All categories

3 years ago

A rug has an area of 122. 12 ft.² the rug is 8.7 feet wide to the nearest hundredth how many feet long is the rug

Mathematics

1 answer:

daser333 [38]3 years ago

5 0

Let x be the length of the rug
Area = length x width
122.12 = (x)(8.7)
x = 122.12/8.7
= 14.04 feet

You might be interested in

Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

2 years ago

What is the value of i4?

natima [27]

Answer:

Step-by-step explanation:

You want to know the value of i^4.

<h3>Powers of i</h3>

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

<em>Additional comment</em>

As you can see from the evaluation process, ...

i¹ = i

i² = -1 . . . . . definition of i

i³ = -i

i⁴ = 1

The sequence repeats for higher powers.

8 0

1 year ago

Find the total amount in the compound interest account.

Evgesh-ka [11]

$\bf \qquad \textit{Compounding Continuously Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1740\\
r=rate\to 12\%\to \frac{12}{100}\to &0.12\\
t=years\to &5
\end{cases}
\\\\\\
A=1740\cdot e^{0.12\cdot 5}$

bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.

3 0

3 years ago

In the diagram m angle ACB = 61<br> Find m angle BCD

Marina86 [1]

we are given that

angle(ACF)=90

angle(ACB)=61

sum of all angles along any line is 180

so, we get

angle(ACF)+angle(ACD)=180

we can plug value

90+angle(ACD)=180

angle(ACD)=90

now, we can use formula

angle(ACD)=angle(ACB)+angle(BCD)

now, we can plug values

and we get

90=61+angle(BCD)

90-61=61-61+angle(BCD)

angle(BCD)=29................Answer

7 0

3 years ago

Read 2 more answers

Point E is located at (-5,2). Point M is the reflection of point E across the y-axis. What is the distance between E and M?

MArishka [77]

Answer:

The distance is Ten

4 0

2 years ago