To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
Answer:
413
Step-by-step explanation:
236 ÷ 4 = 59
59 x 7 hrs = 413
Answer:
A number has the same digit in its hundreds place and its hundredths place. Let the digit be '1'. Hence, the the value of the digit in the hundreds place is 10,000 times greater than the value of the digit in the hundredths place
Step-by-step explanation:
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
Answer:
A, B and C
Step-by-step explanation:
To determine which ordered pairs are solutions, substitute the x and y coordinates into the system of equations and if the value equals the right side then the ordered pair is a solution
A (6 , 3 )
(3 × 6) - 3 = 18 - 3 = 15 ← correct, and
(6 × 6) - (2 × 3) = 36 - 6 = 30 ← correct
Hence (6, 3 ) is a solution
B (7, 6 )
(3 × 7) - 6 = 21 - 6 = 15 ← correct, and
(6 × 7) - (2 × 6) = 42 - 12 = 30 ← correct
Hence (7, 6 ) is a solution
C (8, 9 )
(3 × 8) - 9 = 24 - 9 = 15 ← correct, and
(6 × 8) - (2 × 9) = 48 - 18 = 30 ← correct
Hence (8, 9 ) is a solution
