F1 . . . 100% of it = 900N is in the +x direction.
F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.
F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.
Total x-component: 900 + 530.3 - 520 = 1,950.3 N
Total y-component: 530.3 + 390 = 920.3 N
Magnitude of the resultant = √ (x² + y²)
= √(1950.3² + 920.3²)
= √4,650,070.09
= 2,156.4 N .
Angle of the resultant, measured counterclockwise
from the +x axis, is
tan⁻¹ (y / x)
= tan⁻¹ (920.3 / 1950.3)
= tan⁻¹ (0.4719)
= about 25.3° .
Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !
y = - 8x - 18
the equation of a line in ' slope-intercept form ' is
y = mx + c (m is slope and c the y-intercept )
here m = - 8 ⇒ y = - 8x + c
to find c substitute ( - 3 , 6 ) into the equation
6 = 24 + c ⇒ c = 6 - 24 = - 18
y = - 8x - 18 is the equation
9514 1404 393
Answer:
25/42 mi
Step-by-step explanation:
5/6 of 5/7 of a mile is ...
(5/6)(5/7 mi) = 25/42 mi
32,410/5=6482
6482*28=181496
181496/63360=2.86miles
Answer:
16x-8
Step-by-step explanation:
We need to calculate the total time. We are given two functions that when summed up will give you total time.
