Let the two integers be x and y
x-3= 2y
x=2y+3______(1)
x²+y²= 233_____(2)
sub eqn (1) into (2)
{2y+3}²+y²=233
4y² + 12y +9 +y²=233
5y²+12y+9-233=0
5y²+12y-224=0
y= -8 or 5.6
recall they are positive integers so y=5.6
now sub y=5.6 into eqn (1)
x=2(5.6)+3 = 11.2+3=14.2
the two integers are 14.2 and 5.6
This will involve finding an arctangent.
We'll consider the woman's height as the "opposite" side of a triangle and the shadow as the "adjacent" side. The angle that the Sun makes equals the arc tangent of that angle.
tan (Sun's angle) = 71" / 36"
tan (Sun's angle) =
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1.9722222222
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when we determine the arc tangent of 1.9722222222, it will equal the Sun's angle.
arc tangent of 1.9722222222 = 63.113 degrees
Answer:
-9.6
Step-by-step explanation:
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Answer:
he first one and the third one
Step-by-step explanation:
Answer:
x = 9.1
Step-by-step explanation:
x^2 + 16^2 = 18.4^2
x^2 + 256 = 338.56
x^2 = 82.56
x = 9.1