Whys is it helpful to write a number as a product of primes

Answers

Answer 1

Answer: It is important to write a number as a product of primes because on many tests, you will be asked to write the "prime factorization". Also, any time you are asked a question about multiples or factors, you bet using prime factorization will get you your answer quicker!

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Complete the following proof.Given: m ∠XOY = m ∠WOV
m YZ = m ZW
Prove: m XZ = m ZV

Answers

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

{ If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW ------- (ii) {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV

Hence proved.

Answer:

Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.

Given: m YZ = m ZW

The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ

The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV

Then, m XZ = m ZV

Ratios and proportions... 7/9 and 140/180

Answers

7/9 = 7/9
140/180=7/9
they are proportional
the fractions + the same thing

What is the smallest negative integer? Explain.

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There is an INFINITE amount of numbers out there, including BOTH positive and negative.
So, the more closer you go to infinite (that is toward bigger numbers EX: -100,000,000) the smaller the number gets while in the positive direction, the closer the numbers are close to 0, the numbers are small (EX: 1)

Since there is an infinite amount of numbers, there is not really a definite answer to this question.

One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.

Answers

$Area \ of \ a \ Circle : \n \nA= \pi r^2 \n \n diameter : \ d_(1)= 9 \ ft \n radius : r_(1) =(d_(1))/(2)=(9)/(2)=4.5 \ ft \n \n d_(2)= 14 \ ft \n radius : r_(2) =(d_(1))/(2) =(14)/(2)=7 \ ft \n \nA_(1)= (4.5)^2 \pi=20,25 \ cdot 3.14 = 63.585 \ ft^2 \n \nA_(2)= 7^2 \pi=49 \cdot 3.14 = 153.86 \ ft^2 \n \n A_(2)-A_(1)= 153.86 - 63.585 = 90.275 \approx 90 \ ft^2$

Area of circle= πr²
r-radius

A1-area of table with diameter 9ft
A2-area of circle with diameter 14ft
d=2r

A1=π*(4,5)²=20,25π
A2=π*7²=49π

A2-A1=49π-20,25π=28,75π=90,275≈90ft²

Find two numbers that add up to 180

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There are many combinations of two numbers possible that give the sum as 180. Example, 177+3 = 180,174+6 = 180,177+9 = 180,etc. You can make as many combinations because its very general term for any two number to add upto 180.

5 milligrams equals how many grams

Answers

every milligram is equal to 1 thousandth of a gram, so there are 1000 milligrams in one gram. So 5 milligrams would be 5 thousandths of a gram, which simplifies to 1 two hundredth of a gram. So this number of grams:
$(1)/(200)$ of a gram

5 milligrams are equal to .005 grams.

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