Answer:
Anticlockwise 60°
Step-by-step explanation:
Let my starting point be 0°
Turning to the right(clockwise)40° = 0° + 40° = 40°
I am now at 40° to the right of my starting point.
Turning to the left(anticlockwise) 70° = 40° - 70° = -30°
I am now 30° to the left of my starting point.
Turning to the right 90° = -30° + 90° = 60°
I am 60° to the right of my starting point.
To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°
This is a change of -60°
-Chetan K
Answer:
34.3 in, 36.3 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Hypothenus = 50 in
1st leg (L₁) = L
2nd leg (L₂) = 2 + L
Thus, we can obtain the value of L by using the pythagoras theory as follow:
Hypo² = L₁² + L₂²
50² = L² + (2 + L)²
2500 = L² + 4 + 4L + L²
2500 = 2L² + 4L + 4
Rearrange
2L² + 4L + 4 – 2500 = 0
2L² + 4L – 2496 = 0
Coefficient of L² (a) = 2
Coefficient of L (n) = 4
Constant (c) = –2496
L = –b ± √(b² – 4ac) / 2a
L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2
L = –4 ± √(16 + 19968) / 4
L = –4 ± √(19984) / 4
L = –4 ± 141.36 / 4
L = –4 + 141.36 / 4 or –4 – 141.36 / 4
L = 137.36/ 4 or –145.36 / 4
L = 34.3 or –36.3
Since measurement can not be negative, the value of L is 34.3 in
Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:
1st leg (L₁) = L
L = 34.4
1st leg (L₁) = 34.3 in
2nd leg (L₂) = 2 + L
L = 34.4
2nd leg (L₂) = 2 + 34.3
2nd leg (L₂) = 36.3 in
Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in
Answer:
The answer is
<h2>
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Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,13) and (10,-4)
The midpoint M is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
205.62
Step-by-step explanation:
