You would split out the velocity into x and y components.
X component: 5.6cos(73)= 1.637i
Y component: 5.6sin(73)= 5.355j
Therefore velocity in its component form is 1.637i + 5.355j ft/s
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Ok sure! Let's start with the marbles first. We have one red one blue and one green. There is a red and a blue cube. All we do is list the possible combinations of one marble and one cube. The answer would be : 1 blue marble, 1 blue cube. 1 red marble, 1 blue cube. 1 green marble, 1 blue cube. Then again but with the red cube. So in all, there are 6 possible combinations. Hope this helps. ☺️
I think it is X equals 20 because there’s 180 degrees I a triangle and 100+40= 140 and you have e 40 remaining and since it’s 2x you do 40 divided by 2 which is 20 do the inverse to check
Answer:
The Answer is: B. 79% and 89%
Step-by-step explanation:
Subtract 11% from 89 and 100 to get the range:
89 - (89*.11) =
89 - 9.79 = 79.21
100 - (100*.11) =
100 - 11 = 89
