Answer: 9, 1/20, 9/20
Step-by-step explanation:
1) 9 pieces
2) Size of each pieces:
3) Area of the shaded rectangle:
Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
Answer:
3x
Step-by-step explanation:
a = 4x - 4
The perimeter is equal to 14x + 8 but it is also equal to 2a + 2b, so
14x + 8 = 2(4x - 4) + 2b
14x + 8 = 8x - 8 + 2b
Let's move 2b to the other side of the equation, we get:
14x + 8 - 2b = 8x - 8
Now, let's move 14x + 8 to the other side too to find what -2b is equal to
-2b = 8x - 14x + 8 - 8
Gonna simplify:
-2b = -6x
Now, let's multiply both sides with -1 to find what 2b is equal to
-2b * -1 = -6x * -1
2b = 6x
Now, we know that 2*b is equal to 6x, but we need to find what side b is equal to, so we gonna divide 6x by two to get what b is equal to
2b = 6x
b = 3x
Side b is equal to 3x
Yes you are doing it right
Answer:
D. 30.96 in²
Step-by-step explanation:
The area of the shaded region = area of the the square - area of the circle
= (s²) - (πr²)
s = 12 in
r = radius of circle = ½ of 12 in = 6 in
π = 3.14
Plug in the values into the equation
Area of the shaded region = (12²) - (3.14*6²)
= 144 - 113.04
= 30.96 in²
