Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:
So, we have:
Divide both sides by 2
Make L the subject
The area is calculated as:
Substitute
Open bracket
Differentiate with respect to W
Set to 0; to get the maximum value of W
Collect like terms
Divide by -2
So, the maximum area is:
Answer:
![\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%7D)
Step-by-step explanation:
use the Pythagoras Theorem
Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2.
Answer:
x^4
Step-by-step explanation:
Step-by-step explanation:
Angle A = 4x + 12 = 4(15) + 12 = 72°.
Acute is for angles that are less than 90°.
Obtuse is for angles that are between 90° and 180°, not inclusive.
Right is for angles that are 90°
Hence the answer is acute.
Answer: The mechanic worked for 4.25 hours for the fourth customer.
First find out the slope.
Y^2-y^1/x^2-x^1
210-90/3-1=60
Slope: 60
Then find out what the y-intercept is by plugging in values we know into y=mx+b
90=60(1)+b
30=b
Y=60x+30
Substitute the y with 285 to find out the x (hours)
285=60x+30
4.25=x
