MATHEMATICS HIGH SCHOOL

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Answers

Answer 1
Answer:

Answer:

a=5

Step-by-step explanation:

you would divide 245 by 49 to get a

a= 5

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The measure of central angle XYZ is 1.25 radians. What is the area of the shaded sector?
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Convert the rate 1000 fluid ounces per 2 hours to cups per minute.

Answers

The conversion may be done through the dimensional analysis and the use of proper conversion factors. Each fluid once is 0.125 cup and each hour is equal to 60 minutes. 
  (1000 fluid ounces / 2 hours) x (0.125 cup / 1 fl oz.) x (1 hr / 60 min) = 2.08 cup/ minute

Thus the conversion is 2.08 cup / minute. 

Winnie write the following riddle.I am a number between 60 and 100.My ones digit is teo less than my trns digit.I am a prime number.Winnie's friend Marci guessed that her riddle was about the number 79.Why can't 79 be the answer to Winnie's riddle?

Answers

The criteria is
Between 60 & 100
Units digit 2 less than tens
Prime number

79 is a number between 60 & 100 and it is a prime number (as its only factors are 1 and itself), however 79 has a tens digit that is 2 less than the units - not the units 2 less than the tens.
As it does not comply with one of the rules the number cannot be 79

The number that would work is 97

526.30 round the nearest 10 dollar

Answers

526.60 rounded the nearest 10 dollar would be 530.00 dollars.

Your welcome.
It would be rounded to be 530.

Karyn proofread a 15 pages in 2 hours for $40.a. What is her proofreading rate per pages per hour?
b. How much does she receive on average per a page?

Answers

a. 8 pages per hour because 120 (2 hours) ÷15=8
b. $40÷15 (pages)=$2.70 (rounded)

Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the time by 30 minutes each day, how long will she practice on the seventh day? a. 140 minutes b. 210 minutes c. 240 minutes D. 300 minutes

Answers

As per arithmetic progression, Anna will practice on the seventh day for 240 minutes.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Anna practices on the first day for 1 hour

= 60 minutes

She increases the time by 30 minutes each day.

Therefore, on the 7th day she will practice for

= [60+(7-1)30] minutes

= 240 minutes

Learn more about an arithmetic progression here: brainly.com/question/24873057

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on day one she starts of with 1 hour so it will be 1+30x. X being the number of days so by the seventh day Anna would practice for 240 minutes. 

Find the standard equation of the circle that satisfies the conditions.Center (-1,-3), passing through the point (3,0)

Answers

Equation\ of\ circle\n\n\ r^2=(x-a)^2+(y-b)^2\n\n a,b- \ coordinates\ of\ center\ of\ circle\n\n\ (a,b)=(-1,-3)\n\n r^2=(x+1)^2+(y+3)^2\n\n\ Substituting\ point\ (3,0)\n\n r^2=(3+1)^2+(0+3)^2\n\n r^2=4^2+3^2\n\n r^2=16+9=25\n r=5\n\n Answer:\ \ 25=(x+1)^2+(y+3)^2
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