The tension in the cable is given by the newton's first law will be 163.622 N.
<h3>What is newton's first law?</h3>
The summation of the force is equal to zero.
The formula is given as
ΣF = 0
Where m is the mass of the body and a is the acceleration.
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.
Then the tension in the cable will be
Let T be the tension in the cable.
T sin 29° + T sin 53° – 210 = 0
On simplifying, we have
T (sin 29° + sin 53°) = 210
T = 163.622 N
More about the newton's first law link is given below.
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The answer to this is ten.
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
-3(-4y+3)+7y
First multiply -3 by the terms in the parentheses
-3(-4y+3) = 12y -9
Your expression now looks like
12y -9 +7y
Then combine the terms containing the variable y
12y + 7y = 19 y
Your final answer is
19y - 9 (answer choice A)
Answer:
4 m
Step-by-step explanation:
The equation can be written ...
y = (x/4)² = (1/16)x²
where the divisor 4 is the horizontal scale factor that makes the parabola 8 m wide at y = 1 m.
This can also be written as ...
y = 1/(4p)x² = (1/16)x²
from which we can see ...
4p = 16
p = 4
In this form, p is the distance from the vertex to the focus, 4 meters.
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Another way to find the y-coordinate of the focus is to draw a line with slope 1/2 through the vertex. It will intersect the parabola at the point where the vertical distance to the directrix is the same as the horizontal distance to the focus. The y-coordinate of that point is the y-coordinate of the focus.
