Answer:
80
Procedure in attached file
Hope it helps
<h3>
Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.
Answer:
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Step-by-step explanation:
Data provided in the question:
Distance between the center and Luke = 17 feet
Distance between the Inga and center = 25 feet
Frequency of rotation, f = 30 rpm
Now,
Angular speed, ω is given as = 2πf
thus,
ω = 2π × 30
or
ω = 188.49 rad/s
here the angular speed is independent of radius
Therefore,
Luke's angular speed = 188.49 rad/sec
Inga's angular speed = 188.49 rad/sec
Answer:
The equation of the line that passes through (1, 2) is y = - 2x + 4
Step-by-step explanation:
2x + y - 1 = 0
2x + y - 1 + 1 = 0 + 1
2x + y = 1
2x - 2x + y = 1
y = - 2x + 1
parallel lines have the same slope, so the equation line will be -2
plug in the point, y = mx + b (x, y)
y = (-2)x + b , (1, 2)
(2) = (-2)(1) + b
2 = -2 + b
2 + 2 = -2 + 2 + b
4 = b
y = - 2x + 4
