Answer:
6
Step-by-step explanation:
Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.
Note: c is the hypotenuse of the triangle.
18 + 18 = c^2
= 36 = c^2
Therefore, c = 6.
Answer:
Step-by-step explanation:
The length of one revolution of the sprocket is ...
C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
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There are 12 inches in a foot, so the number of feet is ...
30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.
The graph has to be a straight line that pass through the origin (0,0)
Hello,
If 1 black shoe is selected from a bin of 6 black shoes and 4 brown shoes and not replaced, then there are 5 black shoes and 4 brown shoes remaining. To find the probability that the a black shoe will be selected out of 5 black shoes and 4 brown shoes, we divide the number of black shoes over the total number of shoes (Each selection of a shoe is independent).
Doing this, we get 5 / (5+4) = 5/9 ≈ 0.55
The probability that a second shoe selected will be black is 0.55.
Hope this helps!
