Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Answer:
The answer to your question is
a) Poster width = 3 in
lenght = 9 in
b) banner
width = 2 in
lenght = 10 in
Step-by-step explanation:
a) For the poster
width = x
lenght = 3x
Perimeter of a rectangle = 2base + 2 height
= 2(x) + 2(3x) = 24
2x + 6x = 24
8x = 24
x = 24/8
x = 3
width = 3 in
lenght = 3(3) = 9 in
b) For the banner
width = y
lenght = 5y
Perimeter of a banner = 2 base + 2 height
2 (y) + 2(5y) = 24
2y + 10y = 24
12y = 24
y = 24/12
y = 2
width = 2 in
lenght = 5(2) = 10 in
Answer:
Monica's age = 34 years
Her daughter's age = 10 years
Step-by-step explanation:
Let Monica's age = x
Let her daughter'sage = y
x + y = 44 -------> equ 1
After 2 years:
Monica's age = x + 2
Her daughter's age = y + 2
x + 2 = 3 * (y+2)
x + 2 = 3y + 6
x = 3y + 6 -2
x = 3y + 4
Put x value in equ 1:
3y + 4 + y = 44
4y = 44 - 4
4y = 40
y = 40/4
y = 10
x = 44 -10
x = 34
The answer is t=4 hope it right
Men: 132
Women: 90
Children: 36
Total: 258