1+sin²x=2-cos²x
Remenber: sin²x+cos²x=1 ⇒sin²x=1-cos²x
1+sin²x=1+(1-cos²x)=2-cos² x (this is true)
The answer is that they are similar triangles
72°
the sum of the exterior angles of a polygon = 360°
for a pentagon with 5 sides the
exterior angle = 
= 72°
Answer:
13.3 ft
Step-by-step explanation:
We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.
Angle M has a value that makes the sum of angles be 180°, so it is ...
∠M = 180° -61° -38° = 81°
The law of sines tells you the length of side MP is ...
MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°)
x = MP ≈ 13.3 ft
Answer:
$0.10/pencil
Step-by-step explanation:
Find the unit cost. To do this, divide $1.25 by 12 pencils, obtaining:
$1.25
---------------- = $0.1042/pencil, or (more logically) $0.10/pencil
12 pencils
