Answer:
A week of laying in bed eating hot cheetos and watch anime
Step-by-step explanation:
To find the length of each flight, we can use the formula: distance = speed x time.
Let's assume the length of the outbound flight (from the starting point to the destination) is x miles. Since the flight averages 460 miles per hour, the time taken for the outbound flight can be calculated as x/460 hours.
For the return flight, which averages 500 miles per hour due to the tailwind, the time taken can be calculated as x/500 hours.
The total flying time for both flights is given as 4 hours and 48 minutes, which can be converted to hours as 4 + 48/60 = 4.8 hours.
Using this information, we can set up the equation:
x/460 + x/500 = 4.8
To solve this equation, we can multiply through by the common denominator of 460 and 500, which is 230,000:
500x + 460x = 4.8 * 230,000
960x = 1,104,000
x = 1,104,000 / 960
x ≈ 1,150
Therefore, the outbound flight is approximately 1,150 miles long.
To find the duration of each flight, we can substitute this value back into the equations:
Outbound flight duration = 1,150 miles / 460 miles per hour ≈ 2.5 hours
Return flight duration = 1,150 miles / 500 miles per hour = 2.3 hours
Hence, the outbound flight lasts approximately 2 hours and 30 minutes, while the return flight lasts approximately 2 hours and 18 minutes.
Answer:
6). Option (B)
7). Option (C)
Step-by-step explanation:
6) Property of a triangle :
"Sum of all interior angles is 180°"
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
5x + 3 = 180°
5x = 177°
x =
(x + 2)° = 37.4°
(2x - 1)° = 69.8°
(2x + 2)° = 72.8°
Option (B) is the answer.
7). (4x + 2)° + (2x + 1)° + (x - 1)° = 180°
7x + 2 = 180°
7x = 178°
x =
(4x + 2)° = 103.7
(2x + 1)° = 51.9°
(x - 1)° = 24.4°
Option (C) will be the answer.
2C+3D=1
-3C+D=15
The polygons are similar, but not necessarily drawn to scale.
Answer:
Step-by-step explanation:
Given: The polygons ABCD and JKLM are similar.
To find: The value of x.
Solution: Since, the given polygons are similar, therefore using the similarity condition, we have
Substituting the given values, we get
On cross multiplying, we get
Therefore, the value of x is 10 units.
(2x + 9)(2x + 9)
(2x + 9)(2x − 9)
(2x − 9)(2x − 9
The factored expression of is
The expression is given as:
Express 4 as the square of 2.
So, we have:
Rewrite the expression as:
Express 81 as the square of 81
Rewrite the expression as the difference of two squares
Hence, the factored expression of is
Read more about factorization at:
The value of w is w = 150 c / a.
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that c=a(w/150). We need to solve for w
c = a(w/150)
Cross multiplication;
c = a(w/150)
c/a = (w/150)
Now, multiply by 150 both sides;
c x 150/a = (w/150) x150
w = 150 c / a
Therefore, the value of w is w = 150 c / a.
Learn more about the unitary method;
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