:
he graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the
system of equations that has the solution which corresponds to a point at (12, -39)
You have to use the formula of Pythagoras
leg (call it AB) = √hypotenuse²-leg₁² = √20²-15² = √400-225 = √175 ≈ 13,22 inches
Answer:
tan∅ = 3√29/10
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
cos∅ = adjacent/hypotenuse
Since we are given cos∅ = 10/19, we know that one leg is 10 and the hypotenuse is 19. We need to find the missing leg length:
10² + b² = 19²
b² = 19² - 10²
b = √261
b = 3√29
We know that tan∅ equals opposite over adjacent. Our adjacent is given to us by cos∅, so we simply plug in our values:
tan∅ = opposite/adjacent
tan∅ = 3√29/10
Profit in 2006: $7 million
First convert the percent into decimal: 9% = 0.09
Then use the percent increase then multiply by the number using this formula: ( 1 + r ) = ( 1 + 0.09) = 1.09
You only want to find how much profit in 2006, so you do this:
2003: 5.4
2004: 5.4 (1.09) = 5.886
2005: 5.886 (1.09) = 6.41574
2006: 6.41574 (1.09) = 6.99316
Then you take 6.99316 and round to the nearest tenth of a million dollars.
7 million dollars.
