The inequality that represents the amount of money Alex needs to earn is y = 11.50x and 9x + 100.
<h3>How to depict the information?</h3>
The slope and the y intercept of both of the works will be:
For the tech company:
y = 11.50x
m = 11.50
y = 11.50(8 × 20)
y = 11.50(160)
y = 1840
For the amusement park
amusement parky = 9x + 100
amusement parky = 9x + 100y = 9(320) + 100
y = 2880 + 100
y = 2980.
When he wants to make the exact amount, the number of hours will be:
9x + 100 = 2200
9x = 2200 - 100
9x = 2100
x = 233.3
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Answer:
The distance of the overpass above the ground is approximately 26.795 ft
Step-by-step explanation:
The parameters given are;
The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft
The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°
By trigonometric ratios, we have;
The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground
The opposite side to the 15° is the distance of the engineer from the base of the overpass
Therefore;
Tan(15°) the height of the overpass=
length
The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.
Answer: 13 hours
Step-by-step explanation:
Money earned per hour = $11.00
Amount he plans to earn = $143. 00
Number of hours he will have to work to reach his goal = 143.00/11.00 = 13.
Therefore, Bryon will have to work of 13 hours to earn $ 143.00
If it takes .1 hours to walk 2/6 miles, then it takes one hour to walk 20/6 miles.
20/6 miles = 3.33 miles
So that is 3.33 miles per hour.
Answer:
1) a) yes
b) no
c) a² - 39
(a)² - (sqrt(39))²
(a - sqrt(39))(a + sqrt(39))
This quadratic can be split into real factors, but not rational
sqrt(39) is a real number, but not rational
