Oh Fractions are always fun to do. The answer should be 11/16
Answer:
404.98 m
Step-by-step explanation:
The angle of depression is 5°
The horizontal distance from the airplane to the atoll is 4629 meters.
We need to find the height of the plane.
If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :
![\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7Bx%7D%7B4629%20%7D%5C%5C%5C%5C%5Ctan%285%29%3D%5Cdfrac%7Bx%7D%7B4629%20%7D%5C%5C%5C%5Cx%3D%5Ctan%285%29%5Ctimes%204629%20%5C%5C%5C%5Cx%3D404.98%5C%20m)
So, the height of the plane is 404.98 m.
Answer:
She has 24,50$ left
Step-by-step explanation:
3,50*5 = 17,50
42$ - 17,50$ = 24,50$
Answer: -2a + 3b
Solution:
3b - 2a
Simplify
= -2a + 3b
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.