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Katen [24]
2 years ago
8

Given that a = 10 cm and b = 13 cm, work out the height of the triangle.

Mathematics
1 answer:
aliya0001 [1]2 years ago
3 0

The Pythagorean theorem is also known as the Pythagoras' theorem. The height of the triangle is 12cm.

<h3>What is Pythagoras theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given a=10cm and b=13cm, therefore, the height of the triangle can be found using the Pythagoras theorem, therefore,

AB² = AD² + BD²

13² = AD² + 5²

169 = AD² + 25

AD = 12cm

Hence, the height of the triangle is 12cm.

Learn more about Pythagoras theorem:

brainly.com/question/12105522

#SPJ1

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Suppose that the inverse demand for a downstream firm is P = 150 − Q. Its upstream division produces a critical input with costs
kozerog [31]

Answer:

The marginal revenue is MT_d  =   116.66

Step-by-step explanation:

From the question we are told that

    The inverse demand for a downstream firm is  P = 150 -Q

    The cost of the critical input produced by  upstream division is  CU(Q_d) = 5(Q_d)^2

     The cost of the critical input produced by downstream firm  is  Cd(Q) = 10Q

Generally

The marginal revenue of the downstream firm - The marginal cost  of the downstream firm =  Net marginal revenue of downstream

i.e

    MR_d  - MC_d = MT_d

Also  

  The marginal revenue of the downstream firm - The marginal cost  of the downstream firm =  Marginal upstream cost  

       i.e

            MR_d  - MC_d = MC_u

So

     MR_d  - MC_d = MC_u

Generally the total revenue of  downstream firm is mathematically represented as

          TR  =  P *  Q

Here Q stands for quantity produced by the downstream firm  and  TR is the total revenue

         TR  =  [150 - Q] * Q

=>      TR  =  150Q - Q^2

Generally the marginal revenue of the downstream firm is mathematically evaluated as  

         MR_d =\frac{d (TR)}{d Q} =  150 - 2Q

Generally marginal downstream first cost is mathematically evaluated as

         MC_d = \frac{d(Cd(Q)) }{dQ}  =  10

Generally the net marginal revenue of the downstream firm is mathematically represented as

            150 - 2Q   -10  = MT_d

=>        MT_d  =   140 - 2Q

Generally the marginal upstream cost is mathematically represented a

               MC _u =\frac{d [CU(Q_d)]}{dQ_d}  = 10(Q_d)

Generally  Q_d = Q this because Q_d represents the quantity produced by the downstream firm and also  Q is associated with the cost of the downstream quantity  

So

            MC _u =\frac{d [CU(Q)]}{dQ}  = 10Q

=>         10(Q) =  140 -2Q

=>          Q =  11.67

So the net marginal revenue of the downstream firm is mathematically represented as

=>        MT_d  =   140 - 2(11.67)

=>        MT_d  =   116.66

     

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