Remark
Whatever the original price, he gets 70% in the first instance.
He gets 80% in the second instance.
He gets 90% in the third instance
His total income is 240 dollars.
Let the original price be x
Equation
70%x + 80%x +90%x = 240
70% = 0.7 ; 80% = 0.8 ;90% = 0.9
Solution
0.7x + 0.8x + 0.9x = 240 Take out x as a common factor and add the decimals.
x (0.7 + 0.8 + 0.9) = 240
2.4x = 240 Divide both sides by 2.4
x = 240/2.4
x = 100
So the watches should have brought in 3*100 = 300 dollars.
He only brought in 240 dollars.
He lost 300 - 240 = 60 dollars.
The answer is B.
The distance from the satellite to the Earth's horizon is 6398 km
<h3>
Pythagoras theorem</h3>
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:
Hypotenuse side² = Adjacent side² + Opposite side²
Let x represent the distance from the satellite to the Earth's horizon
Hence:
- x² = 6370² + 600²
- x² = 40936900
- x = 6398 km
The distance from the satellite to the Earth's horizon is 6398 km
Find out more on Pythagoras theorem at: brainly.com/question/343682
Answer:
21.0
Step-by-step explanation:
SOHCAHTOA
In this case you would be using TOA
tan (x) = opposite/ adjacent
tan (51) = x / 17
x = 17 tan (51)
x = 20.9932
x= 21.0
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
