10 pound is more but not by much
Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
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After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.
3x - 7
The perimeter is the sum of all 3 sides of the triangle
To find the third side subtract the sum of the 2 known sides from the perimeter
x + 3 + 2x + 4 = 3x + 7
third side = 6x - (3x + 7 ) = 6x - 3x - 7 = 3x - 7
Answer: x= 1 , y = 7
Step-by-step explanation:
y = -6x + 13 ................. equation 1
y = 3x + 4 ................ equation 2
substitute y = 3x + 4 into equation 1 , then we have
3x + 4 = - 6x + 13
collect the like terms , we have
3x + 6x = 13 - 4
9x = 9
x = 1
substitute x = 1 into equation 2 , we have
y = 3(1) + 4
y = 3 + 4
y = 7
Therefore : x = 1 and y = 7