Answer:
The fraction of the original strip left is 
.
Step-by-step explanation:
We have that,
A strip of paper is cut in 
. So, the strip of paper left is .
Now, again the remaining part is cut in half. The part left will be 
i.e. 
.
Finally, the remaining part is again cut in half.
We get, the final part of the paper remaining is 
i.e. .
So, the fraction of the original strip left is .
Answer:
You can solve this with common sense, but I'll do it for you and read my explanation before you demand an answer.
Step-by-step explanation:
When you look at a right angle, one forms 90°
A square has 4 sides, each should measure 90°.
That is how we know that point C measures 90°.
Now let's solve for x.
100+(x+10)+90°=90°
Solve the equation:
100+x+10+90=90
Step 1 : Solve for both sides.
100+x+10+90=90
(x)+(100+10+90)=90 ADD LIKE TERMS!
x+200=90
Step 2: Subtract 200 from both sides so you can make them equal.
x+200−200=90−200
x=−110
So, we get that <em>x=-110</em>. So <em>the blank side</em> should measure <em>90 degrees</em>.
Answer:
( x + 1)^2 + ( y - 3)^2 = 25
Step-by-step explanation:
The equation of the circle with a center and a point
( x - a) ^2 + ( y - b) ^2 = r^2
( a , b) - center of the circle
( x , y) - any point on the circle
r^2 - radius
( -1 , 3) - ( center) - ( a, b)
a = -1
b = 3
( 3 , 6) - ( point) - ( x, y)
x = 3
y = 6
Step 1: substitute the center into the equation
( x -(-1)^2 + ( y - 3)^2 = r^2
( x + 1)^2 + ( y - 3)^2 = r^2
Step 2: sub the point into the equation
( x + 1)^2 + (y - 3)^2 = r^2
( 3 + 1)^2 + ( 6 - 3)^2 = r^2
4^2 + 3^2 = r^2
16 + 9 = r^2
25 = r^2
Step 3: sub the radius into the equation
( x + 1)^2 + ( y - 3)^2 = r^2
( x + 1)^2 + (y - 3)^2 = 25
Therefore, the equation of the circle is
( x + 1)^2 + (y - 3)^2 = 25
3(-1.5)-5=
-4.5-5=
-9.5
3(2)-5=
6-5=
1
3(4)-5=
12-5=
7
{f(-1.5),f(2),f(4)} = {-9.5,1,7}
Find the least common multiples of 4, 10, 12, 15
multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
The least common multiple of 4, 10, 12, and 15 is 60.
4 x 15 = 60
10 x 6 = 60
12 x 5 = 60
15 x 4 = 60
