Yesterday, Fairlane got 1.2 inches of rain. It got of that rain before 3:00 P.M.
1 answer:
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9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
They will have same amount in 45 weeks.
Step-by-step explanation:
Given,
Starting amount of Nancy = $425
Per week saving = $25
Let,
x represent the number of weeks.
N(x) = 25x+425
Starting amount of Seamus = $875
Per week saving = $15
S(x) = 15x+875
For same amount;
N(x) = S(x)
Dividing both sides by 10
They will have same amount in 45 weeks.
Keywords: function, division
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