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wlad13 [49]
1 year ago
11

(6 + 7) + 8 = 21

Mathematics
1 answer:
Mamont248 [21]1 year ago
7 0

Answer:

6 + (7 + 8) = 21

Step-by-step explanation:

the associative property of addition is: (a + b) + c = a + (b + c)

So the equivalent addition sentence would be:

(6 + 7) + 8 = 6 + (7 + 8) as they both equal 21

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

V=\dfrac{1}{3}\pi r^2h

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

V=\dfrac{1}{3}\pi (6)^2(9)

V=\pi (36)(3)

V=108\pi

Therefore, the volume of the figure is 108\pi sq. units.

7 0
3 years ago
You are designing a staircase to reach a second floor that is 113" above the ground floor of a building. The owner of the buildi
gtnhenbr [62]

Answer:

Step-by-step explanation:

total height, H = 113 inches

height of each stair case, h = 7.25 inches

Number of stair case, n = total height / height of each stair case

n = 113 / 7.25 = 15.6

7 0
3 years ago
Evaluate the expression 2/5 divided by 1/5 plus 4/5 divided by 1/3
Anna007 [38]

Answer:

The answer I got is 4 2/5.

Step-by-step explanation: 2/5 divided by 1/5 is 2. 4/5 divided by 1/3 is 2 2/5. 2 plus 2 2/5 is 4 2/5.

6 0
3 years ago
20. Lee uses Bill Payer from his bank account to pay his internet bill. Lee pays the same amount each month.
NARA [144]
It's the same amount each month, for a year. So:
total money ÷ times money was taken out= how much has been taken out.

$600÷12=50
3 0
3 years ago
PLEASE HELP ME OUT..........
Vlad1618 [11]
Here is your answer

\bold{x=12}

REASON:

Concept used: The opposite sides of a parallelogram are equal.

So, in above given figure

3x+7=5x-17 (measures of opposite sides)

5x-3x= 17+7

2x= 24

x= 24/2

x= 12

HOPE IT IS USEFUL
6 0
3 years ago
Read 2 more answers
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