MATHEMATICS HIGH SCHOOL

If a semi circle has a diameter of 5 m what is the area?

Answers

Answer 1
Answer:

Answer:

Exact answer = 10.41666666666666666666666666666pi

Estimated answer = 32.70938

Step-by-step explanation:

Semi circle formula: 1/2 * 4/3 * pi * r^3

r = 2.5

1/2 * 4/3 * pi * 2.5^3

2/3 * pi * 2.5^3

2/3 * pi * 15.625

10.416..... * pi

Exact answer = 10.417pi

We can estimate pi as 3.14

So, 10.417 * 3.14 = 32.70938

Exact answer = 10.41666666666666666666666666666pi

Estimated answer = 32.70938

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Find the value of Z in the following equation: 8Z = 64.a. 72B. 8C. 512D. 56

Solve the equation for x
3/10x-1/5=1

Answers

Answer:

x=4

Step-by-step explanation:

(3)/(10)x-(1)/(5)=1\n \n(3)/(10)x=(6)/(5) \n3x=12\nx=4

Find the measures of 1 and 2

Answers

Answer:

1 ) ∠1 = 105    ∠2 = 75

2) ∠1 = 50     ∠2 = 50

Step-by-step explanation:

I need help on 1-8 ..

Answers

Answer:

To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.

Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Answer:

He must save for 14 paychecks.

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by this machine in one year?

Answers

52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items

I need help on this question

Answers

Answer:

C

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 5x² - 3 - ( x² - 4x - 8) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

= (5x² - x² ) + 4x + (- 3 + 8)

= 4x² + 4x + 5

Answer:

The answer is C. (f-g)(x) simplifies to 4x²+4x+5
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