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xxMikexx [17]
1 year ago
6

a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

Mathematics
1 answer:
STatiana [176]1 year ago
8 0

Answer:

As per Provided Information

  • Area of rectangle is 54 square inches
  • Width of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

\boxed{\bf  \: Area_{(Rectangle)}  = length \:  \times width}

On substituting the value we obtain

\sf \qquad \: \longrightarrow 54 = length \times 9 \\  \\  \\  \sf \qquad \: \longrightarrow \cfrac{54}{9}  = length \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  =  \cfrac{54}{9}  \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  =  \cancel \cfrac{54}{9}  \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  = 6 \: inches

<u>Therefore</u><u>,</u>

  • <u>Length </u><u>of </u><u>the </u><u>rectangle </u><u>is </u><u>6</u><u> </u><u>inches </u><u>.</u>
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Answer:

-3

1.1 ×10

Explanation: when you divide it it comes to .0011

and with significant figures you move the decimal over until it is right after the first number that is not zero. so that would change .0011 to 1.1

also with significant figures if you move the decimal to the right you exponent by the 10 will be negative and if you move it to the left it will be positive. so I. this case we are moving g to the right 3 digits so our exponent will be negative 3.

and because the answer is still really. 0011 you multiply

-3

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3 years ago
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Answer:

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Step-by-step explanation:

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.Sally is comparing 2 types of house insurance. Both companies provide the same service; however,
Nostrana [21]

Answer:

car help

Step-by-step explanation:

In order to determine which type of house insurance would be considered as cheapest first it is necessary to determine either monthly or either weekly

As we know that

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So For Car Help, the monthly would be

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= $34.40

And for Car safety, the quoted price is $36.10 per week

So according to the above calculation the car help would be choose as the cheapest

6 0
3 years ago
10.) Part A: What is the area, in square feet, of the kitchen?
just olya [345]

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

<h3>How to calculate the area?</h3>

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

brainly.com/question/25292087

4 0
1 year ago
Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$
Viktor [21]

When n=0, we have

5^{3^0} + 1 = 5^1 + 1 = 6

3^{0 + 1} = 3^1 = 3

and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)

Suppose this is true for n=k, that

3^{k + 1} \mid 5^{3^k} + 1

Now for n=k+1, we have

5^{3^{k+1}} + 1 = 5^{3^k \times 3} + 1 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k}\right)^3 + 1^3 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k} + 1\right) \left(\left(5^{3^k}\right)^2 - 5^{3^k} + 1\right)

so we know the left side is at least divisible by 3^{k+1} by our assumption.

It remains to show that

3 \mid \left(5^{3^k}\right)^2 - 5^{3^k} + 1

which is easily done with Fermat's little theorem. It says

a^p \equiv a \pmod p

where p is prime and a is any integer. Then for any positive integer x,

5^3 \equiv 5 \pmod 3 \implies (5^3)^x \equiv 5^x \pmod 3

Furthermore,

5^{3^k} \equiv 5^{3\times3^{k-1}} \equiv \left(5^{3^{k-1}}\right)^3 \equiv 5^{3^{k-1}} \pmod 3

which goes all the way down to

5^{3^k} \equiv 5 \pmod 3

So, we find that

\left(5^{3^k}\right)^2 - 5^{3^k} + 1 \equiv 5^2 - 5 + 1 \equiv 21 \equiv 0 \pmod3

QED

5 0
1 year ago
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