A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

Answers

Answer 1
Answer: The volume of the cylinder 1,570 square meter. This is calculated using the formula volume is equal to height times Pi times radius squared. We first solve the radius which is 5 meters times 4 equals to 20 meters, this is the diameter of cylinder. But we need the radius, so 20 meters divided by 2 is equals to 10. Then substituting the given figure to the formula,  Volume = 5 (3.14) (10), it will give us 1,570 square meter.

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Let x represent the number of pages left to be read in a book consisting of 780 pages.Which of the following is the domain of x?
A. The set of all integers between 0 and 750 inclusive

B. The set of integers

C.the set of whole numbers

D. The set of all real numbers between 0 and 750 inclusive

E the set of real numbers

Answers

Answer:

E.

Step-by-step explanation:

not sure sorry...anyone help this

3x^2-5/3x-1 - 2x^2-3x-2/3x-1

Answers

Answer:

3

x

2

16

x

6

/3

Step-by-step explanation:

Factor completely and then place the factors in the proper location on the grid.a 2 - a - 20

Answers

Answer:

The correct answer is (a+4)(a-5)

Step-by-step explanation:

We have the polynomial a^2-a-20

For the polynomials of the form ax^2+bx+c we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-20 and whose sum is b=(-1).

a^2-a-20=\na^2+(-5+4)(a)-20=\n=a^2-5a+4a-20

Because b=(-5)+4=(-1) and a.c=(-5).4=(-20)

Now we have to factor by grouping:

a^2-5a+4a-20=\n(a^2+4a)-(5a+20)=\na(a+4)-5(a+4)=\n=(a-5)(a+4)

Then, the correct answer is (a+4)(a-5)

The fully factored form of this expression would be
(A-5)(A+4).

The quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is A. 115/465.
B. 23/93.
C. 75/373.
D. 93/23 or 4 1/23.

Answers

 5/31 divided by 15/23 is 5/31 times 23/15
it means that the answer is 
B. 23/93. 

Simplify 8(7x – 1) + 4(x + 5).

Answers

Its 60x + 12. Just took the quiz.

8(7x-1)+4(x+5)

multiply; 8  x  7=

56x  +  -1  +  4x  +5

reorder the terms;

-1  +  5  +  56x  +  4x

Combine like terms; -1  +  5  =  4

4  +  56x  +  4x

Combine like terms again; 56x  +  4x  =  60x

4  +  60x


One end of a line segment has the coordinates (1, 3). If themiddle point is (5,8), then what are the coordinates of the
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)

Answers

Answer:

the answer is the letter D

Final answer:

By rearranging the midpoint formula, it can be determined that the other endpoint of the line segment is (9, 13) (option D) when one endpoint is (1,3) and the midpoint is (5,8).

Explanation:

This question relates to coordinate geometry, a branch of mathematics. In coordinate geometry, the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is determined by the mean of the x-coordinates and y-coordinates, meaning the midpoint (xm, ym) is given by ((x1+x2)/2, (y1+y2)/2). If you have one endpoint ((x1, y1) which is (1,3) in this case) and the midpoint (xm, ym which is (5,8) in this question), you can solve for the unknown endpoint (x2, y2) by rearranging the midpoint formula to x2 = 2*xm - x1 and y2 = 2*ym - y1. Substituting the given coordinates into the formulas, we find that x2 = 2*5 - 1 = 9 and y2 = 2*8 - 3 = 13. Therefore, the other endpoint of the line segment is (9,13), hence option D is the correct answer.

Learn more about Midpoint Formula here:

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