Answer:
261∠36° Newtons
Step-by-step explanation:
A straightforward way to find the resultant is to add the x- and y-components of the forces:
r = 300(cos(-30°), sin(-30°)) +180(cos(45°), sin(45°)) +250(cos(135°), sin(135°))
= (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)
= (150√3 -35√2, -150 +215√2)
≈ (210.310, 154.056)
≈ 260.698∠36.22°
The resultant is approximately 261 Newtons at an angle of 36°.
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From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).
13.3
Since 3 is LESS than 5 we round down to 13.
sinA+sinB+sinC
=2sin(A+B)/2cos(A-B)/2+sin C
=2sin(pi-C)/2cos(A-B)/2+2sin C/2cosC/2
=2cosC/2(cos(A-B)/2+cos(A+B)/2)
=4 cos A/2 cos B/2 cos C/2
= RHS
1/4 of 12 simply means that if there are 4 equal quarters in 12, how many would be in each of those quarters, or 1/4*12 or 12/4. 12 divided by 4 means that the 12 is on the top and 4 is on the bottom, meaning 12/4.
Answer:
Step-by-step explanation:
the areas are the same, the outer squares of Q are the ones missing in the center
