\Rightarrow\boxed{r=\sqrt{\frac{3V}{\pi h}}}$

8 0

2 years ago

What is the surface area of this solid?

Anna007 [38]

Answer:

SA. = 62.8 +87.92= 150.72

Step-by-step explanation:

surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8

Surface area of cylinder without base = 2*pi*r*h + pi*r*r

= 2* 3.14 * 2 * 6 + 3.14*2*2

= 75.36 + 12.56 = 87.92

SA. = 62.8 +87.92= 150.72

6 0

3 years ago

The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t

NARA [144]

Answer: The answer is 50%.

Step-by-step explanation: Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

$p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.$