Answer:
45 girls
Step-by-step explanation:
If 60% of the class is girls then 40% of the class is boys.
30 boys are in the class, meaning that 40% of the class comprises those 30 boys
First, we need the total number of class members: 30/x = 40/100 -> 40x=3000 -> x=3000/40 -> x=75
Now that we know the total class members, at 75, we can calculate the number of girls in the class. You can do this:
0.6*75=45
or
60/100=x/75 and solve for x
Answer:
706.5 cm^2
Step-by-step explanation:
First we need to find the r to find the area of the base which is the circle so we use the volume to find r
V = 1/3πr^2h now adjust the equation for r
r = √3V/πh
r = √3(4710)/20π
r= 15
now that we have r, the base of cone is a circle so we use the area formula for circle
area = πr²
area = 3.14 (15)^2
area of base = 706.5 cm^2
Just substitue 
for 
in the expression.
Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
63 + 36...there is a common factor of 9
9(7 + 4) <== this is equivalent
63 + 36...there is a common factor of 3
3(21 + 12)...but this is not an answer choice...but it is equivalent
