MATHEMATICS HIGH SCHOOL

Which type of transformation does NOT result in a figure that is congruent to the original one?

Answers

Answer 1
Answer: Dilation never does.
Reflection often doesn't.

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COLLEGE

Suppose you're adding 43 and 28 will you regroup? explain

Answers

Yes, since 43 is the bigger number, but in each number's ones place 8 is larger than 3, so you would have to regroup in the ones place.
HIGH SCHOOL

Convert 12°34'56” to decimal degree form. Round your answer
to four decimal places.

Answers

Answer: 12.7323 degrees

Step-by-step explanation:

We want to convert 12 degrees, 34 minutes and 56 seconds to degrees.

12 degrees will remain as 12 degree.

To convert 43 minutes to degree, it would be

60 minutes = 1 degree

43 minutes = 43/60 = 0.7167 degrees

To convert 56 seconds to degree, it would be

3600 seconds = 1 degree

56 seconds = 56/3600 = 0.01556 degrees

Therefore,

12°34'56” to decimal degree form would be

12 + 0.7167 + 0.01556 = 12.73226

Rounding up to four decimal places, it becomes

12.7323 degrees

Answer:

12.57555 rounded to 12.5756

Step-by-step explanation:

34'=34*1/60=0.56°

56''=56/1/3600=0.01555°

12°+0.56°+0.01555°=12.57555°

MIDDLE SCHOOL

You found a job that pays $12$12 per hour. After working for one year, you will get a 4%4% raise. What will be your new pay rate after one year?

Answers

12 x .04 = .48
New pay will be $12.48
So your rate is $12 per hour or 12/1. You need to find 4% of that to find your raise per day after a year. 

x/12  =  4/100

(we always put percentages over 100) 

multiply 12 by 4...=48  
Then divide by 100 to find 4% of 12

48/100=0.48  This is 4% of 12

REMEMBER: This is ONLY how much you got raised by, so you need to add $12 to that to find your rate per day after a year

Your new rate after a year is 12.48 per day. 

MIDDLE SCHOOL

Divide 72 into 2 groups so the ratio is 3 to 5

Answers

Answer:

Step-by-step explanation:

Let x = the number of rolls in group 1

Let y = the number of rolls in group 2

 

We know that the ration of rolls is 3 to 5, so we know that:

 

3x = 5y

x = 5/3 * y

 

We also know that the total number of rolls is 72, so we know that:

x + y = 72

 

Now we have two equations and two variables, so we can solve.

 

Using substitution on the second equation, we have this:

 

(5/3 * y) + y = 72

 

Now solve for y:

 

8/3 * y = 72

y = 72 * 3/8

y = 27

 

Now we can plug this value into the second equation to find the value of x:

 

x + y = 72

x + 27 = 72

x = 72 - 27

x = 45

 

Therefore, one group has 27 rolls, the other has 45.

 

You can prove that the ration is 3 to 5 by dividing the first value by 3 and the second value by 5:

27 / 3 = 9

45 / 5 = 9

Answer:

27 and 45

Step-by-step explanation:

3x +5x= 72

8x=72

x=9

3*9=27    (27/3=9)

5*9=45     (54/5=9)

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