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3 years ago

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]

ANSWER

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

= 1

= 5/5

Fraction William ate;

= 3/4 of 1

= 3/4 of 5/5

= 3/4 × 5/5

= 3/4

CONCLUSION

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
$318.75 = $318.75

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

Helga [31]

Answer:

Colin will have $2365 after 3 years.

Step-by-step explanation:

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

=> 2200 x 2.5 x 3/100 = Interest
=> 22 x 2.5 x 3 = Interest
=> 55 x 3 = Interest
=> 165 = Interest
=> 2200 + 165 = Total amount
=> $2365

Hence, Colin will have $2365 after 3 years.

Hoped this helped.

$BrainiacUser1357$

5 0

3 years ago

Solve and justify each step SHOW WORK Solve: -4(n+5)>3n+8

natulia [17]

-4n-20>3n+8

-7n-20>8

-7n<28
n<-4

7 0

4 years ago