I really need help doing this I think its
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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.
400 children and 600 adults bought tickets.
Step-by-step explanation:
Given,
Cost of one child ticket = $14
Cost of one adult ticket = $32
Total attendance = 1000
Revenue generated = $24800
Let,
x be the number of children.
y be the number of adults.
According to given statement;
x+y=1000 Eqn 1
14x+32y=24800 Eqn 2
Multiplying Eqn 1 by 14
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 18
Putting y=800 in Eqn 1
400 children and 600 adults bought tickets.
Keywords: linear equations, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
1,350 meters per min
Step-by-step explanation:
Given that Mr. Castelli covers 125 miles in 2.5 hours, the average speed = .
In miles per hr, average speed = .
Converting 50 miles/hr to km per hr:
If 1 miles = 1.62 km (unit conversion)
50 miles = 50*1.62 = 81 km/hr
Converting 81 km/hr to meters per hr:
1 km = 1,000 m (unit conversion)
81 km = 81*1,000 = 81,000 m/hr
Converting 81,000 m/hr to meters per minutes:
60 mins = 1 hr
Therefore, average speed =
Average driving speed of Mr Castelli in meters per minute = 1,350 meters per minute.