All categories

2 years ago

A workbox has the following interior dimensions:

Mathematics

2 answers:

Elena-2011 [213]2 years ago

8 0

35 square inches. To find volume measure length by width by height

pav-90 [236]2 years ago

5 0

Answer:

the interior volume is 35 cubic inches

Step-by-step explanation:

Hello , I can help you with this.

to find the volume of the workbox you must multiply its dimensions,it is

Volume=length*width*height

also, you need convert the mixed number into fraction numbers

remember

$a\frac{b}{c}=\frac{ac+b}{c}\\$

Step 1

convert the mixed numbers into fraction numbers

length

4 inches=4 inches

width

$2\frac{1}{2}\ inches= \frac{2*2+1}{2}\ inches=\frac{5}{2}\ inches \\$

height

$3\frac{1}{2}\ inches= \frac{3*2+1}{2}\ inches=\frac{7}{2}\ inches \\$

Step 2

put the values into the equation

Volume=length*width*height

remember the unit( in)

$Volume=\frac{4}{1} *\frac{5}{2}*\frac{7}{2}\\Volume= \frac{4*5*7}{1*2*2}\\ Volume=\frac{140}{4} \\Volume=35\\$

in*in*in= cubic in

so, the interior volume is 35 cubic inches

have a nice day.

You might be interested in

Let x = a + bi and y = c + di and z = f + gi Which statements are true? Check all of the boxes that apply. x + y = y + x (x × y)

Feliz [49]

The usual rules of addition and multiplication apply to complex numbers as well as to real numbers. The true statements are ...

x + y = y + x . . . . . . . . . . . . . . . commutative property of addition
(x × y) × z = x × (y × z) . . . . . . . . associative property of multiplication
(x + y) + z = x + (y + z) . . . . . . . . associative property of addition

5 0

2 years ago

Read 2 more answers

N 2004, the General Social Survey (which uses a method similar to simple random sampling) asked, "Do you consider yourself athle

zmey [24]

<u>Answer-</u>

The standard error of the confidence interval is 0.63%

<u>Solution-</u>

Given,

n = 2373 (sample size)

x = 255 (number of people who bought)

The mean of the sample M will be,

$M=\frac{x}{n} =\frac{255}{2373} =0.1075$

Then the standard error SE will be,

$SE=\sqrt{\frac{M\times (1-M)}{n}}$

$SE=\sqrt{\frac{0.1075\times (1-0.1075)}{2373}}=\sqrt{\frac{0.0959}{2373}}=0.0063=0.63\%$

Therefore, the standard error of the confidence interval is 0.63%

6 0

2 years ago

General solution of equation sin x + sin 5x = sin 2x + sin 4x is

zaharov [31]

Answer:

x=nπ3, n∈I

Step-by-step explanation:

sin x + sin 5x = sin 2x + sin 4x

⇒⇒ 2 sin 3x cos 2x = 2 sin 3x cos x

⇒⇒ 2 sin 3x(cos 2x - cos x) = 0

⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3 , n∈I, n∈I

or cos 2x−cos x=0 ⇒ cos 2x=cos xcos 2x-cos x=0 ⇒ cos 2x=cos x

⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3 , n∈I, n∈I

But solutions obtained by x=2nπx=2nπ , n∈I, n∈I or x=2nπ3x=2nπ3 , n∈I, n∈I are all involved in x=nπ3x=nπ3 , n∈I

7 0

2 years ago

Four classmates were asked to decorate 1/5 of the bulletin board in a classroom. They divided the section to be decorated equall

svetoff [14.1K]

I need this answer too

8 0

2 years ago

Read 2 more answers

Eliza brought 3 pans of homemade fruit bars to school. Her classmates ate 7/12 of each pan. Eliza gave 1 whole pan of the leftov

-BARSIC- [3]

To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars.
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.

And she brought 3/12 home. You can simplify that into 1/4.

3 0

2 years ago