What is the area of this triangle in the coordinate plane? 5 units² 6 units² 7 units² 12 units² A graph with a triangle drawn be
tween coordinates begin ordered pair 1 comma 1 end ordered pair begin ordered pair 1 comma 4 end ordered pair and coordinates begin ordered pair 5 comma 1 end ordered pair
1 answer:
Answer:
6 units²
Step-by-step explanation:
The coordinates (1,1) (1,4) (5,1) form a right triangle as shown in the graph below
The base is is (1,1) and (5,1) so the length is 5-1 or 4 units
The height is (1,1) and (1,4) so the height is 4-1 or 3 units
Area of a triangle is given by
A = 1/2 bh
= 1/2 (4*3)
= 1/2 *12
= 6 units^2
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Answer:
When Ø = 300°, Ø = 60 degrees.
When Ø = 225°, Ø = 45 degrees.
When Ø = 480°, Ø = 60 degrees.
When Ø = -210°, Ø = 30 degrees.
Step-by-step explanation:
Reference angles are in Quadrant I (0° to 90°).
1. Find 300° (Quadrant IV) on the unit circle. Since it's in Quadrant IV, you use 360 - 300 = 60° to get your answer.
2. Find 225° (Quadrant III) on the unit circle. Since it's in Quadrant III, you use 225 - 180 = 45° to get your answer.
3. The angle 480° is not on the unit circle. To find its corresponding angle between 0° and 360°, use 480 - 360 = 120°. Then, find 120° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 120 = 60° to get your answer.
4. The angle -210° is not on the unit circle. To find its corresponding angle between 0° and 360°, use -210 + 360 = 150°. Then, find 150° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 150 = 30° to get your answer.
