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3 years ago

Our less than the product of one and a number x

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

x-1

thats if u mean 1 less

or if u want 1x - 1

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What is the length of bc? AC = 8 AB = 17

padilas [110]

Using Pythagoras theorem,

$17^2=8^2+(BC)^2\implies BC=\sqrt{17^2-8^2}=15$ .

Hope this helps.

5 0

3 years ago

a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that i

Juliette [100K]

Answer:

The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches

Step-by-step explanation:

The given dimension of the steel sheet are;

The width = 8.5 inches

The length = 11 inches

Let 'x' represent the side length of the squares cut out, we have;

The length of the box formed, l = 11 - 2·x

The width of the box formed, w = 8.5 - 2·x

The height of the box, h = x

The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x

The maximum or minimum volume is found from dV/dx = 0 at max. or min.

dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0

Which gives;

x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)

x = 4.915 or 1.585

When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65

When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15

Therefore, the local maximum occurs at x ≈ 1.585

Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.

5 0

3 years ago

What is the answer of 6.39 ÷ 0.3

Ad libitum [116K]

You can use a calculator online you know? It is 21.3

4 0

3 years ago

Read 2 more answers

Roof trusses often use right triangles to make a flimsy 2 × 4 more rigid to hold up the weight of the roof. If a house is 40 fee

masha68 [24]

The side length would be 23.094010767585

4 0

3 years ago

A punch recipe that serves 24 people calls for 4 Liters of lemon lime soda 2 pints of sherbet and 6 cups of ice how much of each

NARA [144]

If we take the amount of people we want to serve and put it over the amount the recipe serves we get this
$\frac{18}{24} = \frac{3}{4}$
We then multiply this times the portion of ingredients the original recipe calls for and get our amount needed to serve only 18 people
$lemon \: lime \: soda \: \\ \frac{3}{4} \times 4 \: liters \: = \frac{12}{4} \: liters = 3 \: liters$
$sherbet \\ \frac{3}{4} \times 2 \: pints \: = \frac{6}{4} \: pints = \frac{3}{2} \: pints$
$ice \\ \frac{3}{4} \times 6 \: cups = \frac{18}{4} \: cups = \frac{9}{2} \: cups$

7 0

4 years ago