Since x=-1 and y=3
ax-2y=4
a(-1)-2(3)=4
-a-6=4
-a=10
a=-10
5x+by=-1
5(-1)+b(3)=-1
-5+3b=-1
3b=4
b=4/3
The measure of the acute angle that the wire makes with the ground is 63.27°.
The situation forms a right angle triangle.
<h3>How to find the angle of a right triangle?</h3>
The length of the wire is the hypotenuse of the right triangle.
The distance from the foot of the pole is the adjacent side of the right triangle.
Therefore,
cos ∅ = adjacent / hypotenuse
cos ∅ = 18 / 40
cos ∅ = 0.45
∅ = cos⁻¹ 0.45
∅ = 63.2563160496
∅ = 63.27°
learn more on right angle triangle here: brainly.com/question/14866099
#SPJ1
Answer: No, the events are not mutually exclusive
Work Shown:
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.51 + 0.79 - 0.66
P(A and B) = 0.64
Since the result is not zero, this means the events are not mutually exclusive.
Mutually exclusive events are ones that cannot happen at the same time. Example: getting a "2" and a "3" on the same roll of a number cube.
Answer:
He made a mistake in the second line.
Step-by-step explanation:
He factored out x out of 6-2x and 5+4x, which is not possible because there is not an x in both 6 and 5.
B is the answer to your question
