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3 years ago

if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr

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Answer:

Option c.) the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.

Step-by-step explanation:

step 1

Find the volume of one ball

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1.5\ in$

$V=\frac{4}{3}(3.14)(1.5)^{3}=14.13\ in^{3}$

therefore

The volume of two balls is

$(2)*14.13=28.26\ in^{3}$

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=1.5\ in$

$h=1.5*4=6\ in$

substitute

$V=(3.14)(1.5)^{2}(6)=42.39\ in^{3}$

therefore

The wasted space with the cylinder is equal to

$42.39\ in^{3}-28.26\ in^{3}=14.13\ in^{3}$

step 3

Find the volume of the square prism

The volume of the square prism is equal to

$V=b^{2}h$

we have

$b=1.5*2=3\ in$

$h=1.5*4=6\ in$

substitute

$V=(3)^{2}(6)=54\ in^{3}$

therefore

The wasted space with the prism is equal to

$54\ in^{3}-28.26\ in^{3}=25.74\ in^{3}$

step 4

Find the difference of the wasted space

$25.74\ in^{3}-14.13\ in^{3}=11.61\ in^{3}$

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if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person​

if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person