Answer:
Both sizes are better because they cost Same.
Step-by-step explanation:
Consider the provided information.
A coupon offers $1.00 off the 16
Quantity Price
Pint 16 $3.98
Quart 32 $5.98
If he gets $1 off for the 16-ounce size. The price will be:
3.98-1=2.98
He needs to pay $2.98 for 16-ounce pint.
Now find which one is better by calculating the unit rate.
Therefore, the cost of 1lb would be $0.186
For Quart 32 find the unit rate as shown:
Therefore, the cost of 1lb would be $0.186
Hence, both of the size are better as the unit rate is same.
The area of the triangle is
A = (xy)/2
Also,
sqrt(x^2 + y^2) = 19
We solve this for y.
x^2 + y^2 = 361
y^2 = 361 - x^2
y = sqrt(361 - x^2)
Now we substitute this expression for y in the area equation.
A = (1/2)(x)(sqrt(361 - x^2))
A = (1/2)(x)(361 - x^2)^(1/2)
We take the derivative of A with respect to x.
dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]
dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]
Now we set the derivative equal to zero.
(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0
-2x^2 + 361 = 0
-2x^2 = -361
2x^2 = 361
x^2 = 361/2
x = 19/sqrt(2)
x^2 + y^2 = 361
(19/sqrt(2))^2 + y^2 = 361
361/2 + y^2 = 361
y^2 = 361/2
y = 19/sqrt(2)
We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
Answer: 63 degrees.
Step-by-step explanation:
7x + 4 +5x+3+2x+5=180 degrees
14x+12=180 -12 Degrees
14x / 14 = . 168 /14
x=12
5(12) +3
63
