40°, 60° and 80°
sum the parts of the ratio 2 + 3 + 4 = 9
The sum of the angles in a triangle = 180°
Divide 180 by 9 to find one part of the ratio
= 20° ← 1 part of the ratio
2 parts = 2 × 20 = 40°
3 parts = 3 × 20 = 60°
4 parts = 4 × 20 = 80°
The angles in the triangle are 40°, 60° and 80°
Answer:
x = 20
Step-by-step explanation:
I don't see a y in the diagram.
The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so
x + 90 + 4x - 10 = 180, that is
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
A or b
P
E
M
D
A
S
I use it now
Answer: -2sin³x
Step-by-step explanation:
cos ( x + y ) = cosx*cosy - sin y*sinx (1)
if x = y (1) could be express as: cos (2x) = cosx*cosx -sinx*sinx
cos 2x = cos²x -sin²x
Then sin(x)*cos2(x) − sin(x) ⇒ sinx * ( cos²x - sin²x ) - sinx
multiplying sinx*cos²x -sin³x -sinx
sinx (commom factor sinx (cos²x -sin²x -1) but 1-cos²x = sin²x
or -1 +cos²x = -sin²x ⇒sinx( -sin²x -sin²x) ⇒sinx (-2sin²x)
-2sin³x
