The area of given triangle is: 22.1184
Step-by-step explanation:
When we only know two sides of a triangle and the included angle then the area of triangle is given by:
Given
b = 9
c = 6
∠A = 125°
So the formula will be:
Hence,
The area of given triangle is: 22.1184
Keywords: Triangle, Area
Learn more about triangle at:
#LearnwithBrainly
m<1 is 50
m<2 is 130
m<3 is 50
m<4 is 130
m<5 is 40
m<6 is 140
m<7 is 90
m<8 is 140
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K, remember
(ab)/(cd)=(a/c)(b/d) or whatever
also
and
and
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and
and
and
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
so
=
=
=
=
=
=
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
Answer: A
Step-by-step explanation:
-12 is made positive so the equation is turned to 12-3 which is 9
