Answer:
112.5 deg
Step-by-step explanation:
First we find the area of the entire circle.
A = pi * r^2
A = pi * (4 m)^2
A = 16pi m^2
The entire circle has area = 16pi m^2.
The sector has area 5pi m^2.
Now we find the fraction the area of the sector is of the entire circle.
fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125
The full circle has a central angle of 360 deg, the entire circle.
The measure of the central angle of the arc of the sector is the same fraction of the entire circle.
measure of sector angle = 0.3125 * 360 deg = 112.5 deg
Answer:
Step-by-step explanation:
hello :
(4x+3)(2x-5)=0
4x+3=0 or 2x-5=0
x= -3/4 or x=5/2
Answer: 81 mm^2
Step-by-step explanation: All the sides are the same length and area is just length * width so 9*9=81. You're welcome
Point slope form again
-3-9/3+1= -3
y+1=-3(x-9)
y+1=-3x+27
y=-3x+26
5+1/2+1=2
y+1=2(x+1)
y+1=2x+2
y=2x+1
For your system of equations you have
y={y=-3x+26}
y={y=2x+1}
There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.
2x+1=-3x+26
5x+1=26
5x=25
x=5
So now you just plug in x = 5 for each quotation and you have your y's for both solution points
y=-3(5)+26
y=11
y=2(5)+1
y=11
So this works out nice, your solutions for the set of equations is (5,11) since they are the same points
You would start by setting up the equation:
7x=125 where x is equal to the number of books sold
x=17.9
Since you cannot sell .9 of a book, this must be rounded up to 18.
Therefore, Amy must sell 18 books.