An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle.
So, 6 * 2 / (sq root of 3) =
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6.9282032303
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Source:
http://www.1728.org/trig2.htm
A) 859.32/8= 107.415=108 tickets
B) 980.68/8= 122.585=123 tickets
Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.
Step-by-step explanation:
(85 + 90 + 95 + x)÷ 4 =87
Simplify:
(270 + x) ÷ 4 = 87
Rearrange:
(x + 270) ÷ 4 = 87
Multiply terms to Reduce:
4((x + 270) ÷ 4) = 4 * 87
Cancel Multiplied terms in Denominator:
x + 270 = 4 * 87
Multiply:
x + 270 = 348
Subtract 270 on both sides of the equation:
x + 270 - 270 = 348 - 270
Simplify:
x = 78
3/4 X 10= $7.50
Because 3/4 is 75%, 10 is the original price. And 75% times 10 is 7.50<span />
Answer:
the missing angle is 148°
Step-by-step explanation:
the sum of all exterior angles of a triangle are 360°
so, 360-138-74 = 148°
