Answer:
The plane needs to be about 27 meters higher to clear the tower
Step-by-step explanation:
The plane is 42 meters away from the tower.The tower is 98 meters high. Applying the Pythagorean relationship where the tower height is b and the distance of plane from tower is a, after take off, the plane reaches a flight distance of 83 meters from the ground at an angle.Finding b
a²+b²=c²
42²+b²= 83²
b²=83²-42²
b²=5125
b=√5125
b=71.59 meters
After travelling 83 meters, the plane will have cleared about 72 meters of the tower.
The remaining meters to clear the height of tower is: 98-72= 27 meters
Firstly you multiply 5 with everything in the brackets on the left side of = . and than you put t on the left side and change sign (if it was + then its going to be -) and numbers on right side and do the same with signs. then just calculate the rest
5(5t +1) = 25t - 7
25t + 5 = 25t - 7
25t - 25t = -7 + 5
0=-2
the statement is false
Answer: I believe the answer is C.
Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.
Option D:
is the equation of line
Explanation:
The equation of the line is perpendicular to the line
and that passes through the point ![(2,3)](https://tex.z-dn.net/?f=%282%2C3%29)
We need to determine the equation of the line.
First, let us determine the slope of the equation.
Since, the equation is perpendicular to the line
, the slope is ![m=2](https://tex.z-dn.net/?f=m%3D2)
Since, the lines are perpendicular, we have,
![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
Now, we shall substitute the slope
and the point
in the slope - point formula, we have,
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![y-3=-\frac{1}{2} (x-2)](https://tex.z-dn.net/?f=y-3%3D-%5Cfrac%7B1%7D%7B2%7D%20%28x-2%29)
![y-3=-\frac{1}{2} x+1](https://tex.z-dn.net/?f=y-3%3D-%5Cfrac%7B1%7D%7B2%7D%20x%2B1)
Hence, writing this equation in slope - intercept form, we have,
![y=-\frac{1}{2} x+1+3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%20x%2B1%2B3)
![y=-\frac{1}{2} x+4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%20x%2B4)
Thus, the equation of the line is ![y=-\frac{1}{2} x+4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%20x%2B4)
Therefore, Option D is the correct answer.