Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
![$c^2 > a^2 +b^2$](https://tex.z-dn.net/?f=%24c%5E2%20%3E%20a%5E2%20%2Bb%5E2%24)
![$c^2 > (9)^2 +(14)^2$](https://tex.z-dn.net/?f=%24c%5E2%20%3E%20%289%29%5E2%20%2B%2814%29%5E2%24)
![$c^2 > 81 +196$](https://tex.z-dn.net/?f=%24c%5E2%20%3E%2081%20%2B196%24)
![$c^2 > 277$](https://tex.z-dn.net/?f=%24c%5E2%20%3E%20277%24)
c > 16.64
Therefore the smallest possible whole number is 17 inches.
Answer:
![-3\frac{1}{2}](https://tex.z-dn.net/?f=-3%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Solve
![(x+y)](https://tex.z-dn.net/?f=%28x%2By%29)
For x=-1/2 and y=-3
substitute the value of x and the value of y in the expression above
![x+y=(-\frac{1}{2})+(-3)](https://tex.z-dn.net/?f=x%2By%3D%28-%5Cfrac%7B1%7D%7B2%7D%29%2B%28-3%29)
Remember that
![(+1)(-1)=-1](https://tex.z-dn.net/?f=%28%2B1%29%28-1%29%3D-1)
so
![x+y=-\frac{1}{2}-3=\frac{-1-6}{2}=-\frac{7}{2}](https://tex.z-dn.net/?f=x%2By%3D-%5Cfrac%7B1%7D%7B2%7D-3%3D%5Cfrac%7B-1-6%7D%7B2%7D%3D-%5Cfrac%7B7%7D%7B2%7D)
Convert to mixed number
![-\frac{7}{2}=-\frac{6}{2}-\frac{1}{2}=-3\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B7%7D%7B2%7D%3D-%5Cfrac%7B6%7D%7B2%7D-%5Cfrac%7B1%7D%7B2%7D%3D-3%5Cfrac%7B1%7D%7B2%7D)
<span>Randall’s family drove to the beach for vacation. Assume they drove the same speed throughout the trip. The first day, they drove 130miles in 22 hours. The second day, they drove 325 miles in 55 hours. The third day, they arrived at the beach by driving 390 miles in 66 hours.</span>
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
Answer:
Step-by-step explanation: