Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
X=1, y=-2--------------------------
Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.
Answer:
x = 35
Step-by-step explanation:
Sum of angles of triangle = 180°
- 60 + 60 + 4x - 80 = 180
- 40 + 4x = 180
- 4x = 140
- x = 140/4
- x = 35°
90cm^3. First, determine the area of the right triangle face, A=1/2(b*h) - 1/2(4.5*5) = 11.25cm^2. This triangle is repeated over 8cm, so we multiply the 11.25cm^2 * 8cm = 90cm^3.
