Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m =
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = =
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
The answer is:
The correct option is
a)
Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:
Where,
c, is the hypothenuse.
a, is one triangle leg.
b, is the other triangle leg.
So, we are given the information:
So, calculating the resultant force (hypothenuse), we have:
Hence, the expression that would find the result velocity is:
a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]
Have a nice day!
Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:
Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:
Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.
Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.
Solve for F:
F ≈ 15.0°