Answer:
1=1
Step-by-step explanation:
x = theta
[cos(x) * 1/sin(x) * sin(x)/cos(x)] / [sin(x) * 1/cos(x) * cos(x)/sin(x)] = [cos(x)/cos(x) * sin(x)/sin(x)] / [sin(x)/sin(x) * cos(x)/cos(x)] = [1*1]/[1*1] = 1
Because csec(x) = 1/sin(x) , sec(x) = 1/cos(x), tan(x) = sin(x)/cos(x) & cot(x) = cos(x)/sin(x)
Answer :The first one
Step-by-step explanation:
So, first let's refill the barrel to the top:
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel
what is the iterative rule for each sequence? (show work) 200,250,300,350,400,450 200,220,242,266,292,322
kirza4 [7]
Answer:
Step-by-step explanation:
We have been given two sequence:
200,250,300,350,400,450
200,220,242,266,292,320
In first sequence We can see that there is common difference of 50 between consecutive terms:
So, we can use the formula of arithmetic sequance which is:
Where, a is first term and d is common difference n is the number of terms:
Now, for second sequence:
200,220,242,266,292
is the iterative rule
If we put n=1 in above formula we will get 
At n=2, 
And so on... by substituting consecutive values as in sequence given.
Answer:
151
Step-by-step explanation:
Volume of a cone can be found using the equation below
V=π(r^2)(h/3)
<u>divide diameter by two to find the radius</u>: 8/2=4
<u>Plug the values into the equation</u>: V=π(4^2)(9/3)
<u>Simplify</u>
V=π(4^2)(9/3)
V=π(16)(3)
V=150.79
Rounds up to 151
