Answer: the area of the shaded region is 21.5 cm²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 10 cm
Radius = diameter/2 = 10/2 = 5 cm
Area of circle = 3.14 × 5² = 78.5 cm²
The length of each side of the square is 10 cm. The area of the square would be
10² = 100 cm²
Therefore, the area of the shaded region would be
100 - 78.5 = 21.5 cm²
Answer:
show the graph .
Step-by-step explanation:
According to the law of sines:
![\frac{a}{sin(A)} = \frac{b}{sin(B)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%20)
Using the given values, we can find the angle B and find the number of possible triangles that can be formed.
![\frac{2}{sin(75)}= \frac{3}{sin(B)} \\ \\ sin(B)=3* \frac{sin75}{2} \\ \\ sin(B)=1.45 \\ \\ B=sin^{-1} (1.45)](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7Bsin%2875%29%7D%3D%20%5Cfrac%7B3%7D%7Bsin%28B%29%7D%20%5C%5C%20%20%5C%5C%20%0Asin%28B%29%3D3%2A%20%5Cfrac%7Bsin75%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%0Asin%28B%29%3D1.45%20%5C%5C%20%20%5C%5C%20%0AB%3Dsin%5E%7B-1%7D%20%281.45%29%20%20)
The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.
Therefore, we can conclude that no triangle exists with the given conditions.
Answer: alternate interior angles
Step-by-step explanation:
Got it Right on the test. :)