Given:
Area of the circle : 36 ft²
Area of the square : 3 6ft²
Circle:
A = π r²
36 ft² = 3.14 * r²
36 ft² / 3.14 = r²
11.46 = r²
√11.46 = r
3.39 = r diameter = 2 * r = 2 * 3.39 = 6.78 ft
Square:
A = a²
36 ft² = a²
√36 ft² = a
6 ft = a
6.78 ft - 6 ft = 0.78 ft ⇒ the table is sticking out from the glass
Diagonal of a square:
d = √ 6² + 6²
d = √ 36 + 36
d = √ 72
d = 8.49 ft
8.49 ft - 6.78 ft = 1.71 ft ⇒ the glass is sticking out from the table
Answer:
1. 60 cm^2
2. 132.67 cm^2
3. 72.67 cm^2
Step-by-step explanation:
1. Area of rectangle
A = LW = 5 cm * 12 cm = 60 cm^2
2. Area of circle
A = (pi)r^2 = 3.14(6.5 cm)^2 = 132.67 cm^2
3. Area of shaded region
A = area of circle - area of rectangle
A = 132.7 cm^2 - 60 cm^2 = 72.67 cm^2
Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
<span>In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself.</span>
That would mean Amanda is older because one-half would be 150%
