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miv72 [106K]
3 years ago
8

Needed help with a question in Algebra of radians.....

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

The answer to your question is π radians

Step-by-step explanation:

Data

degrees = 180°

radians = ?

Process

To find the answer just need to memorize the proportion.

Always        2π  ⇒  360°   or  π  ⇒  180°.

Then

                    2π radians ----------------- 360°

                      x               -----------------  180°

                         x = (180° x 2π) / 360°

-Simplifying

                        x = 360°π / 360°

-Result

                       x = π radians

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The time t required to travel a fixed distance varies inversely as the speed r. it takes 5h to drive the fixed distance at a spe
Pavel [41]
Let t be time and r be rate, then if time varies inversely with the rate, the equation is t= \frac{k}{r}.  If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.5= \frac{k}{80}.  Solve for k by multiplying 5 and 80 to get that k = 400.  Now let's find a new time t when r is a rate of 70.  We will use that k value to do this: t= \frac{400}{70} and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph.  Makes sense that it takes longer to drive a fixed distance when you are going slower.

7 0
4 years ago
William found 3/5 of the pecan pie in the fridge and
spayn [35]

<em><u>ANSWER</u></em>

<em>Since </em><em>probably </em><em>part </em><em>of </em><em>the</em><em> </em><em>pie </em><em>was </em><em>already </em><em>eaten </em><em>therefore </em><em>we </em><em>find </em><em>the </em><em>fration </em><em>of </em><em>the </em><em>pie </em><em>in </em><em>the </em><em>beginning</em><em> </em><em>which </em><em>is</em>

<em>=</em><em> </em><em>1</em><em> </em>

<em>=</em><em> </em><em>5</em><em>/</em><em>5</em>

<em><u>Fraction </u></em><em><u>William </u></em><em><u>ate;</u></em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em> </em><em>of </em><em>1</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>of </em><em>5</em><em>/</em><em>5</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>5</em><em>/</em><em>5</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em>

<em> </em>

<em><u>CONCLUSION</u></em>

A fraction is a part of a whole so no matter how the fraction would increase or decrease the part William ate will remain the same

7 0
3 years ago
Mikhael bought refreshments. Sandwiches were $3 each and bottles of water were $0.75 each. He spent $318.75 on a total of 200 it
olga nikolaevna [1]
Sandwiches = S
Water = W

S + W = 200
S +W -W = 200-W
S = 200-W

$3S + $0.75W = $318.75
$3(200-W) + $0.75W = $318.75
$600 - $3W + $0.75W = $318.75
$600 -$2.25W =  $318.75
$600 - $600 - $2.25W = $318.75 - $600
- $2.25W = -$281.25
-$2.25W/-$2.25 =  -$281.25/-$2.25
W = 125

S = 200-125
S = 75

Mikhael bought 75 sandwiches and 125 bottles of water

CHECK
$3S + $0.75W = $318.75
$3(75) + $0.75(125) = $318.75
$225 + $93.75 = $318.75
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3 0
4 years ago
Colin invests £2200 into his bank account. He receives 2.5% per year simple interest. How much will Colin have after 3 years? Gi
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<u>Answer:</u>

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

<u>Using PRT/100, we can find the interest and then sum it up with the principle amount.</u>

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Hence, <u>Colin will have $2365 after 3 years.</u>

Hoped this helped.

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