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Dima020 [189]
3 years ago
15

What are the dimensions of the largest rectangular field that can be enclosed with 64m of wire?​

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Step-by-step explanation:

perimeter = 2*length + 2*width

area = length*width

perimeter = 64

Rectangular means all the corners have to be right angles.

If we say it can be a square, then...

perimeter = 4*side

64 / 4 = side

side = 16 meters

So the dimensions would be 16 m x 16 m

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At carl's combine diner, there are three size of coffee drinks regular (300ml), large (500ml) and extra large (800mL), and they
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Answer:

The number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

Step-by-step explanation:

Given that the cost for regular coffee drinks (300 ml)=$2.25

The cost for large coffee drinks (500 ml)=$3.25

The cost for extra large coffee drinks (800 ml)=$5.75

Let p,q, and r be the number of regular, large, and extra-large coffee sold.

As the diner sold a total of 37 coffees, so

p+q+r=37

r=37-p-q...(i)

The volume of p regular coffee = 300p ml

The volume of q  large coffee = 500q ml

The volume of r extra-large coffee = 800r ml

As the total volume of coffee sold was 19,100mi, so

300p+500q+800r=19100

By using equation (i)

300p+500q+800(37-p-q)=19100

300p+500q+800 x 37 - 800p - 800q=19100

-500p-300q=19100-29600

500p+300q=10500

500p=10500-300q

p=21-0.6q...(ii)

Now, the cost of p regular coffee=$2.25p

The cost of q large coffee=$3.25q

The cost of r extra-large coffee=$5.75r

As the amount of money made in coffee sales was $133.25, so

2.25p+3.25q+5.75r=133.25

By using equations (1)  we have

2.25p+3.25q+5.75(37-p-q)=133.25

2.25p+3.25q+212.75-5.75p-5.75q=133.25

3.50p+2.50q=79.5

From equation (ii)

3.5(21-0.6q)+2.50q=79.5

73.5-2.1q+2.5q=79.5

0.4q=79.5-73.5=6

q=6/0.4

q=15

From equation (ii)

p=21-0.6(15)

p=12

From equation (i)

r= 37-12-15

r=10

Hence, the number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

5 0
3 years ago
Negative six multiplied by negative ten is subtracted from eight multiplied by five. Find the number
My name is Ann [436]

Answer:

The answer is -20.

Step-by-step explanation:

(8 × 5) - (-6 × -10)

= 40 - 60

= -20

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3 years ago
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A point has zero dimension. True or False?
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Answer:

True

Step-by-step explanation:

A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.

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A company that translates books between various languages is currently testing a​ computer-based translation service. The founde
maria [59]

Step-by-step explanation:

this is the answer of this question

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If:<br> AC = 53,<br> BC=2x + 5, and<br> AB = 4x+ 6,<br> Find BC.
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