Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
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
Given:
• Total number of cans collected = 150
,
• Percent of cans that were soda = 58%
Let's find the number of other cans he collected.
To find the number of other cans, since the percent of soda is 58%, let's find the pecent of other cans.
Percent of other cans = 100% - 58% = 42%
The percent of other cans collected was 42%.
Now, to find the number of other cans collected, let's find 42% of the total number of cans collected 150.
We have:
Therefore, the number of other cans collected is 63 cans.
ANSWER:
63 cans
Answer:
how to do this
Step-by-step explanation:
