You are going to use the cos trig function as you have the adjacent side and the hypotenuse.
Cos^-1(12/13)=angle x
22.62
Consecutive numbers are numbers that follow one right after the other. One example is the set {6, 7, 8}. We don't know the three consecutive numbers so let's define...
x = first number
x+1 = second number
x+2 = third number
where x, x+1, and x+2 are consecutive numbers
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"The sum of three consecutive numbers is -15" meaning that
x+(x+1)+(x+2) = -15
Let's solve for x
x+(x+1)+(x+2) = -15
x+x+1+x+2 = -15
3x+3 = -15
3x+3-3 = -15-3
3x = -18
3x/3 = -18/3
x = -6
So this means
first number = x = -6
second number = x+1 = -6+1 = -5
third number = x+2 = 6+2 = -4
The list of consecutive values is {-6, -5, -4}
They add up to (-6) + (-5) + (-4) = -11+(-4) = -15
which confirms we have the right values
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In short, the final answer is -4
Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
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If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3
6/12 can be reduced to 1/2.
6/6=1
12/6=2
Answer:
64
Step-by-step explanation:
take 2x12=24+8=32x2=64
