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3 years ago

If a circle has a radius of 12 and a sector defined by a 7 degree arc , what is the area of a sector

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

7(pi/180)
.5*12^2*(7pi/180)
72(7pi/180)
14pi/5=8.7965

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Convert the worded statement into an algebraic expression.

liberstina [14]

(y÷7)+5

jdkscnkfggjfnznsogsops hexa

6 0

2 years ago

Read 2 more answers

Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Margarita [4]

Answer:

age of Sam= 15 years

age of Nina = 25 years

Step-by-step explanation:

Let Nina's age be X years

Let Sam's age be Y years

Five years ago Nina's age will be X- 5 years

Five years ago Sam's age will be Y- 5 years

Given in question

Five years ago, Nina was twice as old as Sam

writing it mathematically using X and Y we have

Nina's age = 2 * Sam's age

X- 5 = 2 *(Y- 5)

X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A

__________________________________________________________

Five years in future Nina's age will be X+ 5 years

Five years ago Sam's age will be Y+ 5 years

Given in question

In five years, she will be 1.5 times as old as Sam

writing it mathematically using X and Y we have

Nina's age = 1.5 * Sam's age

X+5 = 1.5 *(Y+ 5)

X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B

_______________________________________

in equation A we have X = 2Y - 5

in equation B we have X = 1.5Y + 2.5

equating equation A and B we have

2Y - 5 = 1.5Y +2.5

=> 2Y - 1.5Y = 2.5 + 5

=> 0.5Y = 7.5

=> Y = 7.5/0.5 = 15

from equation A we have

X = 2Y - 5 (substituting the value of Y = 15 in equation we have)

X = 2*15 - 5 = 25

Therefore age of Sam= 15 years

age of Nina = 25 years

4 0

3 years ago

Dave drives to work each morning at about the same time. his commute time is normally distributed with a mean of 45 minutes and

Paladinen [302]

The normal distribution curve is shown in the diagram below

The percentage of time that his commute time exceeds 61 minutes is equal to the area under the standard normal curve that lies to the RIGHT of X=61

Standardising X=61 to find z-score
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from the z-table
 $P(Z\ \textgreater \ 3.2) = 1 - P(Z\ \textless \ 3.2) = 1 - 0.9993 = 0.0007 = 0.07%$

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3 years ago

the cost of annual tution design at a university increased from 10,500 to $11,300. what is the percent increase in tution to the

tangare [24]

For this case we can make the following rule of three:
$ 10500 -------> 100%
$ 11300 -------> x
Clearing the value of x we have:
x = (11300/10500) * (100)
x = 107.6190476
The percentage of growth is:
107.6190476 - 100 = 7.6190476%
Round to the nearest tenth:
7.6%
Answer:
the percent increase in tution is:
7.6%

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4 years ago

Owen and Scott each ordered a pizza for

ohaa [14]

Answer:3

Step-by-step explanation:

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First make these fractions have the same denominator which in this case will be 16 so the equation will be 9/16- 12/16 and 12-9= 3 so therefore Scott ate 3 more pizzas than Owen

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3 years ago