Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:



Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

We have been given that
,
and
.





Therefore, the man must let out the string at a rate of 4.41 feet per second.
Area = (theta/360)* pi * r^2
where theta is the angle of the sector
subs by your givens in the above equation
2.512 = (theta/360) * pi * (4)^2
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree
Answer:
-81 - y
Step-by-step explanation:
To simplify the expression -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)] use order of operations or PEMDAS.
-3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]
-3[2-y+5]-4[3y + 3+12 -2y]
-3[7-y] -12y-12-48+8y
-3[7-y] - 4y - 60
-21 + 3y - 4y - 60
-81 - y
Answer: This result is not unusual.
So, it does not seem that the claimed rate of 16% is wrong
Step-by-step explanation:
Since we have given that
n = 100
p = 0.16
q = 1 - 0.16 = 0.84
So, Mean would be

and standard deviation would be

Now, if there are 19 green,
so, we will check how it is far,

Since it is 0.817 standard deviations away from the mean.
So, this result is not unusual.
So, it does not seem that the claimed rate of 16% is wrong.