Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.
keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.
however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.
now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.
360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.
then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.
and you can keep on going around the circle, but only four are needed this time only.
Answer:
Step-by-step explanation:
Given the following question:
Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)
In order to find the slope any two points given we use the formula to find slope or rise/run.
The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.
Hope this helps.
Answer:
7. 16
8. 8
9. 8
10. 12
11. 12
12. 18
Step-by-step explanation:
The centroid cuts each median into parts in the ratio 2:1. This fact can be used to find the desired lengths.
7. SH = 2/3×SM = 2/3×24 = 16
8. HM = 1/3×SM = 1/3×24 = 8
9. TH = 2×DH = 2×4 = 8
10. HR = 2×EH = 2×6 = 12
11. TD = TH +DH = 8 +4 = 12
12. ER = EH +HR = 6 +12 = 18
