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ValentinkaMS [17]
3 years ago
12

Make r subject of the formula

Formula1" title="s = 4\pi \: r {}^{2} " alt="s = 4\pi \: r {}^{2} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
DerKrebs [107]3 years ago
4 0

Answer:

r = √( s/4π)

Step-by-step explanation:

s = 4πr²

s/4π = 4πr²/4π

r² = s/4π

√(r²) =+/-√( s/4π)

r = √( s/4π)     Because r is a radius of the circle , it should be positive.

xenn [34]3 years ago
4 0

Answer:

\boxed{r = \pm \frac{ \sqrt{s} }{2 \sqrt{\pi} } }

Step-by-step explanation:

Solve \:  for \:  r:  \\  =  > s=4\pi {r}^{2}  \\  \\ s =4\pi {r}^{2}  \:  is  \: equivalent \:  to  \: 4\pi {r}^{2}  = s:  \\  =  > 4\pi {r}^{2}  =s  \\  \\ Divide \:  both  \: sides  \: by \:  4\pi:  \\  {r}^{2}  =  \frac{s}{4\pi}  \\  \\ Take  \: the \:  square  \: root  \: of \:  both  \: sides:  \\ =  > r =  \frac{ \sqrt{s} }{2 \sqrt{\pi} }   \:  \:  \:  \: or \:  \:  \:  \:  r =   - \frac{ \sqrt{s} }{2 \sqrt{\pi} }

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Doug had been working 20 hours per week at a pet store for $8.00 per hour. His pay was increased to $8.50 per hour, and his hour
stellarik [79]

Answer:

$44

Step-by-step explanation:

First, find how much he was making originally:

Multiply the number of hours he worked by the amount he got per hour:

20(8)

= 160

Then, find how much he gets now:

24(8.50)

= 204

To find his total weekly pay increase, find the difference between them:

204 - 160

= 44

So, his total weekly pay increase is $44

5 0
3 years ago
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Oksana_A [137]

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Step-by-step explanation:

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7 0
3 years ago
Store A sells 11 bagels for 9.57 Store B sells bagels for 3.52. How do the unit rates compare?
Sloan [31]
First you put the numbers in this form:

11 Bagels = $9.57
________ _______
? Bagels   = $3.52

Now they look like fractions but you have to cross multiply them like this: 11 x $3.52 which makes $38.72 then you divide $38.72 by $9.57 which makes the answer that you have to find which is 4.04597701 or just to round 4 and then that will be your answer.
4 0
3 years ago
PLEASE HELP ASAP
Vlad [161]

Answer:

  1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

  drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

5 0
3 years ago
the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger
Reil [10]
<h2>Answer:</h2>

x\geq 3 \ and \ x+1 \geq 4

<h2>Step-by-step explanation:</h2>

The question in this problem is:

<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>

<em />

First of all, let's name the first variable x which is the smaller number. Accordingly, the lager number will be x+1 given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

\leq \\ which \ means \ less \ than

So:

1. The sum of 2 consecutive integers can be written as:

v+(v+1)

2. Nine times the smaller and 5 times the larger can be written as:

9v-5(v+1)

Finally, the whole statement:

The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4

The two numbers are:

x\geq 3 \ and \ x+1 \geq 4

6 0
3 years ago
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