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Mkey [24]
4 years ago
12

The width of a rectangle is 6 kilometers less than twice its length. if the area of the rectangle is 176 square kilometers, find

the dimensions of the rectangle
Mathematics
1 answer:
trasher [3.6K]4 years ago
5 0
Let w and 2w-6 be the width and length, respectively. Then:
w(2w-6)=176
2w²-6w-176=0
(2w+16)(w-11 )=0
w=-16/2 or 11
If the width is 11 km, then the length is 16 km
☺☺☺☺
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A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
Vikki [24]

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h.  Here we need to calculate the diameter after having found the radius.  Solving V = πr²h for r², we get:

           V

r² = -----------

         πh

Substituting the given values, we obtain for r² the following:

         145 units³

r² = ------------------------  = 15.6 units²

       3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

3 0
4 years ago
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While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons p
aev [14]

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

<u>Given the following data:</u>

  • Distance from shore = 12 km.
  • In-rate = 3 gallons per minute.
  • Rowing rate = 24 km per hour.

<h3>How to calculate the slowest rate.</h3>

Let's assume the boat would sink if it takes in more than 20 gallons of water.

<u>Conversion:</u>

  • 24 km/h to km/min = \frac{24 }{60} = 0.4 km/min.

Translating the word problem into an algebraic expression, we have;

\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4

Therefore, the slowest rate is equal to 4 gallons per minute.

Read more on distance here: brainly.com/question/10545161

8 0
3 years ago
What is the median number of points scored by the two players. WILL GIVE BRAINLY.
velikii [3]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
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PLEASE HELP ME !!!!!
Ierofanga [76]
X = 112

Sorry I had to smoosh the image so it would fit.

7 0
3 years ago
Will mark brainliest!! :)
Georgia [21]

Answer:

Divide the weight of the bag by 2.

Step-by-step explanation:

Every time we divide the weight of bags by 2 we always get the number of marbles in this situation.

For example, in the first one:

Weight of bag is 20

Number of marbles is 10

20/10 = 2 or 20 / 2 = 10

On bag number 5 the weight is 100 grams (Add 20 every time)

100/2 = 50

The number of marbles in a bag that weighs 100 grams is 50.

50 marbles

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3 years ago
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