I need help finding M and B please
1 answer:
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Ah! I love these questions!
To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.
Area of Circle:
x 
= x 10^2
= x 100
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.
Area of Equilateral Triangle:
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5
because of the 30, 60, 90 ratio. Multiply that by 2 to get 10 as the length of the side of the large triangle. Now substitute this value into the formula above.
Final Answer: 100 - 75
To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.
Area of Circle:
=
=
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.
Area of Equilateral Triangle:
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5
Final Answer: 100
Answer:
-----×1/72
Step-by-step explanation:
The <em>order of operations</em> says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.
If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...
(-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8
_____
Here, we're going to evaluate what you have written according to the usual rules as described above.
(-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9
= -----×1/8/9
= -----×1/72
_____
<em>Comment on the arithmetic</em>
Fractions are multiplied and divided in the usual way:
a/b×c = (a×c)/b
a/b/c = (a/b) × (1/c) = a/(b×c)
___
<em>Comment on fractions and parentheses</em>
Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)
