Answer:
1195.22N.
Step-by-step explanation:
Mass: m =82.6 kg
Velocity: v= 16.4m/sec.
Distance: d = 9.29 metres.
Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².
Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.
9514 1404 393
Answer:
Step-by-step explanation:
You know the linear pair z° and 105° are supplementary angles, so ...
z = 180 -105 = 75
The other base angle of the isosceles triangle has the same measure, 75°. __
Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...
75° +75° +x° = 180° ⇒ x = 180 -150 = 30
The second relation gives ...
75° +x° = 105° ⇒ x = 105 -75 = 30
__
y° is supplementary to the left-side base angle, so is ...
y = 180 -75 = 105
Of course, you could also figure y from the symmetry of the figure.
The values of x, y, z are 30, 105, 75, respectively.
Since each student brings in 1 pound of unpopped popcorn...then there will be 25 pounds of corn! Since there are 1300 kernels to make a pound, you multiply 25 by 1300 = <span>32500, which is how many kernels. If every child brought 3 pounds: You would have to solve 25 * 3 = 75 pounds. Hope this helps!</span>
4x + 2y = 20
3x - y = 10
Multiplying second equation by 2.
6x - 2y = 20
Adding to the first,
10x = 40
x = 4
y = 3x - 10 = 3(4) - 10 = 2
Answer: (4, 2)
Check:
4(4) + 2(2) = 16+4 = 20, good
3(4) - 2 = 12 - 2 = 10, good
<span>The third spin is independent, so the probability is B. 1/3.
Hope that helped.
</span>
