Anthony patella earns 300 a week working part time at his uncles restaurant how much does he make in a year
2 answers:
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Answer:
1) Solutions are x = 3 and x = 5/3
2) Solution are x ≤ 13/2 and x ≤ -3/2
Step-by-step explanation:
1) Given absolute inequality,
|3x-7| = 2
⇒ 3x - 7 = ± 2
⇒ 3x = 7 ± 2
2) l 2x-5 l ≤ 8
⇒ 2x-5 ≤ ±8
⇒ 2x ≤ 5 ± 8
Answer:
x ≈ 12.6 m
Step-by-step explanation:
By using cosine ratio in the given right triangle RTS,
cos(S)° =
cos(33)° =
cos(33)° =
x = 15.cos(33)°
x = 12.58
x ≈ 12.6 m
Therefore, measure of side ST = 12.6 m is the answer.
Answer:
V = 2000r³/3
Step-by-step explanation:
We know that the base is a circular disk, so it creates a circle on the xy plane. It would be in the form x² + y² = r². In other words x² + y² = (5r)². Let's isolate y in this equation now:
x² + y² = (5r)²,
x² + y² = 25r²,
y² = 25r² - x²,
y = √25r² - x² ---- (1)
Now remember that parallel cross sections perpendicular to the base are squares. Therefore Area = length^2. The length will then be = 2√25r² - x² --- (2). Now we can evaluate the integral from -5r to 5r, of [ 2√25r² - x² ]² dx.
As you can see, your exact solution would be, V = 2000r³/3. Hope that helps!