Answer:
x
=
1
+
i
√
2
,
1
−
i
√
2
Step-by-step explanation:
Given:
Composite figure.
The figure splitted into two shapes.
One is vertical cuboid and other is horizontal cuboid
To find:
Total surface area of the figure
Solution:
<u>Vertical cuboid:</u>
Length = 14 inches
Width = 12 inches
Height = 24 inches
Surface area = 2(lw + wh + lh)
= 2(14 × 12 + 12 × 24 + 14 × 24)
= 2(168 + 288 + 336)
Surface area = 1584 square inches
<u>Horizontal cuboid:</u>
Length = 14 inches
Width = 10 inches
Height = 30 - 12 = 18 inches
Surface area = 2(lw + wh + lh)
= 2(14 × 10 + 10 × 18 + 14 × 18)
= 2(140 + 180 + 252)
Surface area = 1144 square inches
Total surface area = 1584 + 1144
= 2728 square inches
The total surface area of the figure is 2728 square inches.
Using it's concept, the probabilities are given as follows:
19. A. 1/3.
20. F. 1/6.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, there are 1 + 1 + 3 + 4 + 3 = 12 papers. 4 have a score of 6, hence, in item 19, the probability is:
p = 4/12 = 1/3.
Which means that option A is correct.
2 papers have a score greater than 12, hence the probability in item 20 is given by:
p = 2/12 = 1/6.
Which means that option F is correct.
More can be learned about probabilities at brainly.com/question/14398287
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The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
<h3>How to determine the inverse of the function?</h3>
The function is given as:
f(x) = 9x + 7
Express f(x) as y
y = 9x + 7
Swap the positions of x and y in the above equation
x = 9y + 7
Subtract 7 from both sides
9y = x - 7
Divide through by 9
y = x/9 - 7/9
Express as an inverse function
f-1(x) = x/9 - 7/9
Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
Read more about inverse functions at:
brainly.com/question/14391067
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O.2 0.2 0.2 the answer is 0.2
yeah
