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Mashutka [201]
3 years ago
11

What is the surface area of the box 12in 4in 3in

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0
Find the area of the base:
(4)(3) = 12sqft
Find the area of the sides:
(4)(12) = 48sqft
There are 2 bases and 4 sides, therefore:
12(2) + 48(4) = 24 + 192 = 216sqft
Hope this helps :)
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A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu
Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

16(36-f) = f^2 - 48f + 576

576-16f = f^2 - 48f + 576

-16f = f^2 - 48f

Collect like terms

f^2 - 48f + 16f = 0

f^2 -32f = 0

Factorize

f(f - 32) = 0

f = 0 or f = 32

f can not be 0 because some units must be ordered.

So, f = 32

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2 years ago
What is a denominator?
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Here's picture to show what is a denominator:


6 0
3 years ago
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el re
spayn [35]

Answer:

El padre tenía un capital de 60,000 euros.

El hijo mayor recibe 12,000 euros.

El hijo segundo recibe 15,000 euros.

El hijo tercero recibe 33,000 euros.

Step-by-step explanation:

Sea x el capital total del padre y a,b,c son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:

Hijo mayor

a = \frac{1}{5}\cdot x (1)

Hijo segundo

b = \frac{1}{4}\cdot x (2)

Hijo tercero

c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000 (3)

De (3) tenemos que el capital del padre es:

x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4}  }

x = 60000

El padre tenía un capital de 60,000 euros.

Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:

a = \frac{1}{5}\cdot x

x = 12000

El hijo mayor recibe 12,000 euros.

b = \frac{1}{4}\cdot x

b = 15000

El hijo segundo recibe 15,000 euros.

4 0
3 years ago
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