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Cloud [144]
3 years ago
8

Consider the rectangular prism below.

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width  

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

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Two sides of a triangle measure 8 centimeters and 13 centimeters which of the following could not be the length of the third sid
SOVA2 [1]
The answer is A because 13-9 equals 4
3 0
3 years ago
Which is the graph of f(x)= square root of x
insens350 [35]
Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

I hope this helps :))

4 0
3 years ago
Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and
Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is \frac{\sqrt{70}}{2}\ cm

The length of the rectangle is 2\sqrt{70}\ cm

Part b) Approximately values

The width of the rectangle is 4.2\ cm

The length of the rectangle is 16.7\ cm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

A=LW

we have

L=4x\ cm\\W=x\ cm

substitute the values in the formula

A=4x(x)

A=4x^2

A=70\ cm^2

so

70=4x^2

Solve for x

Divide by 4 both sides

\frac{70}{4}=x^2

square root both sides

x=(+/-)\frac{\sqrt{70}}{2}

The solution is the positive value

x=\frac{\sqrt{70}}{2}

therefore

<em>Exactly values</em>

L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm

<em>Approximately values</em>

L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm

6 0
3 years ago
A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates
KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}     (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0
3 years ago
Which graph represents f(x)=6cos(4πx) ?
lesya692 [45]

Answer:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Step-by-step explanation:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

6 0
3 years ago
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