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:
120, 114, 126
Step-by-step explanation:
Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.
Answer:
24 divided by 3/4 =32
i got it bc 3/4 as a decimal Is 0.75 so 24 divided by 0,75 is 32 :)
Step-by-step explanation:
Total number of trees n = 4 + 3 + 3 = 10. Count the number of each different trees. n1=4, n2=3, n3=3. Number of ways the landscaper plant the trees in a row is = 10 ! / ( 4! * 3! * 3! ) = 3628800 / ( 24 * 6 * 6 ) = 3628800 / 864 = 4200 ways.
Therefore, the trees can be planted 4200 ways
