For 1 and 2 the formula to find range is: the total of all the numbers divided by how many numbers there are added together (in the case of #1 it would be 6 #s being added)
Answer:
it's a remarkable identity :
(x+2)^2
Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both,
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are
and
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate
.
Lets calculate h.
Applying Pythagoras formula.
⇒
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒ 
⇒ 
⇒
...as 
⇒ Plugging the values.
⇒
...as
ft/sec
⇒
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
Answer:
Hey! The answer is 25,4 centimeters.
Step-by-step explanation:
In a linear function you can use y=mx+n
So if x = hours and y= height.
You know that

So:
If you multiply (24,8=26m +n) x-1
It is: -24,8 = -26m -n
Adding up the other equation
-24,8 = -26m -n
<u>27,8 = 11m + n</u>
<u>3 = -15m</u>
<u>m= -0,2</u>
So
27,8 = 11 x 0,2 + n
27,8 = -2,2 + n
30 = n
This results that te linear function for this equation is:
y = -0,2x + 30
The answer is
y=23(-0,2) + 30
y=-4,6+30
y=25,4
To find the lateral area of a cone, use this formula:

where r is the radius (in this case, 11) and h is the height (in this case, 26)
Try plugging the values in. If you need additional help, feel free to ask!