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3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

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There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of th

miskamm [114]

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 $\times$ 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance $D$ , at a speed $s$ light takes time of 4.24 years.

To travel the distance $D$ , at a speed $0.90s$ , the person takes time:

$\dfrac{4.24}{0.90} = \bold{4.7\ years}$

So, the twin on Earth ages by 4.7 years.

7 0

3 years ago

How can you determine if a number is a rational number

Murljashka [212]

Rational numbers can be written as a fraction

7 0

3 years ago

What’s the answer? :) A? B? C? D?

kondor19780726 [428]

Answer:

1st of all- (OFF TOPIC) you are on canvas lol

2nd- not sure, maybe B or C. Sorry if it is wrong, and I hope I could help.

8 0

3 years ago

Read 2 more answers

The length of a rectangle is (3x-2) and its width is (2x+1). Find algebraic expressions to represent both the perimeter and area

Alenkasestr [34]

Answer:

Perimeter = 10x-2

Area = 6x²-x-2

Step-by-step explanation:

Perimeter=2L+2W

2(3x-2)+2(2x+1)

6x-4+4x+2

10x-2

Area=LW

(3x-2)(2x+1)

6x²+3x-4x-2

6x²-x-2

4 0

3 years ago

There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh

Mrac [35]

Answer:

$20.5\%$

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}$ ,

The $\frac{1}{5}$ represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The $\frac{4}{5}$ represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): $\binom{5}{2}=10$ .

Therefore, the probability the student gets two questions correct is:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}$

6 0

3 years ago