Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°

Answer:
-3.81176345205
Step-by-step explanation:
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Correct question is;
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?
Answer:
0 ≤ t ≤ 17 ; (0, 17)
Step-by-step explanation:
We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.
Now, we want to find the domain of numbers that shows her remaining distance.
Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;
0 ≤ t ≤ 17 ; (0, 17)
All you have to do is substitute 2 and 7 in for x in the function.
f(2) = 2(2) + 7
= 11
f(7) = 2(7) + 7
= 21
Answer:
180 pages
Step-by-step explanation:
let x be the number of pages in the book , then
x + 40 = x ( multiply through by 9 to clear the fraction )
7x + 360 = 9x ( subtract 7x from both sides )
360 = 2x ( divide both sides by 2 )
180 = x
The total number of pages in the book is 180