Given:
2 shapes : square and equilateral triangle
side length = 2 cm
height of equilateral triangle = 1.7 cm
Equilateral triangle means that all sides are of equal measurement.
Area of a Square = a² ⇒ (2cm)² = 4cm²
Area of an equilateral triangle = √3/4 * a²
Area of an equilateral triangle = √3/4 * (2cm)² = 0.43 * 4cm² = 1.72 cm²
Area of the logo = 4 cm² + 1.72 cm² = 5.72 cm²
Answer:
C. 20 cm^2 is the area. Hope this helped you.
Answer:

Step-by-step explanation:

(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified