Answer:
30√85 or 276.5863 meters
Step-by-step explanation:
Use pythag theorom. a^2+b^2=c^2
180^2+210^2=c^2
c=276.5863
The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.
<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>
Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.
Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.
Read more on triangle inequalities;
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Answer:
even numbers greater than 50 and prime numbers greater than 50
Step-by-step explanation:
An event can be considered as mutually exclusive in probability and statistics when two sample propositions cannot be held as true by any means. Therefore, the pair that clearly illustrates a mutually exclusive event would be "even numbers greater than 50 and prime numbers greater than 50."
The only prime number that is even is 2, so even numbers over 50 would be divisible by 2, and then not prime.
3 * 1 * -1 because 3 times one is 3 and that times a negative turns it into a negative. ( positive * negative = negative)
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
