Answer:
Step-by-step explanation:
In Raphael's example, the robot moves in a perfect triangle. A perfect triangle is known to have three equal sides and three equal angles of 60° each. Raphael's example mentions the length of two sides of the triangle as 3m and 4m and it also mentions the angle the robot turns 120°
Therefore the angle created is 180°-120°= 60° which is an angle of a perfect triangle.
The distance that the robot has to calculate would be equal to the length of the third side of the triangle
lets assume the length of the third side of the triangle to be and the two remaining angles to be a and b.
To get the distance , let's list out what we know about this triangle.
side a = 3m
side b = 4m
side c =<em> β</em>
Angle 1 = Angle made between side 2 and 3 = A
Angle 2 = Angle made between side 1 and 3 = B
Angle β = Angle made between side 1 and 2 = 60°
The law of cosines states that
= + - 2ab(cosβ)
= + - 2×3×4(cos 60)
= 9 + 16 - 24(0.5)
= 9 + 16 - 12
= 13
<em>β</em> =
<em>β</em> = 3.6055512755 m
The distance the robot will compute is 3.61 meter to the nearest hundredth.
Answer:
b
Step-by-step explanation:
ANSWER
EXPLANATION
The given inequality is,
By the definition of absolute value,
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
We simplify now to get,
Divide through by 2 to obtain,
Answer:
x=5
Step-by-step explanation:
So how i came about to get this answer, was
y=15-3x
y=15-3(5)
y=15-15
y=0
I found five by testing out different numbers for x such as 1 2 3 4, but when i got to five, that was where i got the answer, as shown above.
<u>Do</u><u> </u><u>not</u><u> </u><u>forget</u><u> </u><u>about</u><u> </u>PEMDAS
16/18=3/n
8/9=0.88888888 recurring
0.8888888 recurring*3=2 2/3
n=2 2/3