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2 years ago

How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?

Mathematics

1 answer:

Elan Coil [88]2 years ago

3 0

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

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Your class is holdinga fundraiser for a local charity after the first week your class raised 1/8 goal after the second week your

n200080 [17]

Answer: $\dfrac{19}{40}$

Step-by-step explanation:

Given: Fraction of goal raised on first day = $\dfrac{1}{8}$

Fraction of goal raised after second day = $\dfrac35$

Now , Fraction of goal raised on second day = Fraction of goal raised after second day - Fraction of goal raised on first day

$=\dfrac35-\dfrac18\\\\=\dfrac{24-5}{40}\\\\=\dfrac{19}{40}$

Required fraction = $\dfrac{19}{40}$

7 0

2 years ago

The radius of a pizza dish is 12 inches. which expression would best describe the circumference of the pizza dish?

Elenna [48]

The circumference is 75.4

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3 years ago

What is 9 of 25% in the form of a whole number.

Yuliya22 [10]

I believe you are trying to say 25% of a number is 9, what is the number? in that case the answer is 36. just divide 9 by .25

8 0

3 years ago

I need help pretty please!

Naddika [18.5K]

Answer:

cos(z) = .3846153846 and angle z = 67.38°

Step-by-step explanation:

Side UV is corresponding to side YX. Side VW is corresponding to side YZ. Side UW is corresponding to side XZ.

Starting with the first corresponding pair, we are told that side UV is 36, and that side YX is 3/5 of that. So side YX is

$\frac{3}{5}*36=21.6$

We are next told that side VW is 39, so side YZ is

$\frac{3}{5}*39=23.4$

In order to find the cos of angle z, we need the adjacent side, which is side XZ. Side XZ is 3/5 of side UW. Right now we don't know the length of side UW, so we find it using Pythagorean's Theorem:

$39^2-36^2=UW^2$ and

$UW^2=225$ so

UW = 15

Now we can say that side XZ is

$\frac{3}{5}*15=9$

The cos of an angle is the side adjacent to the angle (9) over the hypotenuse of the triangle (23.4) so our ratio is:

$cos(z)=\frac{9}{23.4}$

which divides to

cos(z) = .3846153846

If you need the value of the angle, use the inverse cosine function on your calculator in degree mode to find that

angle z = 67.38°

3 0

2 years ago

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia

elena-14-01-66 [18.8K]

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

7 0

2 years ago