Refer to the figure.
Let AB be the height of the pole; CD be the height of the transit; BC is the distance from the base of the pole to the transit.
Triangle ADE is a right triangle with angle D measuring 26 degrees. Using the tangent function, we have
So,
Therefore, the overall height of the pole is
The height of the pole is
66.53 feet.
<h2>
Answer:</h2><h2>n=-5</h2>
n
-
4
=
3
+
6
n-4=3n+6
n−4=3n+6
Solve
1
Add
4
4
4
to both sides of the equation
−
4
=
3
+
6
n-4=3n+6
n−4=3n+6
−
4
+
4
=
3
+
6
+
4
n-4+{\color{#c92786}{4}}=3n+6+{\color{#c92786}{4}}
n−4+4=3n+6+4
2
Simplify
3
Subtract
3
3n
3n
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere
To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
3 x 2 = 6 cups of concentrate
3.5 x 3 = 10.5 cups of water
Bob can make 6 cups of orange juice.
