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madam [21]
3 years ago
7

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A right rectangular pri

sm has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters. What is the surface area of the prism?
Mathematics
1 answer:
Alla [95]3 years ago
6 0

the surface area of the prism is 234mm^2 .

<u>Step-by-step explanation:</u>

Here we have , A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters.  We need to find  What is the surface area of the prism . Let's find out:

We know that surface area of the prism = 2(lb+bw+wl) . According to question we have following parameters as :

length = 15 mm\\width=3mm\\height=4mm

Putting these values to find area of prism we get:

⇒ Area = 2(lw+wh+hl)

⇒ Area = 2(15(3)+3(4)+4(15))

⇒ Area = 2(45+12+60)

⇒ Area = 2(117)

⇒ Area = 234mm^2

Therefore , the surface area of the prism is 234mm^2 .

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Cloud [144]

Answer:

44 hours

Step-by-step explanation:

Decreasing the people by a factor of 2 means we have 3 people

The job takes 6* 22 = 132 people hours

When we decrease the people, it will take more hours

132 people hours = 3 people * t hours

Divide each side by 3

132/3 = 3t/3

44 = t

It will take 44 hours

8 0
3 years ago
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba
Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25

And

z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0
3 years ago
Starting in 2011. the tax rate in Illinois changed to 5% of personal income Previous, the tax rate was 3% of personal income. Th
never [62]

Answer:

For the first one you would want to multiple the following:

Step-by-step explanation:

32,000 x 0.03 = 960

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BabaBlast [244]
The value of 4 is 4 hundredths.
5 0
3 years ago
Read 2 more answers
If angle B is two more than three times the measure of angle C, and angle B are
GalinKa [24]

Set up a system of equations:

B=2+3C

B+C=90

The variable B is already solved, so plug into bottom equation:

2+3C+C=90

2+4C=90

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C=22

Plug C back in:

B+22=90

B=68

So B is 68 degrees and C is 22 degrees

Hope this helped!

6 0
3 years ago
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