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xxMikexx [17]
3 years ago
5

Using the distrubutive proberty an experstion equvalent to 45+72

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

solution:

45+72\\=(9\times 5)+(9\times 8)\\=9(5+8)\\=117

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Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

4 0
3 years ago
TWO TRUTHS ONE LIE
Ivenika [448]

Answer:

(3) A"B"C" can be mapped onto A'B'C' by rotating it 180 degrees

Step-by-step explanation:

well, the other two are true, so that only leaves one option, sorry if this is wrong

5 0
2 years ago
Find the third side in simplest radical form:<br> 8.<br> V34<br> Δ
Degger [83]

Answer:

c = 7√2

Step-by-step explanation:

Apply pythagorean theorem to find the third side.

Thus, c² = a² + b²

where, c is the third side and a and b are the other sides.

Plug in the values

c² = 8² + (√34)²

c² = 64 + 34

c² = 98

c = √98

c = √(49 * 2)

c = 7√2

4 0
3 years ago
I need the mean of 17, 19, 21, 23
4vir4ik [10]

Answer:

20

Step-by-step explanation:

to find the mean, it means to find the average.

steps:

first, you add up all the numbers.

then you divide that total number by the total number of numbers you have.

and that is ur answer!!

17+19+21+23=80          add up all numbers

80÷4=20                      divide total by the amount of numbers

The average/mean is 20.

plz give brainliesttttt

6 0
3 years ago
Read 2 more answers
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
taurus [48]

Answer: 34 meters.

Step-by-step explanation;

Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.

Step Two. Solve for width. This is w = 8.

Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). <em>This is 34 meters for perimeter</em>.

6 0
2 years ago
Read 2 more answers
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