Answer: 832 cm².
Step-by-step explanation:
1. To calculate the lateral area of the prism by using the net you must:
- Calculate the perimeter of the base:

Where l is the lenght and w is the width:

Then:

- Now you must multiply the perimeter by the height. The height is 13 cm.
Then, the lateral surface area is:

Answer:
m=3 and m=-3
Step-by-step explanation:
m^2 = 9
m = square root of 9
Since a positive or negative number squared produce a positive value, the answer is either positive or negative.
Answer:
5x^2-6x-10
Step-by-step explanation:
(2x^2-2x)-(-3x^2+4x+10)
2x^2-2x+3x^2-4x-10
5x^2-2x-4x-10
5x^2-6x-10
Step-by-step answer:
The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.
Say, the company made and sold 100 items of the product.
The revenue = 100*5 = $500.
On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so
replacement cost = 2* 100 = 200
So net profit for 100 items = $500 -$200 = $300
Net profit for each item = $300/100 = $3.00
Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.
Answer:
Sabemos que:

y tenemos que:

Con esto podemos encontrar el valor de a:
8*a/(a+ 4) = 6
8*a = 6*(a + 4) = 6*a + 24
8a - 6a = 24
2a = 24
a = 24/2 = 12.
Tambien sabemos que:

Y de ahí podemos despejar b:
(16*b)/(b + 8) = 12
16*b = 12*(b + 8) = 12b + 96
16b - 12b = 96
4b = 96
b = 96/4 = 24
Entonces tenemos a = 12 y b = 24, y el MH de a y b es:
MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16