sin 30 = .5 and cos 60 = .5
sin 60 = sqrt(3) / 2 and cos 30 = sqrt(3) / 2
answer - cos 60 and cos 30
Answer:
1000
Step-by-step explanation:
volume of prism formula=b*w*h(base times width times height)
10*10*10(10^3)=1000
Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
The ratio of the areas is the ratio of the squares of the sides ( which is 10:15 or 2:3) so the answer is
2^2 : 3^2 = 4:9.
The ratio of the perimeters = ratio of corresponding side = 2:3.
