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Ierofanga [76]
4 years ago
6

A kite is flying at an angle of elevation of about 40 degrees. all 80 m of string have been let out. ignoring the sag in the str

ing, find the height of the kite to the nearest 10 m.

Mathematics
1 answer:
VLD [36.1K]4 years ago
4 0
Sin 40° = h / 80 m
0.6427876 = h / 80 m
h = 0.6427876 · 80 m
h = 51.423 m ≈ 50 m ( to the nearest 10 m )
Answer:
The height of the kite is about 50 m.
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Step-by-step explanation:

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Answer

x = 10, y = 6

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Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
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y
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(
y
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6
)
2
−
36
(
y
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Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
3 years ago
hank has a triangular rug in his bedroom. the perimeter of the rug is 14 feet . two of the side lengths are 6 feet . what is the
Mariana [72]

Answer:

The 3rd side of the rug is 2 ft long

Step-by-step explanation:

6+6=12

14-12=2

2 ft long

4 0
3 years ago
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