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3 years ago

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

1 answer:

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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Is 2493 closer to 2400 rounded or 2,353

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3 years ago

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A bus driver drives 547.25 miles on day 1 of a trip. On day 2, he drives 327.875 How many more miles did he drive the first day

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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?

DanielleElmas [232]

<span>denominator is </span>number below the line in a common fraction.

Here's picture to show what is a denominator:

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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: