Answer:
60° and 30°
Step-by-step explanation:
I'm going to assume you mean complementary angles.
Complementary angles are angles that form 90° or a right angle
From the question, it is saying that
(5x) +(4x-18) = 90
To work out x, solve the equation
9x-18 = 90
9x = 108
x = 12
Therefore the angle of 5x is 5x12 or 60° and the angle of (4x-18) is going to be 4x12-18 = 30°
Answer:
P(first marble will be green and the second will be green as well)= 5/22
Step-by-step explanation:
A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.
Total number of marbles= 2+6+4
=12
P(first marble is green)=no. of green marbles/total number of marbles
= 6/12
= 1/2
P(second marble is green and we didn't put the first marble back)
=no. of green marbles left/total marbles left
= 5/11
Hence, P(first marble will be green and the second will be green as well)
=
= 5/22
Answer:
what?????????????????????????
Answer:
around 30
Step-by-step explanation: dont quote me though
Answer:
A = √29
Step-by-step explanation:
The short of it is that ...
A² = 2² + 5² = 29
A = √29
_____
<u>Amplitude</u>
If you expand the second form using the sum-of-angles formula, you get ...
Asin(ωt +φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Comparing this to the first form, you find ...
c₂ = 2 = Acos(φ)
c₁ = 5 = Asin(φ)
The Pythagorean identity can be invoked to simplify the sum of squares:
(Asin(φ))² + (Acos(φ))² = A²(sin(φ)² +cos(φ)²) = A²·1 = A²
In terms of c₁ and c₂, this is ...
(c₁)² +(c₂)² = A²
A = √((c₁)² +(c₂)²) . . . . . . . formula for amplitude
_____
<u>Phase Shift</u>
We know that tan(φ) = sin(φ)/cos(φ) = (Asin(φ))/(Acos(φ)) = 5/2, so ...
φ = arctan(c₁/c₂) . . . . . . . formula for phase shift*
φ = arctan(5/2) ≈ 1.19029 radians
___
* remember that c₁ is the coefficient of the cosine term, and c₂ is the coefficient of the sine term.