Answer:
4050 cm²
Step-by-step explanation:
This is a question of scale factors:
The radius of the larger circle is 9× that of the smaller circle;
This is the linear scale factor of the enlargement of the smaller to larger circle;
The scale factor of the area pertains to 2 dimensions so the scale factor will be the square of the linear scale factor, which is:
9² = 81
The area of the larger circle is found by the area of the smaller circle multiplied by this number:
50 × 81 = 4050
Answer: The result of the division is the number pi.
And the approximation of pi is: pi = 3.14
Step-by-step explanation:
The distance around a circle is called the perimeter of the circle.
The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.
The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:
π = 3.14159265358979...
Is an irrational number, which means that the decimals keep going infinitely.
Then we can conclude that:
"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."
Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.
Answer:
The width of the rectangle is 18 inches, and the length is 50 inches
Step-by-step explanation:
We can designate a variable, x, to represent the width of the rectangle. To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x. We can then write an equation for the perimeter and solve:
2(3x-4) + 2x = 136
6x - 8 + 2x = 136
8x - 8 = 136
8x = 144
x = 18
To calculate the length
(3x - 4)
3(18) - 4 = 50 in
Answer:
Option 2: y = ±sqrt(
)
Step-by-step explanation:
y = 7x^2 - 10
To find the inverse of a function, you must swap the y and x.
x = 7y^2 - 10
Now I will just simplify to have y by itself on the left hand side.
x + 10 = 7y^2
=y^2
sqrt()=±y
y = ±sqrt()
