Answer:
Area of sector is 6pi cm^2
Step-by-step explanation:
Mathematically pi radians is 180 degrees
thus pi/6 radians is 180/6 = 30 degrees
The formula for the length of an arc is;
theta/360 * 2 * pi * r
where theta in this case is 30 degrees
And the arc length is pi
so we have
30/360 * 2 * pi * r = pi
30/360 * 2 * r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
theta/360 * pi * r^2
30/360 * pi * 36
= 6pi cm^2
Answer:
x = - 3
y = 4
Step-by-step explanation:
x + y = 1 | (-3)
x + 3y = 9
- 3x - 3y = - 3
x + 3y = 9
_____________
- 3x + x = 9 - 3
- 2x = 6
2x = - 6
x = - 3
- 3 + y = 1
y = 1 + 3
y = 4
Answer:
120 pears
Step-by-step explanation:
Let the number of pears produced by Type B be x
Number of pears produced by type A=144
According to question
Type A produce 20% more pears than B
x+ x ×20%= 144
x+x×
= 144
= 144
=144
x= 144×
x=120 pears
Hence, Number of pears produced by B= 120 pears
Hence, the correct answer is 120 pears
Answer:
D) b = 
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = 
Finally, multiply out the denominator:
b = 
Answer:
It would be the first one.
Step-by-step explanation:
The way you figure it out is that it said that there was a total of 80 stuffed animals, so model B is out. Then, you change the percent into a decimal by moving the decimal point over to the right 2 times and you get 0.30. Finally, you multiply 80 by 0.30 and you get 24 stuffed animals.