Answer: there are 200 girls in the school.
Step-by-step explanation:
In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,
Total ratio = 4 + 5 = 9
If there are a total of 450 students, it means that the number of girls in the school would be
Proportion of girls/ total ratio × total number of students. Therefore,
The number of girls is
5/9 × 450 = 200
Answer:
a-b b-50%
Step-by-step explanation:
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Answer: 0.5
Step-by-step explanation:
L×L= area
L^2=0.25
Square root both sides
L=√0.25
L=0.5
Integration by parts will help here. Letting
and
, you end up with
and
. Now
For the remaining integral, setting
gives
, so
Putting everything together, you end up with
