At summer camp, the duration of a basketball game is 3/4 of an hour. The camp counsellors have set aside 6 hours for basketball
games. They need to determine how many games can be played. James and Raquel both attempted to solve the problem and their work is shown below.
Problem: 6 dived by 3/4
Question 1
POSSIBLE POINTS: 5
Select the camp counselor that correctly solved the problem.
James
Raquel
Question 2
POSSIBLE POINTS: 5
Identify and describe the error in the incorrect counsellor's work. :
Problem: 6 dived by 3/4
Question 1
POSSIBLE POINTS: 5
Select the camp counselor that correctly solved the problem.
James
Raquel
Question 2
POSSIBLE POINTS: 5
Identify and describe the error in the incorrect counsellor's work. :
2 answers:
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Answer:
Step-by-step explanation:
Given expression:
The given expression needs to be simplified to the form
Applying the exponents rule to simplify.
Writing all numbers as product of 3.
⇒
Writing each in exponents form.
⇒
Using power of a power rule
⇒
Using multiplication rule of exponents
⇒
⇒
So we have
∴
Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.
The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.
One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle