For 1a question can thought as an equation mk+5=27 the k represents any number 1,2,3,...n but you can treat it as k=1 since it is used to find others numbers that can give you x congruent 5(mod m). Any ways so m+5=27 just solve for m and that will give you solution.
Rotate the degrees until the angle is between 0 and 360.
-1035 +360 = -675
-675 + 360 = -315
-315+360 = 45
Now you have sin(45)
The value of sin 45 = √2/2
The value of sin(-1035) is √2/2
Since length of diagonal ( 
) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.
<u>Step-by-step explanation:</u>
Here we have , A circle has diameter of 11 cm A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:
We know the concept that for any square to fit inside the circle without touching the edge of circle , diagonal of square must be less than diameter of circle . Let's find out length of diagonal by using Pythagoras Theorem :
For a square , 
⇒ 
⇒ 
⇒ 
⇒
Since length of diagonal ( ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.
75% = 0.75
750 people / 0.75 = 1,000 people
There were 1,000 total people attending the game
Answer:
100
Step-by-step explanation:
12x - 4 + 13x + 9 = 180
25x + 5 = 180
25x = 175
x = 7
13(7) + 9 = 100
