Can someone please help me out I’m so lost !!!!!!!
2 answers:
Hello!
Let's quickly review our trigonometric ratios.
Sin= Opposite/Hypotenuse
Cos= Adjacent/Hypotenuse
Tan= Opposite/ Adjacent
Let's find these for angle G.
Opposite:15
Adjacent: 8
Hypotenuse: 17
First of all, we have sin G= 8/15. The adjacent side is 8, which is not the opposite or hypotenuse, so A is incorrect.
We have cos G= 8/15. That is the adjacent divided by the opposite, not adjacent over hypotenuse, so B is incorrect.
Finally, we have sin G= 15/17. This is the opposite divided by the hypotenuse, so it is correct.
Therefore, our answer is .
I hope this helps!
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The path should be 6.38 feet wide
Let x be the width of the path.
Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.
So, the dimensions are 15 + x by 10 + x respectively.
So, the area of the rectangular plot plus uniform path is A
A = (15 + x)(10 + x)
Since the combined area of the path is 350 square feet, A = 350 ft²
So, (15 + x)(10 + x) = 350
Expanding the brackets, we have
150 + 15x + 10x + x² = 350
x² + 25x + 150 = 350
x² + 25x + 150 - 350 = 0
x² + 25x - 200 = 0
Using the quadratic formula, we find x, the width of the path
So,
Since x cannot be negative, we choose the positive answer.
x = 6.375 ft
x ≅ 6.38 ft
So, the path should be 6.38 feet wide
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