Answer:
The yellow polygon is the scaled version of the red one (scaled by 3×), so the variable w = 9
28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer:
7f
Step-by-step explanation:
Just add them all together keeping the f on
Then subtract keeping the f on
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
---- the rate
First, we calculate the vertical distance (y) using tangent ratio
Substitute 100 for x
Differentiate both sides with respect to time (t)
Substitute values for the rates and 
This gives
Divide both sides by 2
Hence, the rate of change between you and the ball is 0.01 rad per second
Read more about related rates at:
brainly.com/question/16981791
