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.
Answer:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Step-by-step explanation:
The general formula is y = mx +b.
m = slope.
b = y-intercept of the line
Answer:
x=2
Step-by-step explanation:
5x-7=5-x
6x-7=5
6x=12
x=2
Simple Interest = Loan + (Interest Percentage of Loan × number of years or months you are paying off)
SI = $45 850 + (4% of $45 850 × 1)
SI = $45 850 + ($1832)
SI = $47 412
The general form of a number in scientific notation is nx10^p where 1 ≤ n≤ 10 and p is an integer.
True statements
n could be equal to 5.9
p could be 0