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2 years ago

yuri has a rope 12 meters long. he cuts it into pieces that are each 2 meters long. what fraction of the rope is one piece

1 answer:

6 0

So the numerator of your fraction (the top number) is the amount that was cut. The denominator (the bottom number) is the total amount of rope. So, your fraction would be 2/12. You can still simplify that by dividing both the numerator and denominator by 2 and end up with 1/6. Does that make sense? If you need any more help, go ahead and message me :)

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the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle

goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0

3 years ago

Solve. x3 ≤ -6 A) x ≤ -2 B) x ≥ -2 C) x ≤ -12 D) x ≤ -18

TiliK225 [7]

Answer:a

Step-by-step explanation:injust took the test on USATESTPREP

6 0

3 years ago

1.How many combinations are possible from the letters HOLIDAY if the letters are taken?

Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Exercise 1, item a:

One letter from a set of 7, hence:

$C_{7,1} = \frac{7!}{1!6!} = 7$

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

$C_{7,2} = \frac{7!}{2!5!} = 21$

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

$C_{7,7} = \frac{7!}{0!7!} = 1$

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

$T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245$

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

6 0

2 years ago

Find x and y Don’t argue in the comments I actually need help

igor_vitrenko [27]

X=132

To find y
180-132= 48
180-68-48=64
y=64

7 0

3 years ago

Read 2 more answers

For parallelogram ABCD, find the value of x. 3x + 20 B С A А D 5x – 12

Arlecino [84]

Answer:

$x = 16$

Step-by-step explanation:

5x-12=3x+20

plus 12 both sides

5x=3x+32

-3x both sides

2x=32

divide by 2 both sides

x=16

4 0

2 years ago