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Charra [1.4K]
3 years ago
8

Please show your work.​

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

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2 years ago
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Answer:

4. the circumference = approx. 21.99

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4: 3.5*π*2= 21.99

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Answer:

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3 years ago
What is science ? or what is math​
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Answer:

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If you manage to falsify the hypothesis or are unable to falsify it, you will be able to use it to make predictions.

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Step-by-step explanation:

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7 0
3 years ago
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)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

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

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

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

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

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}

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b)

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

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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

a ≤ r1 ≤ b

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

r_1=b

6 0
3 years ago
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