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4 years ago

Help me please !!!!!!

Mathematics

1 answer:

Svetllana [295]4 years ago

7 0

Answer:

256 ft^2
50 ft^2
25 ft^2
281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

B = (5 ft)^2 = 25 ft^2 . . . blank 3

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

total exposed area = (exposed prism area) + (pyramid lateral area)

= (prism area) - (pyramid base area) + (pyramid lateral area)

= 256 ft^2 - 25 ft^2 + 50 ft^2

total exposed area = 281 ft^2 . . . blank 4

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Answer:

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Step-by-step explanation:

The list of SI prefixes is attached. Each has an abbreviation that can be used with the abbreviation for the SI unit of interest.

<h3>Application</h3>

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2 years ago

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3 years ago

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Answer:

3/8 + 1/8

Step-by-step explanation:

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3 years ago

What is 1+4=5 2+5=12 3+6=21 what does 8 plus 11 equal

Paladinen [302]

This is a classic math problem, and it is not solved in a normal way.

1+4=5
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3+6=21
8+11=?

There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:

1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> 3*(6+1)=21 
8+11=? -> 8*(11+1)=96

This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.

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3 years ago

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

3 years ago