All categories

3 years ago

Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17

Mathematics

2 answers:

Svetllana [295]3 years ago

8 0

Answer:

length: 2 cubes
width: 1 cube
height: 2 cubes
volume: 4 cubes

Step-by-step explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

V = LWH = (2)(1)(2) = 4 . . . cubes

_____

For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

_____

Additional comment

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).

avanturin [10]3 years ago

5 0

Answer:

4

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is $\frac{1}{16}$

Multiply $\frac{1}{4}$ by 3 = $\frac{1}{64}$

Then multiply $\frac{1}{16}$ by $\frac{1}{64}$ = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

You might be interested in

100% with 8 equal parts

bulgar [2K]

Are you asking what the 8 equal parts are ? If so 100/8=12.5

4 0

3 years ago

Determine the value of s, the arc length (measured in inches) cut off in a circle with a radius of 3.4 inches by an angle with a

AleksandrR [38]

Answer:

Arc length s = 15.3 inches

Step-by-step explanation:

We know that length of an arc that subtends an angle θ radians at the center is given by

$s=r\times \Theta$

where

r is the radius of the circle

θ is the angle subtended in radians

Thus applying values we get $s=3.4\times \ 4.5radians$

thus s = 15.3 inches

4 0

3 years ago

Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row

vovangra [49]

Answer:

Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.

If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.

Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.

4 0

3 years ago

Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s

mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0

3 years ago

1. 15 is what percent of 40? 2. 15 is 30% of what number? 3. What number is 120% of 70?

Elis [28]

1. 15 is what percent of 40?
15 * 100 / 40 = 37.5
answer is 15 is 37.5% of 40

2. 15 is 30% of what number?
15 / 0.3 = 50
answer : 15 is 30% of 50

3. What number is 120% of 70?
120% = 1.2
1.2 + 1 = 2.2

2.2 * 70 = 154
answer: 154 is 120% of 70?

5 0

2 years ago