Answer:
The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)
Step-by-step explanation:
I hope this helped
Answer:
[143.61, 156.39]
Step-by-step explanation:
Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.
Plug these values into your calculator:
Sample mean = 150
Sample size = 16
Standard deviation = 12
Confidence level = 95% = 0.95
and get [143.61, 156.39] as your confidence interval
Answer:
24
Step-by-step explanation:
XW=WY=12
If the opposite angle is 30, the hypotenuse is double the small side.
XZ=XW=2·12=24
Answer:A= - 1/5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We are given a right triangle with a base of <em>x</em> feet and a height of <em>h</em> feet, where <em>x</em> is constant and <em>h</em> changes with respect to time <em>t</em>.
The angle in radians is defined by:

And we want to find the relationship that describes dθ/dt and dh/dt.
So, we will differentiate both sides with respect to <em>t</em> where <em>x</em> is a constant:
![\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5B%5Ctan%28%5Ctheta%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5B%5Cfrac%7Bh%7D%7Bx%7D%5CBig%5D)
Differentiate. Apply the chain rule on the left. Again, remember that <em>x</em> is just a constant, so we can move it outside the derivative operator. Therefore:

Since we know that tan(θ)=h/x, <em>h</em> is the opposite side of our triangle and <em>x</em> is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

Since secant is the ratio of the hypotenuse to adjacent:

So:

By substitution, we have:

By multiplying both sides by the reciprocal of the term on the left:

Therefore:

Our answer is A.