zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age. What equation can be used t
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<h3><u>Question:</u></h3>
After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?
<h3><u>Answer:</u></h3>The total bill for catering the party is $ 8689.86
<h3><u>Solution:</u></h3>Kayla’s Catering provided the food, drinks, and service for the party
Total number of guests = 207
Charge for food for 1 guest = $ 27
Charge for drink for 1 guest = $ 10
Charge for service for 1 guest = $ 4.98
<em><u>To find: Kayla total bill for cater</u></em>
Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)
Thus total bill for catering the party is $ 8689.86
Answer:
- a) 16.4 m, 101°
- b) 6.22 m, 51 m²
Step-by-step explanation:
<u>Find the measure of angle Q:</u>
- 50° + (180° - 130°) = 100°
a) <u>Find PR using the law of cosines:</u>
- PR = √(8² + 13² - 28*13*cos 100°) = 16.4 m (rounded)
<u>Find ∠P using law of sines:</u>
- 16.4/sin 100° = 13/ sin P
- m∠P = arcsin (13 sin 100° / 16.4) = 51° (rounded)
<u>The bearing of R from P is:</u>
- 50° + 51° = 101°
b)
<u>Find the measure of h, the distance from Q to PR:</u>
- h/ PQ = sin P
- h = PQ sin P
- h = 8 sin 51° = 6.22 m
<u>Find the area of ΔPQR:</u>
- A = 1/2PR*h
- A = 1/2(16.4)(6.22) = 51 m²
The value of expression when n = 3 is 22
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to find the value of expression when n = 3
<em><u>Substitute n = 3 in given expression</u></em>
Thus the value of expression when n = 3 is 22