Answer:
x = 35.4
Step-by-step explanation:
Sum of all interior angles in a triangle = 180°
Therefore:
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
x + 2 + 2x + 2 + 2x - 1 = 180
Collect like terms
x + 2x + 2x + 2 + 2 - 1 = 180
5x + 3 = 180
Subtract 3 from each side
5x + 3 - 3 = 180 - 3
5x = 177
Divide both sides by 5
5x/5 = 177/5
x = 35.4
Answer:
150.51 dB
Step-by-step explanation:
Data provided in the question:
decibel level of sound at 161 km distance = 180 dB
d₁ = 161 km
d₂ = 4800 km
I₁ = 180 db
The formula for intensity of sound is given as:
I = 
and the relation between intensity and distance is given as:
I ∝ 
or
Id² = constant
thus,
I₁d₁² = I₂d₂²
or

therefore,
I = 
or
I = 
or
I = 20 × (-1.474)
or
I = -29.49
Therefore,
the decibel level on Rodriguez Island, 4,800 km away
= 180 - 29.49
= 150.51 dB
Answer: 15 gallons of gas is required for a 705 miles trip.
Step-by-step explanation:
Since we have given that
Number of miles in a trip = 235 miles
Number of gallon of gas is needed = 5
We need to find the amount of gas required for 750 miles trip.
Since there is direct variation, as for increase in number of miles, amount of gas must be increased.
According to question, it becomes,

Hence, 15 gallons of gas is required for a 705 miles trip.