Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
1 answer:
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Answer:
for all n>0,
Step-by-step explanation:
Let be the sequence described.
A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that forr all n>0.
To find r, note that
Similarly
Thus for all n>0, and
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.