Answer:
B: 192pi - 144
Step-by-step explanation:
Area of the sector = (120/360) * pi * r^2
Area of the sector = 1/3 * pi * 24 * 24
Area of the sector = 192 * pi
Now to find the area of the triangle.
The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.
the small angles are equal to
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide by 2
x = 60/2
x = 30
The height of the triangle is derived from sin(30) = opposite / hypotenuse
sin(30) = 1/2
hypotenuse = 24
1/2 = opposite / hypotenuse
1/2 = opposite / 24 Multiply both sides by 24
1/2 * 24 = opposite
opposite = 12
The height = 12
r = 24
Area of the triangle = 1/2 * 12 * 24
Area of the triangle = 144
So the area of the shaded area = 192*pi - 144 which looks like B
<h3>
Answer:</h3>
<h3>step by step explanation</h3>
![the \: above \: simply \: means \\ \: = \frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } = \frac{2}{3}](https://tex.z-dn.net/?f=the%20%5C%3A%20above%20%5C%3A%20simply%20%5C%3A%20means%20%5C%5C%20%20%5C%3A%20%20%3D%20%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B8%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B27%7D%20%7D%20%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20)
A correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
<h3>What is Correlation Coefficient?</h3>
Correlation coefficient, r, is a measure of how strong the relationship between two variables is.
A correlation coefficient, r, that is closer to 1 or -1 signifies a strong relationship between two variables and vice versa.
Therefore, a correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
Learn more about strong relationship on:
brainly.com/question/15552860
Answer:
vvery sorry i do not know
Step-by-step explanation:
Answer:
p=£800
r=5%
t=3years
Step-by-step explanation:
simple interest=ptr/100=£800×5×3/100=£120
