Answer:
x = 6
Step-by-step explanation:
The probability that this archer hits her first shot is given by t the probability of being windy and that she hits the shot added to the probability of not being windy and that she hits the shot:

If the probability that she hits the target on her first shot is 0.x1, the value of x is:

Answer:
The base of the ladder is 3.2 meters far from the wall.
Step-by-step explanation:
We need to calculate the base of a right triangle. The given information is:
h: hypotenuse = length of the ladder = 6 m
b: is the base =?
θ: is the angle between the hypotenuse and the base = 58°
To find the base we can use the following trigonometric equation:


Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!
Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = 
3). MN = 
= 14
4). MN = 
= 66.5
5). MN = 
7 = 
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = ![\frac{1}{2}[(3x+2)+(2x-2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B2%29%2B%282x-2%29%5D)
30 = 5x
x = 6
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Just subtract the number infront of missing number to the opposing number