Answer:
100units^2
Step-by-step explanation:
Using pythagoras theorem, it states that 36+64= area of the unknown
Answer:
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Step-by-step explanation:
Given in the question a piece of cardboard having dimensions 32 by 40
Suppose we cut square of length x
When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths
<h3>Step 1</h3>
Formula for the volume of box
v = height * length * width
v = x (32-2x) (40-2x)
v = 4x³ - 144x² + 1280x
<h3>Step 2</h3>
Find derivative and equal it to 0
dv/dx = 4(3)x² - (2)144x + 1280
0 = 12x² - 288x + 1280
x1 = 18.110
x2 =5.88
<h3>Step 3</h3>
Select x and plug value of x to find dimension
(32-2x) > 0
2x < 32
x < 16
so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Answer:
The total cost of the meal is $58.56.
Step-by-step explanation:
The question is asking for problem solving with percentages. In order to multiply by a percentage, we must first convert the percentage to a decimal by diving the percent by 100. Since the Hu family is going to leave a 15% tip on the pre-tax amount of $48, we will need to multiply 48 x .15 = $7.20. The Hu family must also pay a 7% sales tax on the cost of the meal. In order to find the cost of the meal, including tax, we take the price of 48 x 1.07 = $51.36, which would be the original cost plus an additional 7% tax. Lastly, we would need to include the tip to the post-tax total: $51.36 + $7.20 = $58.56.
<span>16407.
An integer is a whole number that doesn't need to be written using a fraction or decimals. (Some examples of integers are 4, 50, and -3; on the other hand, fractions or decimals like 1/2 or .3 are not).
Because we round up a number when the decimal is greater than or equal to .5 (which in this case it is), we round 16406.5 to the next biggest integer, 16407.</span><span />
