Answer:
99$
Step-by-step explanation:
you take the 5.25$ per hour and multiply it by the 15 hours, and then you add the 20.25$ per month
If a sticky note measures 77mm then when converted into meters it is 0.077
Well in a right angle triangle, we know that angle C would be 90 degrees, we can check this by solving for X and seeing if the expression 2x will give us a value of 90 degrees.
So 2x = 90
X = 90/2
X = 45 degrees.
90 = 2x
90 = 2(45)
90 = 90.
Thus since the equation is true, X = 45 degrees, we can also solve for the remaining angles knowing what X is.
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
