a rectangular prism is completely packed with 84 cubes of edge length 1 over 3 inch without any gap or overlap

1 answer:

5 0

The volume of a cube is s^3, where s is the length of a side.

If you have 84 cubes with sides of 1/3 in, the total volume is:

V=84(1/3)^3 in^3

V=84/27 in^3

V=28/9 in^3

V≈3.11 in^3 (to nearest hundredth of a cubic inch)

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Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 poin

fgiga [73]

All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle

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4 years ago

Read 2 more answers

In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following s

monitta

Answer:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Step-by-step explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a merchant purchases goods from Asia but not from Europe and $A \cap B$ is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

$B = b + (A \cap B)$

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing $A \cap B$ , that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

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3 years ago

Question #3) 3 times of 5 feet inch=____feet ____ inches

Kamila [148]

I assume that you mean 3 times 5 feet means how many feet and inches

so the answer is 5 feet and blank inches

or 12 inch in 1 feet so 12 times 5=60 so 60 inches

or you may have forgotton to put a number before the first inch word like 5 feet 3 inch

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3 years ago

In 1995, there were about 70,200 cats registered with the cat franciers association. Of these, about 44,700 were persians. What

Doss [256]

Answer:

reqired part of registered cats were persian=0.363247

Step-by-step explanation:

reqired part of registered cats were persian= $\frac{70200-44700}{70200}$