MATHEMATICS HIGH SCHOOL

What is the value of the expression when a = 5 and b = 3? 4a^2 5b^3a. 55
b. 74
c. 81
d. 145

Answers

Answer 1
Answer: 4a^25b^3\n\nsubtitute\ the\ values\ of\ a=5\ and\ b=3\ to\ the\ expression:\n\n4(5^2)\cdot5(3^3)=4(25)\cdot5(27)=100\cdot135=\boxed{13,500}

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what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse.  So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The  tennis court  is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

 = 15² + 20²

 = 225 + 400

 = 625

Diagonal = √625 = 25 feet

Therefore  the diagonal of a non-regulation tennis court = 25 feet

Mr Morris earns $3500 per month. He deposits 2/7 of his salary every month. How much money will he deposit in 5 month.

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5000, take 3500 multiplied by 2/7 to find the amount of money deposited per month which is 1000 then multiply it by 5 to find the deposit over 5 months
3500 x 2/7= 1000
1000 x 5 = 5000

He will deposit $5000 in 5 months

WHAT ARE THESE NOTES

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Music notes? Blah blah blah blah

2 + 2 + 2 + 2 + 2 + 2 + 2

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