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Fittoniya [83]
4 years ago
14

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the

rectangle?
Which of the following equations could be used to solve the problem?

2x + 2(x - 3) = 54
2x + 2x - 3 = 54
2x - 3 = 54
Mathematics
1 answer:
yaroslaw [1]4 years ago
3 0
Let the length be x and the width be x - 3
Perimeter = 2(length + width) = 2(x + x - 3) = 54
2x + 2(x - 3) = 54
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PLS HELP ASAP! Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for π
Sholpan [36]

Answer:

56.52 cm³

Step-by-step explanation:

\boxed{volume \: of \: cone =  \frac{1}{3} \pi {r}^{2}h }

Diameter= 2 ×radius

Radius

= 6 ÷2

= 3cm

Height, h= 6cm

Volume of the cone

=  \frac{1}{3} (3.14)( {3}^{2} )(6)

= 56.52 cm³

5 0
3 years ago
The numbers 0.23350 has how many significant figures?
Alenkinab [10]

Significant figures are the digits that carry meaning to its measurement. Significant figures includes all the numbers excluding all the leading zeros, trailing zeros. All non zero digits are significant. Zeros between the non zero digits are significant. In a decimal number, trailing zeros are significant.

Now, consider the given number 0.23350

Since, in a decimal number all the trailing zeros are significant.

So, in the number 0.23350 there are five significant figures 2,3,4,5 and 0.

Therefore, there are 5 significant figures in the given number.

3 0
4 years ago
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Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
just olya [345]
1 unit to the left
Check the table I attached

4 0
2 years ago
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Hannah is flying a kite with a trying that is 60 feet long. If Patricia is standing directly below the kite and 16 feet away fro
Nataly_w [17]

Answer:

74.5°

Step-by-step explanation:

Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.

Let the angle between the string and the sand be Ф.

By trigonometric ratios,

cosФ = adjacent/hypotenuse

= d/L

= 16 feet/60 feet

= 0.2667

Ф = cos⁻¹(0.2667)

= 74.53°

≅ 74.5°

So, he angle between the string and the sand is Ф = 74.5°

7 0
3 years ago
ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R
lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

\text {hourly rate }=\frac{28}{8}=3.5

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

\text {hourly rate }=\frac{30}{10}=3

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0
3 years ago
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