Answer: You simply need to match each fraction to where they belong
Step-by-step explanation:
Answer:
; 
Step-by-step explanation:
we know that
step 1
Find the inequality of the solid line x+3y=6
The solution is the shaded area below the solid line
therefore
The equation of the inequality is

step 2
Find the inequality of the solid line y=3x-1
The solution is the shaded area above the solid line
therefore
The equation of the inequality is

therefore
The system of linear inequalities is
; 
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
Answer: i dont know
Step-by-step explanation: im not shur but what to help sorry
Answer:
Step-by-step explanation:
(a)Mortgage = 332000 - 42000 = 290000
15 * 12 = 180 months
Total monthly payments = 180 * 2447.19 =440494.2
Total = 440494.2 + 42000 = 482494.2
(b) Interest = 482494.2 -290000
= 192494.2