The following Circle Graph and table show the result of the survey conducted by Twin Groves Ice Cream parlor to find out the mos
t popular ice cream flavor.
How does the Circle Graph misrepresent the data in the table?
A. Raspberry is the least popular flavor.
B. The two larger sections of the graph are not labeled correctly.
C. One of the flavors from the table is missing in the Circle Chart.
D. Peach is the next popular flavor after strawberry.
How does the Circle Graph misrepresent the data in the table?
A. Raspberry is the least popular flavor.
B. The two larger sections of the graph are not labeled correctly.
C. One of the flavors from the table is missing in the Circle Chart.
D. Peach is the next popular flavor after strawberry.
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.
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