How do these results about area and perimeter of similar quadrilaterals compare with similar situations for triangles?

Answer:

Hii!!

Volume Of Sphere =[tex] \frac{4}{3} * π * r^3. [/tex]

Let r be 1cm, 3 cm, 6 cm.

So,

Volume of sphere 1 = [tex] \frac{4}{3} * 3.14 * 1^3. [/tex]

Volume of sphere 1 = 4.19 cm^3

Volume of sphere 2 = [tex] \frac{4}{3} * 3.14 * 3^3. [/tex]

Volume of sphere 2 = 113.04cm^3

Volume of sphere 3 = [tex] \frac{4}{3} * 3.14 * 6^3. [/tex]

Volume of sphere 3 = 904.32 cm^3

Volume of cylinders = [tex] π * r^2 * h. [/tex]

Let r be 1cm, 3 cm, 6 cm and h be 2cm, 6cm and 12cm respectively.

So,

Volume of cylinder 1 = [tex] π * 1^2 * 2. [/tex]

Volume of cylinder 1 = 6.28 cm^3

Volume of cylinder 1 = [tex] π * 3^2 * 6. [/tex]

Volume of cylinder 1 = 169.56 cm^3

Volume of cylinder 1 = [tex] π * 6^2 * 12. [/tex]

Volume of cylinder 1 = 1356.48 cm^3

HOPE IT HELPS!!!

BRAINLIEST PLS!!!!

We can write the volume of spheres with three different  radii as given below

[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3[/tex]

Also we can write the the volume of the cylinders as follows

[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]

[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]

[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]

Volume of a sphere with radius R is given by equation

[tex]\rm Volume \; of \; the \; sphere \; of\; radius\; R = \bold{4/3 \pi R^3 }[/tex]

[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 ........(1) \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 .........(2) \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3..........(3)[/tex]

Equation (1) (2) and (3) represent the volumes of three different spheres

Given that the heights of the cylinders are equal to the diameter of the spheres

so from this given condition we can write the following relations

[tex]\rm Height\; of \; first \; sphere = H_1 = 2R_1 \\\\ Height\; of \; second \; sphere = H_2 = 2R_2 \\\\Height\; of \; third \; sphere = H_3 = 2R_3 \\\\[/tex]

The volume of the cylinder is given by equation  (4)

[tex]\rm Volume \; of \; the\; cylinder = \pi R^2 H........(4) \\\\Where R = Radius \; of \; the \; cylinder \\\\H \; is \; the \; Height \; of \; the\; cylinder\\[/tex]

From  the given conditions of heights of  cylinders  and radius of the sphere.

We can write the the volume of the cylinders as follows

[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]

[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]

[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]

For more information please refer to the link given below

https://brainly.com/question/12748872

Answer:

6/7

Step-by-step explanation:

1) Keep, Change, Flip.

-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.

3/5 x 10/7

-The 7/10 is flipped and is now 10/7.

2) Now we multiply the top and bottom numbers.

30/35

3) Simplify.

30/35 = 6/7

- I divided by 5.

Answer:

x-intercept = (18/5,0)

y-intercept = (0,-2)

Step-by-step explanation:

I graphed it and found the intercepts

brainliest would be great

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

∵ PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

∴ S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

∴ 6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

∴ n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

∴ QS = 27

∵ QS = SR

∴ SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

∴ QR = 54 units

∴ The distance of QR is 54 units

Answer:

22 miles per gallon

Step-by-step explanation:

5.5 x 4 =

5 x 4 = 20

0.5 x 4 = 2

20 + 2 = 22

22 mi/ga

Answer:

75

Step-by-step explanation:

300% of 25 = [tex]\frac{300}{100}*25[/tex]

                   = 3 * 25

                  = 75

Answer:

So what is the question?

Step-by-step explanation:

Answer:

twelv

Step-by-step explanation:

12

Answer:

12

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:

8 ⟌ 9 6

Step 2:

The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:

1

8 ⟌ 9 6

Step 3:

Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.

1

8 ⟌ 9 6

8

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.

1

8 ⟌ 9 6

- 8

1

Step 5:

Move down the 2nd digit of the dividend (6) like this:

1

8 ⟌ 9 6

- 8

1 6

Step 6:

The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:

1 2

8 ⟌ 9 6

- 8

1 6

Step 7:

Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:

1 2

8 ⟌ 9 6

- 8

1 6

1 6

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.

1 2

8 ⟌ 9 6

- 8

1 6

- 1 6

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 96 divided by 8 calculated using Long Division is:

12

0 Remainder

Answer:

A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides

Answer:

the answer is b. -2. :)

Step-by-step explanation:

i took the test, i hope this helps <3

Answer:

A

Step-by-step explanation:

if you want the step by step, let me know (:

Answer:

a

Step-by-step explanation:

Answer:

They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.

Step-by-step explanation:

If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)

Given:

[tex]f(x)=12(0.82)^x[/tex]

where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

To find:

The remaining mg in her bloodstream after 2 hours.

Solution:

The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function

[tex]f(x)=12(0.82)^x[/tex]

Putting x=2, we get the remaining mg in her bloodstream after 2 hours.

[tex]f(2)=12(0.82)^2[/tex]

[tex]f(2)=12(0.6724)[/tex]

[tex]f(2)=8.0688[/tex]

Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.

Answer:

8.07

Step-by-step explanation:

...

Answer:

7

Step-by-step explanation:

1/3 of 6=2

2+5=7

Answer:

It is not proportional.

Step-by-step explanation:

Answer:

1.50 $

Step-by-step explanation:

Hope this helps!

Answer:

answer is A

Step-by-step explanation:

8/3 =   2.66666 (about 3) miles an hour

You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him

Hope this helps! :))

Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

Answer:

Hmm I think D but don't take my word for it just a guess

Step-by-step explanation:

Answer:

The answer is B. and C.

Answer:

i think it will be c

Step-by-step explanation:

Answer:

y=6

x=0

Step-by-step explanation:

X=(y-6)

y=(6-3x)

So For Y

y=6-3(y-6)

y=6-3y+18

add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6

and for X just plug in whats in (y)

x=(6-3x)-6

So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer:

The answer is Charlie.

Step-by-step explanation:

Answer:

the 3 dot AC, BC, BA

Step-by-step explanation:

Answer:

Answer answer answer

Step-by-step explanation:

Answer: 221.04 inches squared

Step-by-step explanation: