Answer:
318 mm2
Step-by-step explanation:
Please see the step-by-step solution in the picture attached below.
Hope this answer can help you. Have a nice day!
So, we know that a^2 + b^2 = c^2. Right? That is called the Pythagorean Theorem.
In this case. We can say that 39 is a, 40 is b, and x is c.
NOTE: It doesn't really matter whether 39 is a or b. a & b are just the two legs of the right triangle.
So, if we say that 39 is a, 40 is b, and x is c. We can plug it into the Pythagorean Theorem.
39^2 + 40^2 = x^2
I'll let you take it from there.
John is 31 and Jenny is 26
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, 
Standard deviation, 
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components


=0.03
From z- table we get

Therefore, we get







Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
<u>Answer</u>
The first student was right.
The length of the long side is at least 13 inches.
<u>Explanation</u>
The perimeter of any figure is the distance all round.
Perimeter of a rectangle = 2(l+w). Where l is length and w is the width.
2(l + w) ≥ 30
2{(x-3) + 2} ≥ 30
2(x-3+2) = 30
2(x - 1) ≥ 30
x - 1 ≥ 15
x ≥ 16
When x = 16,
l = 16-3
= 13 inches
The length of the long side is 13 inches. The first student was right.