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Leni [432]
2 years ago
7

Find the surface area of each figure. Round to the nearest hundredth when necessary Please quick and real answers

Mathematics
1 answer:
Vlad1618 [11]2 years ago
8 0

The total surface area of the cone is 542.592 square mm

<h3>Total surface area of a cone</h3>

The formula for calculating the total surface area of a cone is expressed as:

TSA = πr(r + l)

where

r is the radius of the cone

l is the slant of the cone

Given the following parameter

l = 13.6mm

r = 8mm

Substitute

TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)

TSA = 542.592 square mm

Hence the total surface area of the cone is 542.592 square mm

Learn more on surface area here: brainly.com/question/76387

#SPJ1

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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
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Answer:

a)

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where

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\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

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In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

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The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

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Answer:

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Explanation:

While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.

For example, if you were to solve 2x + 3 = 9

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Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.

Step-by-step explanation:

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