Answer:
12.68
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 9
hypotenuse (h) = c
Now
sin 45 ° = p/ h
0.71 = 9 / c
c = 9 / 0.71
c = 12.68
Hope it will help :)
1-1-1-1-111-1111+9-9-9-9-9-9-9-9-
An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . . 8, or 9, in succession.
a. How many different possible pins are there if there are no restrictions on the choice of digits?
Solution: The are total 10 numbers between 0 and 9.
Also there are no restrictions on the choice of digits. Therefore, the possible number of different PINs is:


Therefore, there are 10,000 different possibles PINs.
Answer:
1/6
Step-by-step explanation:
There are 6 faces on a die, and you can only roll one face only. So, the denominator will be 6 because there are 6 faces, and 1 as the numerator because that's the equal proportion for each face (unless you use two dice)
Answer:
1) x = 60° ; y = 70°
2) x = 50° ; y = 80°
3) x =110° ; y = 60°
4) x =60° ; y = 90°
Step-by-step explanation:
1)
We have to find the interior angle y
= 180 - 120
= 60°
Now we have to find x
=180 - (60 + 50)
= 180 - 110
= 70°
2)
We know that opposite angles are equal
So therfore y = 80°
x = 180 - 80 + 50
x = 180 - 130
x = 50°
3)
According to the figure we see that x+y=180
Exterior angle = sum of two interior angle
So, x = 50 + 60
x = 110°
Now we substitute in the x value
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°
4)
Opposite angles are equal
x = 60°
The figure is a right angle triangle
So,
y =90°