Answer:
Angle ADC is 295°.
Step-by-step explanation:
That is ; 360°- 65°=295°[Sum of angles at a point].
Well, I don't know. Let's see . . . . .
First draw: One 'M' available out of 11 letters. Probability of picking it = 1/11.
2nd draw: Four 'I's available out of 10 letters. Probability of picking one = 4/10.
3rd draw: Four 'S's available out of 9 letters. Probability of picking one = 4/9.
4th draw: Three 'S's available out of 8 letters. Probability of picking one = 3/8.
5th draw: Three 'I's available out of 7 letters. Probability of picking one = 3/7.
6th draw: Two 'S's available out of 6 letters. Probability of picking one = 2/6.
7th draw: One 'S' available out of 5 letters. Probability of picking it = 1/5.
8th draw: Two 'I's available out of 4 letters. Probability of picking it = 2/4.
9th draw: Two 'P's available out of 3 letters. Probability of picking one = 2/3.
10th draw: One 'P' available out of 2 letters. Probability of picking it = 1/2.
11th draw: One letter left. It is an 'I'. Probability of picking it = 1 .
Probability of all of those draws in order =
(1/11) x (4/10) x (4/9) x (3/8) x (3/7) x (2/6) x (1/5) x (2/4) x (2/3) x (1/2) x (1) =
1,152 / 39,916,800 =
1 / 34,650 =
0.00002886 =
<em> 0.002886 percent</em> (rounded)
Not a good bet. (But better than the lottery.)
Answer:
Sis 97,U is 30,Tis19,R is 21and m is 37
9514 1404 393
Answer:
69.5
Step-by-step explanation:
The useful trig relation in this case is ...
Cos = Adjacent/Hypotenuse
cos(43°) = x/95
x = 95×cos(43°) ≈ 69.5 . . . . feet
The points of intersection are at (3, 6) and (-1, -2).
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).