Answer:
A
Step-by-step explanation:
1) first there are a few rules we need to know:
a) the sum of any two sides of a triangle is always larger than the 3rd side
b) the difference between any two sides of a triangle is always smaller than the 3rd side;
hence,
3+4=7
4-3=1
triangle 3,4,5 follows all the rules,
triangle 13,2,11:
11+2=13
the sum of any two sides must always be GREATER than the 3rd side-so this is not an option
triangle 10,4,5
5+4=9
9<10
not an option
Answer: 72 degree and 18 degree
Answer:
Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200
Step-by-step explanation:
p = 400 - 4x
4x = 400 - p
x = (400 - p) / 4 → x = 100 - p/4
Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)
Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4
P ed = <u>-1</u> x<u> p </u>
4 (400 - p)/4
= <u>-1</u> x <u> 4p </u> = -p / (400-p)
4 (400 - p)
Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).
So, Ped = p / (400 - p)
Demand is Elastic when P.ed > 1
p / (400-p) > 1
p > 400 - p
p + p > 400 → 2p > 400
p > 400 / 2 → p > 200
Demand is inelastic when P.ed < 1
p / (400-p) < 1
p < 400 - p
p + p < 400 → 2p < 400
p < 400 / 2 → p < 200
it took Kenneth 32.96 seconds to finish the race this week.
5t+3=2t+15
combine the t's by adding 2t to 5t
7t+3=15
subtract 15 by 3
7t=12
divide by 7
t is about 1.7
