Given:
The shaded sector above covers 
of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is
Substituting 
, we get
It is given that the shaded sector above covers of the circle.
The area of shaded sector 
Therefore, the area of shaded sector is 3π sq. cm.
The situation is represented by a drawing with a right triangle where an airplane is at the top corner, the elevation angle (opposite to the airplane) is 70°, the height (vertical leg) is x, and the adjacent leg (horizontal leg) to the 70° angle is 800.
Then, to find the height x, which is the opposite leg to the angle, you can use the tangent ratio, which is opposite leg divided by adjacent leg:
tan(x) = opposite leg / adjacent leg => tan(70°) = x / 800
Answer: tan(70°) = x / 800
Answer:D is 0,-5
Step-by-step explanation:
They are alternate interior angles so they add up to 90.
8x-4+60 = 90 would be the equation.
Now, just combine the like terms.
8x+56 = 90
8x = 34
x = 4.25
Answer:
Step-by-step explanation:
Simplifying
5x + -1 = 10x + -4 + -5x + 3
Reorder the terms:
-1 + 5x = 10x + -4 + -5x + 3
Reorder the terms:
-1 + 5x = -4 + 3 + 10x + -5x
Combine like terms: -4 + 3 = -1
-1 + 5x = -1 + 10x + -5x
Combine like terms: 10x + -5x = 5x
-1 + 5x = -1 + 5x
Add '1' to each side of the equation.
-1 + 1 + 5x = -1 + 1 + 5x
Combine like terms: -1 + 1 = 0
0 + 5x = -1 + 1 + 5x
5x = -1 + 1 + 5x
Combine like terms: -1 + 1 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
