MATHEMATICS MIDDLE SCHOOL

What radius of a circle is required to inscribe a square with an apothem of 3.536 inches?

Answers

Answer 1
Answer:

Answer:

The radius of the circle required is 5 inches

Step-by-step explanation:

we know that

The diagonal of the square is the diameter of the circle

The length side of the square is half the apothem

Let

a ----> the apothem

r ---> the radius of the circle (half the diagonal of the square)

Applying the Pythagorean Theorem

r^2=a^2+a^2

we have

a=3.536\ in

substitute

r^2=3.536^2+3.536^2

r^2=25\nr=5\ in
Answer 2
Answer:

Answer: C) 5 in

Step-by-step explanation:

Got this right on USA test prep

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When you convert 0.63 to a fraction which of the following could be the first step of the process
Write an even number between 7 and 16. Draw a picture and then write a sentence to explain why it is an odd number
1 Original price $150 markdown 40%2 original price $18.99 markdown 25%3 original price $95 markdown 10%4 original price $75 markdown 15%

How many eighty fours are in 672

Answers

Answer

Find out how many eighty fours are in 672.

To prove

Let us assume that the number of the 84 be x .

As given in the equation

Total values  given in the question be 672.

Than the equation becomes

84 × x = 672

Simplify the above equation

84x = 672

x = (672)/(84)

x = 8

Therefore the Numbers of eighty fours in 672 is 8 .

The number of eighty fours in 672 is 8

  • How many eighty fours are in 672
  • Let x represent the number of the 84 (can be expressed as 84 x X)

Further Explanation

And since we have 672 as the total value,

Therefore, you have:

84 x X = 672

84x = 672 (then determine the value of x)

X= (672)/(84)

X = 8

Thus, the number of eighty fours in 672 is 8.

Prove:

= 84 x 8

= 672

Notably, eighty fours is expressed as 84

You can also solve this question easily by following this step:

It is same as saying how many 84’s are in 672 (it means you should divide 672 and 84)

= (672)/(84)

= 8

Check out these 2 examples:

Example 1

How many eighty fours are in 4200 (same as how many 84’s are in 4200)

= (4200)/(84)

= 50

Prove:

= 84 x 50

= 4200

Example 2

How many eighty fours are in 840 (same as how many 84’s are in 840)

= (840)/(84)

= 10

Prove:

= 84 x 10

= 840

LEARN MORE:

KEYWORDS:

  • multiply
  • eighty fours are in 672
  • dividing
  • eighty fours are in 840
  • eighty fours are in 4200

A number n is 150% of number m. Is n greater than, less than or equal to m?

Answers

if n is 150% of m then n is larger by 50%.  They would be equal at 100%. 
I think the answer is equal to M, hope this helps you.

PLEASE HELP I GIVE THANKS

Answers


first one is B, second one is B, third one is D
1. B
2. B
3. D
If you want to find the decimal for say 7/11 do 7 divided by 11.

a sum of money was shared among Daniel Elliot and frank in the ratio 5:7:8 if franks share was $2,781 more than Daniels share what was the original sum of money shared among the three men ?

Answers

5x+7x+8x= 21x= 8x-5x= $2,781       8x= $2,786    x=$348.25   
Daniel- $1741.25
Elliot-  $2437.75
Frank- $2786


Total- $6965

Five times the difference of a number and 8 is 45.

Answers

The question is requiring that you write the given word problem expression as a mathematical expression. Let the required number be x, then the difference of the number and 8 is x - 8. Then, five times the difference of a number and 8 is 5(x - 8) = 45

5. Marc is assembling gift bags. For every 2 pencilshe places in the bag, he uses 3 stickers. Complete
the table to show the ratio of pencils to stickers.
Pencils
4
6
8
Stickers

Answers

Answer:

4 pencils = 6 stickers

6 pencils = 9 stickers

8 pencils = 12 stickers

Step-by-step explanation:

The unit rate is 2 pencils : 3 stickers

so there are 2 groups of 2 in four, so 3 stickers for 2 groups of 2 would be 6 bc 2 times 3 is 6
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