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3 years ago

Why are there 27 cubic feet in one cubic yard

Mathematics

1 answer:

kobusy [5.1K]3 years ago

8 0

One cubic yard is equal to 27 cubic feet because one yard is equal to 3 feet

Solution:

Given that, there 27 cubic feet in one cubic yard

Yard and feet are units of distance

1 Yard (yd) is equal to 3 feet (ft). To convert yards to feet, multiply the yard value by 3.

The conversion factor for 1 yard to 1 feet is given as:

$1 \text{ yard } = 3 \text{ foot }$

Now find for 1 cubic yard . Cubic yard means yard raised to power 3

Therefore,

$1\ yard^3 = (3)^3\ feet^3\\\\1\ yard^3 = 27 feet^3\\\\1\ cubic\ yard = 27\ cubic\ feet$

Thus one cubic yard is equal to 27 cubic feet

Therefore, there are 27 cubic feet in one cubic feet

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if a 14 foot tree casts a 8 foot long shadow. how tall is a tree that casts a 4 foot long shadow?

kvasek [131]

7-foot

EXPLANAT

Given:

14 foot tree

8foot shadow

4foot shadow

Let h be the height of a tee that casts a 4 foot long shadow.

Using proportion;

14 foot = 8 ft shadow

h = 4 ft shadow

Cross - multiply

8h = 56

Divide both-side by 8

h = 7 foot.

Hence, the tree is 7-foot.

4 0

1 year ago

Angel works in a dentist’s office making $13.50 an hour. She works 40 hours per week. How much does she make in a year?

-Dominant- [34]

This is a 2 part question, so we will go step by step

Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.

First, let's make the equation, and we should multiply. Why?

Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.

Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)

and 13.50 is the number getting multiplied

Now we insert numbers into typical multiplication format

13.50 x 40 = ?

Now we solve

13.50 x 40 = 540

So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.

With a little help from Google, we can learn that there are in 52.1 weeks in a common year.

Now we do the same thing we did the last time and insert our numbers into the equation.

(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)

540 x 52.1 = ?

Solve

540 x 52.1 = 28,134

She makes 28,134 in a year

Hope this helped!

3 0

3 years ago

If x=2 ,y=12 and x=4,y=3,find n and k if y is inversely proportional to x and k is a constant

Setler [38]

question:

x=2 ,y=12 and x=4,y=3,find n and k if y is inversely proportional to x and k is a constant

answer:

k=12 x=3 n=4

explain:

that the answer because the question said find the k and x and n so I find them

8 0

2 years ago

The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Ostrovityanka [42]

Answer:

i) P(X<33) = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

Given that the random variable X = 33

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-30}{2} = 1.5$ >0

P(X<33) = P( Z<1.5)

= 1- P(Z>1.5)

= 1 - ( 0.5 - A(1.5))

= 0.5 + 0.4232

P(X<33) = 0.9232

Step(iii) :-

Given that the random variable X = 26

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-26}{2} = 3.5$ >0

P(X>26) = P( Z>3.5)

= 0.5 - A(3.5)

= 0.5 - 0.4990

= 0.001

P(X>26) = 0.001

5 0

3 years ago

4: 8 = 18: N WHAT IS THE ANSWER PO

UkoKoshka [18]

Answer:

Step-by-step explanation:

8N=72

N=9

4 0

3 years ago