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Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q±
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
Answer:
9.07 and 7.77 respectively.
Step-by-step explanation:
To determine the upper control limit, add 0.65 lb to 8.42 lb, obtaining 9.07 lb.
To determine the lower one, subtract 0.65 lb from 8.42 lb, obtaining 7.77 lb.
Answer: 180 degrees
Step-by-step explanation:
A rotation of 180 degrees about the origin maps
.
it had to be b cuz now all quadrilateral have straight sides