The letter x is a placeholder for a number. If we knew what x was, then we can replace it with that number. For now it's unknown.
We start off with x markers in a single box. Then 15 are given out to be left with x-15 markers. This happens exactly 3 times which is what the diagram shows
3 copies of (x-15) = 3*(x-15) = 3x- 45
Put another way, we have 3 'x's that add to 3x, and we have 3 copies of "-15" which combine to -45
So,
3x-45 = 90
3x-45+45 = 90+45 ... add 45 to both sides
3x = 135
3x/3 = 135/3 .... divide both sides by 3
x = 45
Therefore, we started off with 45 markers in each box. If we take 15 away then x-15 = 45 - 15 = 30 markers are left. Then triple this to get 3*30 = 90 which is the total amount left over. This helps confirm the answer.
Final Answer: 45 markers were originally in each box
Answer:
Area=
Step-by-step explanation:
Area of circle is given as:
Where 
To find radius of a circle circumscribing an equilateral triangle, we use the expression
Where, a is the length of sides of the equilateral triangle. Therefore:-
We can then proceed and calculate the area of the circle as follows:-
*The attached picture illustrates what the circumscribed equilateral triangle looks like
Answer:
the answer is C.-1/128......
The answer is 105c sqrt(3c)
The triangle has sides "a", "b" and "c", where side a = side b and the hypotenuse (side "c") equals side "a" or "b" times the square root of 2.
Prism volume = triangle area * height
342.1 = triangle area * 13.2
triangle area = 342.1 / 13.2
<span><span><span>triangle area = 25.9166666667
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area of a triangle is (1/2) base * height
In a 45 45 90 triangle, the base = height and since we don't know either the base or the height we'll call both "x".
So triangle area = (1/2) * x^2
<span>25.9166666667 = (1/2) * x^2
x^2 = </span><span>51.8333333334
x ( the base and the height) = </span><span><span><span>7.1995370222
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the hypotenuse of a 45 45 90 triangle = leg * square root (2) =
hypotenuse = <span>7.1995370222 * sq root (2)
</span><span><span><span>hypotenuse = 10.1816828995
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So, one of the legs = <span><span>7.1995370222
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Source:
http://www.1728.org/triprism.htm
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