Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and 
so we fill in the formula accordingly and then simplify:
cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:
I'm not sure why you have 7/2 there...
9x - 5y = 29....when x = 1
9(1) - 5y = 29
9 - 5y = 29
-5y = 29 - 9
-5y = 20
y = 20/-5
y = -4 <==
Answer:
Discrete Distribution.
Step-by-step explanation:
For each widget, there are only two possible outcomes. Either they develop paint cracks, or they do not. The probability of a widget developing paint cracks is independent of any other widgets, which means that the binomial probability distribution, which is a discrete distribution, is used to solve this question. Thus the answer is a Discrete Distribution.
Answer:
2.30
Step-by-step explanation:
The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...
sin(A) = a/c
a = c·sin(A) = 3·sin(50°)
a = BC ≈ 2.2981 ≈ 2.30
Answer:
see explanation
Step-by-step explanation:
the ratio of the opposite interior angles = 8 : 9 = 8x : 9x
The exterior angle of a triangle = sum of the opposite interior angles, hence
8x + 9x = 119
17x = 119 ( divide both sides by 17 )
x = 7
8 parts = 8x = 8 × 7 = 56
9 parts = 9x = 9 × 7 = 63
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 angles from 180 for third angle in triangle
180° - (56 + 63)° = 180° - 119° = 61°
The 3 angles of the triangle are 56°, 61°, 63°
