2 dollar bills= $2.00
3 quarters= $0.75
6 dimes=$0.60
If you add those all up, you'd get $3.35.
The formula to find the perimeter of a rectangle is:
P = 2(l + w)
plug in your known values to solve for the unknown
20 = 2(l + 3)
20 = 2l + 6
14 = 2l
14/2 = l
7 = l or l = 7
you can check this by plugging your l value into the equation
P = 2(l + w)
20 = 2(7 + 3)
20 = 2(10)
20 = 20
hope this helps :)
For number 7:
a) The sum of the adjacent angles is 180. Because if its any three angles thats half of the angles all together 3/6 = 180/360.
b) The sum of the angles in the center is 360 degrees. Because 60 x 6 = 360.
c) The unknown angles (center angles) are 61.25 degrees.
For number 8 (bonus):
It's C) 90 Degrees, because it's a right angle.
Hope this helps :)
Answer:
y=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Remember the following:
cos(x)=cos(x/2 + x/2) = cos(x/2)*cos(x/2) -sin(x/2)*sin(x/2)
cos(x)=cos2(x/2) - sin2(x/2)
We also know that sin2(a)+cos2(a)=1,
so sin2(x/2)=1 - cos2(x/2). obtained from previous step.
So, our first expression can be written as:
cos(x)=cos2(x/2)-1+cos2(x/2)
Where we obtain that: cos(x/2)= sqrt( 1+ cos(x))/ sqrt(2)
If we again use sin2(a)+cos2(a)=1, we will obtain the following relation:
sin(x/2)= sqrt(1-cos(x))/sqrt(2)
Next Tang(x/2)= sin(x/2) / cos(x/2)= sqrt(1-cos(x))/sqrt(1+cos(x))=
SQRT(9/1)=3
In the given range, cos(x), hence tan(x/2) is also negative