Given:
4 relations in the options.
To find:
The relation which represents a function.
Solution:
We know that, a relation is a function if there exist a unique output value for each input value.
In option A, we have two output values y=-5 and y=1 for single input value x=-1. So, it is not a function.
In option B, we have two output values y=2 and y=4 for single input value x=3. So, it is not a function.
In option C, we have two output values y=1 and y=7 for single input value x=-1. So, it is not a function.
In option D, we have unique output value for each input value. So, it is a function.
Therefore, the correct option is D.
The radius is 10.4 cm. And the angle is 120 which is 1/3 of the circle.
Just use the area formula: 3.14 *r^2 to find the total area of 339.62 and then divide this by 3 to get 113.21. Then to subtract the triangle..find the area of the traingle which is 1/2 (10.4)^2 = 54.08. 113.21 - 54.08 = 59.13 which should be your answer
Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by, 
.
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, 
, where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So, 
Therefore, Li Ping's statement makes sense. (Answer)
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = 
(where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Answer:
Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]
Step-by-step explanation:
