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Monica [59]
3 years ago
11

Convert each measure to degrees. Round answers to the nearest hundredth if needed. a.) π/9 b.)−2π/3

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
To convert an angle from units of radians to the units of degrees, we need a conversion factor to multiply. From what I've learned, we just have to multiply the value 180°/<span>π. We convert as follows:

</span>a.) π/9 (180°/π) = 20°<span>


b.)−2π/3</span>(180°/π)  = -120°
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Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags
Paladinen [302]
Let's start by writing a system of linear equations:
c -> cookies 
cb -> candy bars
(You can use any abbreviations to your preference)

Abby:
4 cookies 
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25

Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75

So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75

I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.

(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50

      4c + 3cb = $10.25
   -  4c+14 cb = $29.50                    (4c would get canceled.)
---------------------------------
             -11 cb = - $19.25                (Divide by -11 to solve for cb)
</span>             ---------   -------------
              -11           -11
            
             cb = $1.75

Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations. 

  4c + 3 (1.75) = $10.25
  4c + 5.25 = $10.25                       (Multiply 3 by 1.75)
       -5.25       -5.25                         (Subtract 5.25 on both sides)
             4c = 5                                 (Divide by 4 on both sides to get c)
             ----   ---
              4      4
         
         c= 1.25

Check the work:
4(1.25) + 3(1.75) 
  = $10.25

2(1.25) + 7(1.75)
   = $14.75

Total cost:
cookies = $1.25
candy bars = $ 1.75

Hope this helps! :)

6 0
3 years ago
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lukranit [14]

Answer:

independent

Step-by-step explanation:

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8 0
2 years ago
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Shalnov [3]

Answer:

the answer is 3/2

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Taxes (T) = 5%

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Total price A (TA) = Rp - 75 + (Rp - 75) 5%

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TA = 725 + 725 5%

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Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%

TB = 800 - 800 10% + (800 - 800 10%) 5%

800 10% = 800*10/100 = 80

TB = 800 - 80 + (800 - 80) 5%

TB = 720 + 720 5%

720 5% = 720*5/100 = 36

TB = 720 + 36 = $756

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store pays sales tax means Walden's family will not need pay for taxes

Total price C (TC) = RP - RP 5%

TC = 800 - 800 5%

800 5% = 800*5/100 = 40

TC = 800 - 40 = $760

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Means that Walden's family will need pay just the retail price

TD = $800

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<span>the answer is b. π(10^3) – π(4^3)</span><span>                                                       </span>
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3 years ago
Read 2 more answers
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