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3 years ago

What is the area of a room that is 3 3/4 yards long and 3 1/3 yards wide

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

Answer:

12½ yards²

Step-by-step explanation:

Area = length × width

Area = 3¾ × 3⅓

= 15/4 × 10/3

= 25/2

= 12½ yards²

Andreas93 [3]3 years ago

6 0

Answer:

12 1/2 yd^2

Step-by-step explanation:

The area is length times width

A = 3 3/4 * 3 1/3

Change to improper fractions

A = 15/4 * 10/3

Rewriting

A = 15/3 * 10/4

= 5 * 5/2

= 25/2

Changing back to a mixed number

= 12 1/2

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If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

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Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

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Step-by-step explanation:

$h(x)=(f \circ g)(x)$

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

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