Answer:
Step-by-step explanation:
f(x)=4x+5
g(x)=6x+4,
first: (f*g)=(4x+5) (6x+4)=24x²+46x+20
next:(f*g)(0)=((g*f)=24x²+46x+20=20
9514 1404 393
Answer:
x = 14°
Step-by-step explanation:
There are two ways you can go at this.
1) an exterior angle is equal to the sum of the remote interior angles
124° = (2x) +(180° -6x)
-56° = -4x
x = 14°
__
2) sum of exterior angles is 360°
124° +6x +(180° -2x) = 360°
4x = 56°
x = 14°
Answer:
The height from the top of the flag pole to the top of the shadow = 47 feet.
Step-by-step explanation:
Given:
Height of the flag pole = 25 ft
Length of the shadow cast by the flag pole = 40 ft
To find the approximate height from the top of the flag pole to the top of the shadow.
Solution:
On drawing the flagpole and the shadow, we get a right triangle of which the legs are given.


We need to find the hypotenuse of the right triangle.
Applying Pythagorean theorem.




Taking square root both sides :


Thus, the height from the top of the flag pole to the top of the shadow = 47 feet.