Answer:
7/25
Step-by-step explanation:
θ lies in quadrant ii
so 2θ lies in quadrant iv
csc θ=5/3
sin θ=3/5 (sin θ=1/csc θ)
[cos(α+β)=cosαcosβ-sinαsinβ]
cos (2θ)=cos(θ+θ)=cos θ cos θ-sin θ sin θ=cos² θ-sin ²θ=1-sin²θ-sin²θ=1-2sin²θ
=1-2 (3/5)²
=1-2(9/25)
=1-18/25
=(25-18)/25
=7/25
A- the length of the side of a square
P = 16
P = 4a → 4a = 16 |:4 → a = 4
The diagonal of the square: d = a√2
therefore d = 4√2
Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.
Step-by-step explanation:
Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.
Answer:
30 and 26
Step-by-step explanation:
30 plus 26 is 55
30 minus 26 is 4
The first thing we must do for this case is to see how many representatives from each country attended.
We have then:
Argentines = (1/6) * (120) = 20
Chileans = (1/5) * (120) = 24
Bolivians = (1/4) * (120) = 30
Venezuelans = (1/4) * (120) = 30
Adding we have:
20 + 24 + 30 + 30 = 104
Therefore the number of Americans is:
120-104 = 16
Answer:
16 Americans attended the wind energy conference
