Area of a trapezoid = a+b+c x h
10 + 5 +12 = 27 x h
27h = 27 x 1.5 = 40.5
The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.
Step-by-step explanation:
Given,
The distance traveled by plane = 1463 miles
The trip with the wind took 11 hours.
The trip took 19 hours against the wind.
Let,
s be the speed of plane and w be the speed of wind.
Therefore;
Speed with the wind = s+w
Speed into the wind = s-w
We know that;
Distance = Speed * Time
Therefore;
Equation for trip taken with wind.
1463 = 11(s+w)
Dividing both sides by 11

Equation for trip taken into the wind
1463 = 19(s-w)
Dividing both sides by 19

Adding Eqn 1 and 2

Dividing both sides by 2

Putting s=105 in Eqn 1

The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.
Answer:
6
Step-by-step explanation:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9
36 is divisable by 9, so Δ has to be 6.
Is the question multiple choice or do you have to write your own down
Given:
The given equation is:

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.
To find:
The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.
Solution:
We have,

The height of the ball is at least 36 feet above the ground. It means
.



Splitting the middle term, we get



The critical points are:


These two points divide the number line in 3 intervals
.
Intervals Check point
Result
0
False
4
True
8
False
The inequality is true for (2,6) and the sign of inequality is
. So, the ball is above 36 feet between 2 to 6 seconds.

Therefore, the required inequality is
and the ball is 36 feet above for 4 seconds.