Answer:
Θ = 157.7°
Step-by-step explanation:
Given
cosΘ = - 0.925
Since cosΘ < 0 then Θ is in the second or third quadrant.
Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus
Θ = (- 0.925) = 157.7° ← angle in second quadrant
2.1.43 A particular hybrid car travels approximately 235 mi on 5 gal of gas. Find the amount of gas required for a 705-mi trip.
1 answer:
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.
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To find the slope (m), use the slope formula:
and plug in the two points
(4, -4) = (x₁, y₁)
(6, -6) = (x₂, y₂)
[lines usually go from left to right, so the point furthest to the left is the 1st point]
[two negative signs cancel each other out and become positive]
m = -1
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.