Answer:
252 cm²
Step-by-step explanation:
Area of a rectangle is width times length:
A = WL
If the width and length increase by a factor of 1.5:
A = (1.5 W) (1.5 L)
A = 2.25 WL
So the area increases by a factor of 2.25.
2.25 × 112 cm² = 252 cm²
If we take the Pythagorean identity identity sin^2 x + cos^2 x = 1 then
<span>(cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)
The numerator becomes 1 since addition order matters not.
1 / </span>(cot^2 x - csc^2 x)
If we factor the denominator out a negative
1 / -(<span>csc^2 x - cot^2 x)
Consider </span><span>sin^2 x + cos^2 x = 1. Divide both sides by sin^2 x to get
1 + cot^2 x = csc^2 x
Subtract both sides by cot^2 x to get 1 = csc^2 x - cot^2 x.
Replace the denominator
1 / -(1) = -1
For cos</span>^2 θ / sin^2 θ + csc θ sin θ, we use cscθ = 1/sinθ and cosθ/sinθ = cotθ so
= cos^2 θ / sin^2 θ + 1
= cot^2 θ + 1
We use 1 + cot^2 <span>θ = csc^2 </span>θ to simplify this to
= csc^2 θ
Answers: -1
csc^2 θ
Answer:
144/91
Step-by-step explanation:
24/7 ÷ 13/6
Keep the first fraction the same, change the sign, and flip the last fraction to solve
24/7 × 6/13 = 144/91
Answer:
The answer should be x=0, hope this helps:)
Answer:
A. x + y = 4000
5x + 3y = 15000
Step-by-step explanation:
Total amount raised = $15000
cost of adult tickets = $5
cost of student tickets = $3
Total number of tickets sold = 4000
number of adult tickets sold = x
number of student tickets sold = y
Then we can say,
total number of ticket sold = number of adult tickets + number of student tickets
4000 = x + y
⇒ x + y = 4000 ............. 1
Also,
5x + 3y - 15000 ............. 2
the equations required are:
x + y = 4000
5x + 3y - 15000
