The speed of wind and plane are 105 kmph and 15 kmph respectively.
<u>Solution:</u>
Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.
We have to find the air speed of the plane and speed of the wind.
Now, let the speed wind be "a" and speed of aeroplane be "b"
And, we know that, distance = speed x time.
Now at head wind → 
So, solve (1) and (2) by addition
2a = 210
a = 105
substitute a value in (1) ⇒ 105 + b = 120
⇒ b = 120 – 105 ⇒ b = 15.
Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.
Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.
Since we’re trying to find minutes, concert all known information to minutes
1 hr 15 mins = 75 mins
1 hr 30 mins = 90 mins
Next, calculate how many total minutes Gage has skated in the first 8 days
75(5) + 90(3) = 645 mins
Create an equation to find the average of Gage’s minutes of skating. Add up all the minutes and divide by the total amount of days and set equal to 85, the average we are trying to get.
(645 mins + x mins)/9 days = 85
Solve for x
645 + x = 765
x = 120
So, in order to have an average of an 85 minute skate time, Gage would need to skate 120 minutes on the ninth day.
Answer:
A. Law of detachment
Step-by-step explanation:
The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.
This condition is made the conclusion.
The Acute and Obtuse are detached of each other.
The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.
Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.
The conclusion of the given statement is valid based on the law of detachment as the condition has been made a conclusion.
Answer:
E. 1/2
Step-by-step explanation:
Divide by 2, then make use of the Pythagorean identity for sine and cosine.
sin(x)^2 +cos(x)^2 = 2a
1 = 2a . . . . . . . sin²+cos²=1
1/2 = a
The summation of the money Myla spend altogether is $41.9
As in the given problem we can see Myla bought
a shirt for $25.36 and
a hat for $5.09 and
a belt for $11.45.
Hence we need to know the cummulative price she spend altogether.
To get the total price we should add the price of shirt hat and belt.
Summing all the prices we get
$25.36+$5.09+$11.45=$41.9
As all the quantities are given in one currency thus we can add them by simple addition formula.
Thus she spend $41.9 altogether at the mall.
Learn more about the summation here:
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