Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
Answer: Friday night. Least expensive ticket
Step-by-step explanation:
Friday night.: 48/3 =16 so each ticket costs $16
Saturday night 36/2= 18 so each ticket costs $18
Brother collects 96/6 = 16. So each person had enough for a $16 ticket. They can go to the Friday night concert. They paid for the least expensive ticket.
For this case we have to, by definition:

This means that, the cosine of the angle F, will be equal to the leg adjacent to the angle on the hypotenuse of the triangle.
So, by clearing h we have:

Rounding out the value of h we have:

Answer:
Option B
in the top left box there would be the number 8 because there are 8 boys who have pets
in the top right box there would be the number 5 because there are 5 boys who don’t have pets
in the bottom left box there would be the number 11 because there are 11 girls who have pets
in the bottom right box there would be the number 6 because there are 6 girls who don’t have pets
Answer:
5391.76
Step-by-step explanation:
We have a rectangle and 2 semicircles
First find the area of the rectangle
A = l*w
A = 44*88= 3872
Then we know that 2 semicircles = 1 circle
The area of a circle is
A = pi r^2
The diameter is 44 so the radius is 22
A = pi * 22^2
A = pi484
A =1519.76
Add the areas together
1519.76+3872
5391.76