Answer:
F = 254.08N Θ = 72.03°
Step-by-step explanation:
First of all we find the resolution in both x and y axis
∑Fx = 170cos87 + 100cos46 = 78.36N
∑Fy = 170sin87 + 100sin46 = 241.70N
To find the resultant vector we use pythagorean theorem
F = √(∑Fx)² + ∑(Fy)²
F = √(78.36² + 241.70²)
F = √(64559.1796)
F = 254.08N
the angle between both force can be obtained using
tanθ = ∑Fy / ∑Fx
tanθ = 241.70 / 78.36
tanθ = 3.084
Θ = tan⁻ 3.084
Θ = 72.03°
Answer:
to change a decimal number to a percent you would take the number and put it over a hundred, right now that would be 2/10,
So you need to add another 0 to the end of your 2 to make it in the hundredths place,
now you have 0.20, which is 20/100 which equals 20%
Step-by-step explanation:
Answer:
x + y = 20
1.5x + 5y = 54.50
Solve the equations and get: x = 13 ∧ y = 7
Marcy bought 13 books and 7 CDs.
Answer:
y = 2x + 3
Step-by-step explanation:
the same slope would be 2x still
the 3rd and 4th choice are the only ones that have the correct slope
and 1 unit lower than 4 is 3
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes <u>decrease</u> the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more <u>recklessly</u> which could potentially <u>i</u><u>ncrease</u> the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
