Tanα=y/x
y=xtanα, we are told that x=25ft and α=30°
y=25tan30° ft
y≈14.43 ft (to nearest hundredth of a foot)
Since their home is 20 feet from the base of the tree, it poses no risk right now.
The domain is all real numbers bc the domain is all x values and the lines continue going left and right and do not stop
Answer:
The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).
Step-by-step explanation:
To solve the quadratic, write the quadratic in standard form and factor the equation.
x² - 4x = 60
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x = 10 and x = -6
If you increase a number by 4.5%, then you're adding 4.5% of that number to 100% of that number. So essentially you just multiply 14187.13 by 104.5%, or 1.045 to find the answer, which is 14,825.55.
7/100 = 0.07
0.07 * 12.5 = 0.88
20/100 = 0.2
0.2 * 12.5 = 2.5
2.5 + 0.88 = 3.38
3.38 + 12.50 = 15.88
You spend a total of $15.88.