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:
Step-by-step explanation:
apply sine rule 2 the triangle on left:
sinB'/10=sin45deg/8.2
sinB'=10*sin45deg/8.2=0.8623
B'=59.58deg or 120.42deg
as shown in the pic, B' > 90deg.
so B'=120.42deg.
the triangle on right has 2 sides at 8.2 so it is isosceles
B=adjacent < of B'
=180-120.42
=59.58deg
Answer:
see attachment
Step-by-step explanation:
We can write an equation to resemble the problem.
1160 = 170 + 50x
x equals the number of boxes he is carrying.
Solve for x.
1160 = 170 + 50x
990 = 50x
19.8 = x
We can't round up because that will be to much weight. So, we are going to round down.
19.8 -> 19
Therefore, the answer is 19.
Best of Luck!
Answer:
B
Step-by-step explanation:
Earths resources are not distributed evenly, take other resources such as gold for example, you can't find gold everywhere, only in certain places.
