Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
Answer:
See below.
Step-by-step explanation:
Unit rate = 78 / 3/4
= 78 * 4/3
= 26*4 (because 78 / 3 = 26)
= 104 calories per cup
There are 2 * 104 = 208 calories in 2 cuos of cereal..
Answer:
82
Step-by-step explanation:
m = 4
8m = 4 x 8 = 32
n = 10
5n = 5 x 10 = 50
32 + 50 = 82
Answer:
4800m
Step-by-step explanation:
"correct to the nearest 10 meters" means that the height can vary ± 10 meters.
4810 m ± 10 m = 4800 to 4820
4800 is the least possible height.
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3