In the area a square is 48 cm^2. What is the perimeter, in cm, of the square?
2 answers:
You might be interested in
<u>In a parallelogram,</u>
⇒the angles adjacent to each other
⇒ are of the same measure
⇒so
∠A = ∠C
∠B = ∠D
<u>Let's solve</u>:
- ∠A = ∠C
- ∠B = ∠D
<u>Let's check</u>:
⇒ for all quadrilaterals like a parallelogram
⇒all the angle measures added up to 360, so:
<u>Thus</u>:
<u>Answer: w = 20 and z = 15</u>
Hope that helps!
We can draw a unit circle as:
The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.
The cosine will be the horizontal leg (or horizontal projection) of this same triangle.
The hypotenuse of this triangle will be the radius if the unit circle (r = 1).
a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.
Then it will be decreasing for angles between 90° and 270°.
Between 270° and 0° it will be increasing again.
b) The cosine has a maximum value for an angle of 0°.
It will decrease until 180°.
Then it will be increasing from angles between 180° and 360°.
c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.
The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.
Answer:
a) Increasing: (0°, 90°) and (270°, 360°)
Decreasing: (90°, 270°)
b) Increasing: (180°, 360°)
Decreasing: (0°,180°).
c) Sin(θ) = 0 for θ = 0° and θ = 180°
Cos(θ) = 0 for θ = 90° and θ = 270°
