Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.
The height is modeled by:
The initial height is 
, hence, one turn is completed when h(t) = 15.
The length of one turn is of 
, and 
, hence, the solution is found according to:
It takes 40 seconds to complete one turn.
You can learn more about trigonometric equations at brainly.com/question/24680641
If a polynomial "contains", in a multiplicative sense, a factor 
, then the polynomial has a zero at 
.
So, you polynomial must contain at least the following:
If you multiply them all, you get
Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.
If you want the polynomial to be zero at least at the four points you've given, you can multiply the given polynomial by every other function.
Answer:
1/6
Step-by-step explanation:
I guess we are to assume each is equally likely. There a 6 possible outcomes and one D so the answer is 1/6
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
<h3>
Answer:</h3>
<u>By angle bisector property</u>,
- 11x + 23 = 8x + 35
- 11x - 8x = 35 - 23
- 3x = 12
- x = 4°
So, <u>m∠ABD</u> = 8x + 35
<u>m∠CBD</u> = 11x + 23
<u>m∠ABC</u> = 67° + 67° = 134°
