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3 years ago

Find each pair of similar solids, find the ratio of the volume of the first figure to the volume of the second

Mathematics

1 answer:

Vlad1618 [11]3 years ago

7 0

Step-by-step explanation:

Scale factor = 4/3. Therefore radius if larger cone = 4r/3 where r is the radius of the smaller cone and height of larger cone = 4h/3 where h is the height of the larger cone.

So ratio of volumes = r^2 * h/(4r/3)^2 * 4h/3) = 9/16 * 3/4 = 27/64

30 is a similar process except it's cylinders so find the scale factor and go on with that problem.

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Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 88 wings for \$7$7. Buffal

Ksivusya [100]

Answer:

Buffalo mild wings offers the lowest price per wing ($0.83).

Step-by-step explanation:

Let us find unit price per buffalo wing of each restaurant.

$\text{Unit rate for buffalo bills}=\frac{\$7}{8\text{ wings}}$

$\text{Unit rate for buffalo bills}=\frac{\$0.875}{\text{ wing}}$

Upon rounding our answer to nearest cent we will get,

$\text{Unit rate for buffalo bills}=\frac{\$0.88}{\text{ wing}}$

Therefore, buffalo bills offers each wing for $0.88.

$\text{Unit rate for buffalo mild wings}=\frac{\$10}{12\text{ wings}}$

$\text{Unit rate for buffalo mild wings}=\frac{\$0.83333}{\text{ wing}}$

Upon rounding our answer to nearest cent we will get,

$\text{Unit rate for buffalo mild wings}=\frac{\$0.83}{\text{ wing}}$

Therefore, buffalo mild wings offers each wing for $0.83.

$\text{Unit rate for wingers}=\frac{\$17}{20\text{ wings}}$

$\text{Unit rate for wingers}=\frac{\$0.85}{\text{ wing}}$

Therefore, wingers offers each wing for $0.85.

We can see that buffalo mild wings offers the lowest price per wing that is $0.83 per wing.

3 0

3 years ago

Type the missing number in this sequence: –2, –4, –8, , –32, –64 Questions

Charra [1.4K]

Answer:

-16

Step-by-step explanation:

The sequence pattern is ×2

-4 × 2 is -8

-8 × 2 is -16

-16 × 2 is -32

4 0

3 years ago

Read 2 more answers

The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a

liraira [26]

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

$P = 1200 = 2L + 3w$

Solve for L

$1200-3w = 2L$

$L=600-\frac{3w}{2}$

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

$A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}$

$A=-\frac{3w^2}{2}+600w$

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

$W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200$

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

$1200 = 2L + 3(200)$

$L=300$

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

5 0

3 years ago

Plz Help!! With 5,6,7,8

strojnjashka [21]

6 is 9.088 because it said it for u

8 0

4 years ago

a building with a height of 14 m casts a shadow that is 16m long while a taller building casts a 24 meter long shadow. what is t

MissTica

26 meters. Hope this helps!

5 0

3 years ago