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jeka94
4 years ago
12

What is the total surface area of this composite solid ?

Mathematics
1 answer:
emmainna [20.7K]4 years ago
6 0
Each of the small 12 identical blocks has dimensions 4 by 5 by 7 inches.

Together they form a larger block of:

width w=5 in
length l = 7 in+7 in+7 in = 21 in 
height h = 4 in + 
4 in + 4 in + 4 in=16 in

The total area of the block is:

(front face+back face)+("floor" face + "ceiling" face) + 2 side faces
=
16 * 21 + 16*21 + 5*21+ 5*21 + 5*16+5*16  (square inches)
=
336+336+105+105+80+80  (square inches)

= 672+210+160 (square inches)

=1,042 square inches


Answer: 1,042 square inches

You might be interested in
The base of a cylinder has a radius of 5 cm. What is its area?
Oksi-84 [34.3K]

Answer:

157

Step-by-step explanation:

formula- 2 x 3.14 x 5 squared

6.28 x 5 squared

6.28 x 25

157

4 0
4 years ago
46+ 2/7w<br> w= -1/2<br> You don't need to show your work
Tomtit [17]
46.1428 or -46(3/14)
3 0
3 years ago
Charlie’s portfolio has an expected annual return at 10%, with an annual standard deviation at 12%. Assume his investment return
Deffense [45]

Answer:

There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

Step-by-step explanation:

This is problem is solving using the Z-score table.

The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.

What is the probability that the actual return will be between the mean and one standard deviation above the mean?

One measure above the mean is Z = 1

The mean is Z = 0

This means that this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = 0.

Z = 1 has a pvalue of 0.8413.

Z = 0 has a pvalue of 0.50.

This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

3 0
4 years ago
Which number(s) below belong to the solution set of the inequality? Check all that apply.
ValentinkaMS [17]
X=28
4x=112
/4     /4
x = 28
8 0
3 years ago
Read 2 more answers
An expert shot bits the target 95% of the time. What are the probabilities that he will miss the target: at least one time durin
Mkey [24]
If he hits the target 95% of the time, then you could say that he has a probability of 0.95, or 95% of hitting the target. Let p = the probability of hitting the target or p = 0.95. So you are interested that he misses the target at least once - this could be thought of as not getting a perfect score. So to get a perfect score, it is 0.95 for each target -- 0.95^15 for 15 targets is 0.464. Thus to miss at least one target he needs to NOT have a perfect score -- 1 - 0.464 = 0.536, or 53.6% of happening. Enjoy
3 0
3 years ago
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