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pashok25 [27]
3 years ago
9

HURRY PLEASE HELP ME? WiLL GIvE brainliest.

Mathematics
1 answer:
solniwko [45]3 years ago
3 0
Subtitute the pair (3,28) to x and y, if the result in right side is -8, then the pair is a solution to the equation

2x - y/2
= 2(3) - 28/2
= 6 - 14
= -8

The result is -8, so the pair (3,28) is a solution

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Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2
Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a =  \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b=  \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41

Apply Hero's formula;

A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2

Therefore, area of the triangle is 5.04 units²

5 0
4 years ago
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