Answer:
I think it's the last one! In an experiment, one group is studied over a short period of time---
Answer:
6 × 8
Step-by-step explanation:
Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.
So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:
(24/4) x (32/4) = 6 x 8
It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.
Answer:
5 to 2
Step-by-step explanation:
You can simplify both 20 and 8 by 4.
20/4 = 5
8/4 = 2
Y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)
From (1), y = 2x + 8 . . . (3)
Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0
Therefore, there are infinite number of solutions.
Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
