The tree's height is 36 feet!
Work/explanation below:
1. The ratio of the boy's shadow to height is 4 : 6 or 1 : 1.5.
2. Plug the tree's shadow into the ratio and you have 24 : 24 X 1.5
3. 24 X 1.5 = 36.
Hope that helped!
:D®
Answer:
<h2>The answer is 494</h2>
Step-by-step explanation:
where
n is the nth term
From the question we are finding the 72nd term that's n = 72.
Substitute the value into the above formula and solve
That's
We have the final answer as
<h3>494</h3>
Hope this helps you
Answer:
7. 4
8. 7
Step-by-step explanation:
7. 
Cross multiply
(division property of equality)
8. 
Cross multiply
(addition property of equality)
Divide both sides by 6
-x/4-6>-8
Multiply both sides by 4
-x-24>-32
Move the constant to the right
-x>-32+24
-x>-8
Change the signs
x<8
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
