Answer: 784π mm²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.
Area = πr²
Notice that here, we're given the diameter instead of the radius.
Remember that the radius is equal to half of the diameter. So the radius of this circle will be equal to half 56 millimeters or 28 millimeters.
So plugging into the formula, we have (π)(28 mm)².
A common mistake is to plug 56 millimeters into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (28 mm)² is equal to (28 mm)(28 mm) or 784 mm².
So we have 784π mm².
So the area of the circle is 784π mm².
Answer:
Step-by-step explanation:
1) add all angles to 180
2) exterior angle = P + Q
i can add remaining ones also
If the expression is what I understand it is, this is my answer. (x to the third times x to the negative sixth all squared)
First, i would simplify what is inside the parentheses. x^-6 is the equivalent to
1/x^6. Therefore, the expression inside the parentheses is a fraction: x^3/x^6.
When dividing numbers with exponents, just subtract the exponents.
3-6= -3 so the simplification of the expression in the parentheses is 1/x^3.
To finish the problem, I would apply the square from outside the parentheses to the values inside them. In this way, the exponent would be multiplied by 2.
Our final answer is 1/x^6.
Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
Answer:
average = 52, 100 on fourth test
Step-by-step explanation:
average = 75 + 74 + 71 = 156 / 3 = 52
average = 52
b grade = 75 + 74 + 71 + 100 = 320 / 4 = 80
to get a b grade she must get 100 on her fourth test
