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