Answer:
![7x\leq x-24](https://tex.z-dn.net/?f=7x%5Cleq%20x-24)
Here,
denotes the required number.
Step-by-step explanation:
Let
denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to ![7x](https://tex.z-dn.net/?f=7x)
Quantity that is 24 less than that same number is equal to ![x-24](https://tex.z-dn.net/?f=x-24)
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
![7x\leq x-24](https://tex.z-dn.net/?f=7x%5Cleq%20x-24)
Answer: V = (10.4 mph, 38.6 mph)
Step-by-step explanation:
The velocity is written as (vx, vy)
where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.
In usual notation, the angles are measured counterclockwise from the positive x-axis.
We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)
vx = 40mph*cos(75°) = 10.4 mph
vy = 40mph*sin(75°) = 38.6mph
Then the vector of velocity is V = (10.4 mph, 38.6 mph)
(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i
= 4i + 16
Answer:
Line CDE is a straight line,
so 85°+70°=55°
180°-55°=25°
angle BDA=25°
25°+85°=110°
180°-110°=70°
angle CDF=70°