Answer:
139 ft
Step-by-step explanation:
So the zip line forms a right triangle. The height of the triangle is 150 ft, and the opposite angle is 40°. The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.
tan 40° = 150 / x
x = 150 / tan 40°
x ≈ 179 feet
But this includes the 40 ft long body of water, so the amount of ground covered is:
179 ft - 40 ft = 139 ft
x=1
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Answer:
x
=
0
y
=
−
2
Explanation:
simply subtract each term in the second equation from the first equation:
3
x
+
4
y
=
−
8
3
x
+
16
y
=
−
32
(
3
x
−
3
x
)
+
(
4
y
−
16
y
)
=
(
−
8
−
(
−
32
)
)
(
0
)
+
(
−
12
y
)
=
(
−
8
+
32
)
−
12
y
=
24
y
=
−
2
now use either original equation to solve for
x
:
3
x
+
4
y
=
−
8
3
x
+
4
(
−
2
)
=
−
8
3
x
−
8
=
−
8
3
x
=
0
x
=
0
Answer:
3
Step-by-step explanation:
3y=12y-27
27=9y
y=3
Answer:
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