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.
Answer:
Option D - x = 3 3/5
Step-by-step explanation:
Lets make the left side into an improper fraction :
2 2/5 = 12/5
Now let's make both fraction into equivalent ones but with the same denominator :
2/3 = 10/15
12/5 = 36/15
Now we substitute the equivalent values back into the equation :
10/15 × x = 36/15
Now we multiply both sides by 15 to remove the denominators:
10 × x = 36
Now we divide both sides by 10 and simplify :
x = 36/10
x = 18/5
x = 3 3/5
So our answer will be Option D
Hope this helped and brainliest please
Answer:
(B) square
Step-by-step explanation:
Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.
5x + 10 = -4x - 17
+4x +4x
5x + 4x = 9x
9x + 10 = -17
-10 -10
-27
9x = -27 9x/9 = -27/9
x = -3
Answer: 3x - 9
Step-by-step-explanation: To solve the expression (8x – 2) – (5х – 7) we will be using properties of operations. First, use the commutative and associative properties to move the values next to each other to combine like terms.
(8x – 2) – (5х – 7)
(8x-5x)+(-2-7)
3x-9
So, the subtracted answer is 3x - 9