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Veseljchak [2.6K]
3 years ago
10

The dimensions of a rectangular prism are length is 2 1/4 feet width is 1 foot and height is 1 1/4 feet and the length of the si

des of a small cube are 1/4 foot each. How many small cubs can be packed in the rectangular prism.
Mathematics
2 answers:
miskamm [114]3 years ago
5 0

Answer: A - 30 cubes

B - Volume of prism =  feet³

Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,

Length =  =  feet

Width = 1 foot

Height =  =  feet

Thus, the volume of the prism = Length × Width × Height

i.e. Volume of the prism =  × 1 ×  =  feet³

Now, the side of the cube =  foot each.

Volume of the cube =  =  feet³

Luba_88 [7]3 years ago
4 0
the answer is 30 please press thanks
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What are these questions i need help
Over [174]

The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

<h3>What are quadratic equations?</h3>

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

<h3>How to determine the other roots of the equation?</h3>

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

Read more about roots of equation at

brainly.com/question/776122

#SPJ1

5 0
1 year ago
On a loan of $1200 at 15% annual interest, Shirley had to pay $135 interest. For how many months did she have the loan?
natulia [17]

Answer:

<u><em>9 months</em></u>

Step-by-step explanation:

Principal= P= $1200

Rate=R= 15%

Interest= I= $135

Time= T= ?

I=P*R*T/100

135= 1200*15*T/100

135*100=18000*T

13500/18000=T

T= 0.75 years

T= 0.75*12= 9 months

3 0
3 years ago
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A chef kept track of the number of apples people ate last week in his cafeteria. The results are shown here.
n200080 [17]
The correct answer is C) 10
5 0
3 years ago
The midpoint of line XZ is (2,-5). One endpoint is X(12,-5). Find the coordinates of the other endpoint Z
Inga [223]

Answer: (-8,-5)

Step-by-step explanation:

6 0
2 years ago
Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0
3 years ago
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