Answer:
1)Area of circle: 64
2)Area of semicircles: 128
3)Area of quarter-circles: 128
4)Total area of pattern: 320
Step-by-step explanation:
r = 8cm
Given: 1 circle, 4 semicircles, and 8 quarter-circles.
Area of a circle: 
1) A =
where r = 8
A = 64
2) 4 semicircles = 2 circles
so the answer is 2*A = 128
3) 8 quarter-circles = 2 circles
Therefore, the answer here is the same as the answer for #2!
4)There are 5 circles total because:
1 circle = 1 circle
4 semicircles divided by 2 = 2 circles (because
times 4)
8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles
So ... 1 + 2 + 2 = 5 circles
Now we need to find the area of 5 circles which is just 5*A
5*A = 320
Use pythagorean's theorem to solve for missing sides of a right triangle.
a^2 + b^2 = c^2
a = 11
b = 17
c = We don't know yet so I'll call it x
11^2 + 17^2 = c^2
121 + 289 = c^2
410 = c^2
c = √410
c = 20.2
Thus, the answer is B.
Hope this helps, and May the Force Be With You!
-Jabba
Answer:
The answer is option 3.
Step-by-step explanation:
You have to substitute H+=2×10^(-9) into the equation of pH :
pH = -log[H+]
H+ = 2×10^(-9)
pH = -log[2×10^-9]
= 8.70 (3s.f)
To find the area of a triangle, you multiply the base times the height and multiply it by 2.
In order to find the height, you need to do this in reverse.
1.multiply 24x2
2. Find possible multiples.
3. 4x12=48, 12(the base) is three times four, and 48/2 is 24.
Answer: the height of the triangle is 4
The equation given in the question has one unknown variable in the ofrm of "x" and there is also a single equation. So it can be definitely pointed out that the exact value of the unknown variable "x" can be easily determined. Now let us focus on the equation given in the question.
x/35 = 7
x = 35 * 7
x = 245
So we can find from the above deduction that the value of the unknown variable "x" is 245. The correct option among all the options given in the question is option "B". I hope the procedure is not complicated for you to clearly understand.