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NeX [460]
3 years ago
13

Electrical wire is being wound around a drum with a radius of 1.1 meters. How much line (to the nearest hundredth of a meter) wo

uld be wound around the drum if it is rotated through an angle of 315.7 degrees?
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

6.81m

Step-by-step explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

theta is the angle subtended by the drum in rotation

r is the radius of the drum

Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

Line of about 6.81metres will be wounded around the drum

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Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,
Natali5045456 [20]
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.

Tom is already in the fraction we like, so just keep this as 21/100. 

Now, add 28/100, 30/100 and 21/100 to get 79/100. 

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100. 

Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :) 
8 0
3 years ago
Last year, Nahla opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5
Inga [223]

Answer:

Step-by-step explanation:

7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805

4 0
3 years ago
Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain
adell [148]

Answer:

A

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

= (x - 8)(x² + x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis

= x³ + x² - x - 8x² - 8x + 8 ← collect like terms

= x³ - 7x² - 9x + 8 → A

There are no restrictions on the domain.

4 0
4 years ago
Please Help!
Makovka662 [10]
I think it is not because it’s also not proportional and they are basically identical except for what b is equal to
5 0
3 years ago
You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla
lubasha [3.4K]

Answer:

No.  I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = 2b cups

Amount of flour i had = 8 cups

Number of loaves of bread = b

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

2b=8

Dividing both side by 2 we get;

\frac{2b}{2} =\frac{8}{2}

b=4

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0
3 years ago
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