There are blue, red and yellow counters in a bag in the ratio 9:6:3.
2 answers:
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9514 1404 393
Answer:
- cable length: 300.2 ft
- anchor distance: 193.0 ft
Step-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
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Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.
Here, we are given that our sphere has a radius of 4 units.
So plugging into the formula, we have .
Start by simplifying the exponent.
(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.
So we have .
Next, we multiply (4/3)(64) which can
be thought of as (4/3)(64/1)
So multiplying across the numerators and across the denominators,
we have .
Answer:
The answer to your question is x = or x = 5
Step-by-step explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x = or x = 5