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 !
Answer:
7 Goals
Step-by-step explanation:
6 divided by 2 equals 3, So Clark scored 3 goals. 8 divided by 2 equals 4, So Kent scored 4 goals. 4 plus 3 equals 7.
I would recommend starting by turning 172 into 100+70+2. This makes it much easier to multiply it by 6.
(100+70+2) × 6 =
distributive property
(100×6) + (70×6) + (2×6) =
Simplify
600 + 420 + 12 =
Add it all together
1032
The answer would be 1032.
The school have to charge each candy bar for $0.80 cents to make a profit of $10 per box.
Answer:
$9.80
Step-by-step explanation:
C(x)=8.00 + 0.09x
x=20
0,09 x 20 = 1.80
8.00 + 1.80= 9.80
