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3 years ago

What is the answer to 7/12 plus 1/3

Mathematics

1 answer:

viva [34]3 years ago

4 0

Answer: 11/12

Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.

The fraction 7/12 already has a 12 in the denominator so we leave it alone.

To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

Now we are adding like fractions.

To add like fractions, we simply add across the numerators.

7/12 + 4/12 = 11/12

Therefore, 7/12 + 1/3 = 11/12.

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

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step 2

Find the volume of the cone

The volume of the cone is given by

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

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

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4 years ago

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inna [77]

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If I didn't answer correctly then I don't understand the question.

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