All categories

2 years ago

Your lab bench has a surface area of 5.2 square feet (5.2 ft2). what is the surface area in square inches (in2)?

Mathematics

1 answer:

Radda [10]2 years ago

8 0

We are given that the surface area A is:

A = 5.2 ft^2

To convert this into in^2, we know that there are 12 inches in 1 feet, so 12 in = 1 ft:

A = 5.2 ft^2 * (12 in / 1 ft)^2

A = 748.8 in^2

You might be interested in

5 1/2 + 3 4/5 + 1 1/4 =

ratelena [41]

Answer:

$10\frac{11}{20}$

Step-by-step explanation:

$5\frac{1}{2} + 3\frac{4}{5} + 1\frac{1}{4}$

1.Find the LCM(Least Common Multiple).

That would be 20.

2.Multiply so all denominators are equal.

$5\frac{10}{20} + 3\frac{16}{20} + 1\frac{5}{20}$

3. Add

$9\frac{31}{20}$

4. Simplify

$10\frac{11}{20}$

6 0

1 year ago

<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

Susan rolled a die 642 times. Which of the following would be a good estimate of the number of times she rolled the number 3 on

Zanzabum

Answer:

Step-by-step explanation:

Becasue a di has 6 sides so you would just divide 642 by 6

6 0

2 years ago

At Pizza Pi, 24% of the pizzas made last week had extra cheese. If 12 pizzas had extra cheese, how many pizzas in all were made

myrzilka [38]

Answer: 50

Step-by-step explanation:

Let the number of pizza made last week be represented by y.

From the question, we can form it into:

24% of y = 12

24/100 × y = 12

0.24 × y = 12

0.24y = 12

y = 12/0.24

y = 50

50 pizza were made last week.

6 0

2 years ago

What is an equivalent expression to -15.66 ÷ 5.8?

PIT_PIT [208]

-15.66 ÷ 5.8 = -156.6 ÷ 58 = -1566 ÷ 580

3 0

3 years ago