What is the solution of the following system? system
A. infinitely many solutions
B. no solutions
C. (3, 8)
D. (–3, –8)

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Ответ:

payen96151

29.09.2020

Mathematics

a= 151.87 units

Step-by-step explanation:

Given:

Consider,a right triangle Δ ACB with Angle C as 90°,

and side a, b, and c be the sides opposites to the respective angles. Such that

c = Hypotenuse = 155

b = Shorter leg = 31

a = Longer leg = ?

To Find:

a = Longer leg = ?

Solution:

In Right angle Δ ACB

If we apply Pythagoras Theorem we get

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Now substituting the given above values we get,

$c^{2}= b^{2} + a^{2}\\x^{2} 155^{2}= 31^{2}+ a^{2}\\ 24025=961+a^{2}\\\therefore a^{2}=24025-961\\a^{2} = 23064\\ a=\pm 151.8683\\\therefore a = 151.87 .......\textrm{Distance cannot be in negative}$

∴ a= 151.87 units......(rounded to nearest hundredth)

Me asap ! if c is the hypotenuse of a right triangle, find the missing side. if necessary, round t

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What is the solution of the following system? system A. infinitely many solutions B. no solutions C. (3, 8) D. (–3, –8)