Find the volume, to the nearest m3, of a cylinder with diameter 6 m and height 8 m.a.226 m3 c.207 m3 b.452 m3 d.151 m3

Answers

Answer 1
Answer:

ANSWER

a. 226m³

EXPLANATION

The volume of a cylinder is calculated using the formula:

Volume=\pi \: {r}^(2) h

where r is the radius and h=8m is the height of the cylinder.

The radius is half of the diameter.

This means that:

r = (d)/(2) = (6)/(2) = 3m

We plug in the values into the formula to get:

Volume=\pi * {3}^(2) * 8

Volume=72\pi

Volume=226.19 {m}^(3)

To the nearest cubic meters, the volume is 226 m³.


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Can someone help me with this question and explain it?

Answers

Answer:

m∠1 = 90°

m∠2 = 53°

m∠3 = 37°

Step-by-step explanation:

The given diagram shows three straight lines intersecting at one point.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Angle 1 is vertically opposite to the angle marked 90°. Therefore:

  • m∠1 = 90°

Angle 2 is vertically opposite to the angle marked 53°. Therefore:

  • m∠2 = 53°

Angle 3 is vertically opposite to the angle marked 37°. Therefore:

  • m∠3 = 37°

The letter of application is intended to

Answers

Letter of application is intended to land in your desired job or institute. Letter of application is a letter written to the institutions that a person wanted to be in. This will be tend the basis of the impression of the receiver, or the interviewers.

True or False: Certain irrational numbers can be written as fractions

Answers

Answer:

False

Step-by-step explanation:

It can be written as a decimal but not a fraction cause it will always terminate or repeat

Final answer:

The claim that certain irrational numbers can be written as fractions is false. Irrational numbers cannot be expressed as fractions while rational numbers can be. The statement is false.

Explanation:

By definition, irrational numbers cannot be written as fractions. Irrational numbers are numbers that, when time in a decimal form, neither terminate nor repeat. Examples of irrational numbers include sqrt(2) and π. On the other hand, fractions or rational numbers always terminate or repeat when written as a decimal.

Learn more about Irrational Numbers here:

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Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2 month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?

Answers

Answer:
difference in amount = $430

Explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease. 
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350

2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920

3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430

Hope this helps :)

What is 15% of 240 grams

Answers

Answer:

36 grams

Step-by-step explanation:

To do this, you first convert 15% into a decimal.

15% = 0.15.

Next, all you have to do is multiply 0.15 * 240 = 36 grams

Answer:

36 grams

Step-by-step explanation:

15 percent means .15. When you multiply .15 and 240, you get 36. So its 36 grams.

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

A) (2x + 1)(2x2 + 2x – 1)
B) (2x + 1)(4x3 + 2x – 1)
C) (2x + 1)(4x2 – 2x + 1)
D) (2x + 1)(2x2 – 2x + 1)

Answers

General form: a^3 + b^3 = (a + b) (a^2 -ab +b^2)

Now replace with a= 2x, b = 1

(2x)^3 + 1^3 = (2x + 1) [ (2x)^2 -(2x)(1) + 1^2) = (2x + 1) (4x^2 - 2x + 1)

Therefore, the answer is the option C)
(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)


C is answer