Answer:
all options are correct.
Step-by-step explanation:
The correct options among all the options are:
- <em>Ancient mathematicians used trigonometry to find angles of triangles.</em>
Trigonometry is used to find the size of a missing side or angle in a right- angled triangle using the sine, cosine or tangent ratios.
- <em>Ancient mathematicians used trigonometry to track the position of the sun.</em>
It is also used in oceanography in calculating the height of tides in oceans.
- <em>Tangent was the first trigonometric relationship used by mathematicians.</em>
The three main functions in trigonometry are Sine, Cosine and Tangent.The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions.
- <em>Cosine was the first trigonometric relationship used by mathematicians.
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- <em>Sine was the first trigonometric relationship used by mathematicians.</em>
Answer:
1/2 ; 1/3 ; 1/6
Step-by-step explanation:
Given :
Ben ~ exp(1)
Max ~ exp (2)
Yolanda ~ exp(3)
Ben :
X ~ exp(1)
Max:
Y ~ exp(2)
Yolanda :
Z ~ exp(3)
Probability that Yolanda is served first :
P(Z < (X, Y)) = Z /(x + y + z) = 3 /(1 + 2 + 3) = 3/6 = 1/2
Probability that Ben is served before Yolanda :
P(X < Z) = 1/ (1 + 2) = 1/3
Expected waiting time for first person served :
First person served = 1
Total = (1 + 2 + 3) = 6
Expected waiting time; E(x) :
E(x) : 1 / 6
Answer:
B
Step-by-step explanation:
The equation is
y<=-x+1.
We test all and figure that B is correct.
-2<=-3+1
-2<=-2.
Correct!
So the answer is B
Hope this helps ;D
Answer: Parallel lines have equal slopes
If the slope of line s is -32 or -3/2, then the same applies to line t
Parallel lines have equal slopes but different y intercepts. These lines do not cross or intersect.
Answer:
point (-1, 2)
Step-by-step explanation:
Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)
The point-slope form is ...
y -k = m(x -h)
Comparing this to your given equation ...
y -2 = (-2/3)(x -(-1))
we see that ...
k = 2, m = -2/3, h = -1
The point on the graph is (h, k) = (-1, 2).