F(6) = 6(5 - 6) = 6(-1) = -6
f(6.1) = 6.1(5 - 6.1) = 6.1(-1.1) = -6.71
f'(6) ≈ (-6.71 - (-6))/(6.1 - 6) = -0.71/0.1 = -7.1
I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.
Hope this helps but I think it might be:
Part A: c=0.75p
the cost of shipping for 2 pounds
c=0.75p
c=0.75*2
c=$1.50
Part B: c=0.05p
Answer:

Step-by-step explanation:
<u>Right Triangles
</u>
In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including
where a is the opposite leg to
and c is its adjacent led .
In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.
The height of the statue is h=a+b, where
Thus
Answer:
Height of the kite from the ground is 29.2 feet.
Step-by-step explanation:
For better explanation of the solution, see the figure attached :
The angle formed by the height of kite to that of the surface of the ground is right angle.
⇒ m∠ABC = 90°
Let angle of elevation be θ
Now, to find height of the kite : find length of AB
In right angled triangle ABC , using tan rule, we have
Hence, Height of the kite from the ground is 29.2 feet.