MATHEMATICS MIDDLE SCHOOL

19. Bella is putting down patches of sodto start a new lawn. She has 20 square

yards of sod. Give the dimensions of two

different rectangular regions that she can

cover with the sod. What is the perimeter

of each region?

Answers

Answer 1
Answer:

Answer:

The dimensions of the two different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

The perimeter of the two different rectangular regions are;

1st Arrangement:

P₁ = 18 yards

2nd Arrangement:

P₂ = 24 yards

Step-by-step explanation:

Bella is putting down patches of sod to start a new lawn.

She has 20 square yards of sod.

We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.

Recall that a rectangle has an area given by

Area = W*L

Where W is the width of the rectangle and and L is the length of the rectangle.

Since Bella has 20 square yards of sod,

20 = W*L

There are more than two such possible rectangular arrangements.

Out of them, two different possible arrangements are;

1st Arrangement:

20 = (4)*(5) = (5)*(4)

Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards

2nd Arrangement:

20 = (2)*(10) = (10)*(2)

Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards

Therefore, the dimensions of two  different rectangular regions are;

1st Arrangement:

W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards

2nd Arrangement:

W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards

What is the perimeter of each region?

The perimeter of a rectangular shape is given by

P = 2(W + L)

Where W is the width of the rectangle and and L is the length of the rectangle.

The perimeter of the 1st arrangement is

P₁ = 2(4 + 5)

P₁ = 2(9)

P₁ = 18 yards

The perimeter of the 2nd arrangement is

P₂ = 2(2 + 10)

P₂ = 2(12)

P₂ = 24 yards

So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.

Note:

Another possible arrangement is,

20 = (1)*(20) = (20)*(1)

Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.

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Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 ​​.If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer: Probability that both the pirate and the Captain hit each other's ships is (1)/(9)

Step-by-step explanation:

since we have given that

Probability that the captain hits the pirate ship is given by

(4)/(9)

Probability that the pirate hits the Captains's ship is given by

(1)/(4)

So, we have to find the "Probability that both the pirate and the Captain hit each other's ship"  is given by

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Hence, probability that both the pirate and the Captain hit each other's ships is (1)/(9)

The probability that both the pirate and the Captain hit each other's ships is (1)/(9). This can be calculated by calculating the joint probability of both events.

What is joint probability?

A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:

P(A and B) = P(A) * P(B), where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.

Given:

The probability of Captain hitting the pirate ship is  (4)/(9)

The probability of pirate hitting the Captain's ship is (1)/(4).

Therefore the joint probability will be:

(4)/(9)*(1)/(4) = (1)/(9)

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Hi please could you answer the single question in the attachment.Please show full working out.

Thanks.

Answers

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What fractions are equivalent to 4/7

Answers

Some of the fractions that are equivalent to 4/7 are 8/14, 12/21, 16/28, 20/35 e.t.c

What is equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example , 5 × 4 = 20 and 2 × 10 = 20 , so the two expressions are equivalent and they have thesame value

To find the equivalent of 4/7, we can multiply through by a factor of 2, 3 , 4 ,5 e.t.c

Therefore 4/7 = 8/14 = 12/21 = 16/28 = 20/35

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Answers

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Answers

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Answers

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the tenth in this number is the one after the decimal point. if the number after the number you are rounding(4) is greater than or is 5 the number you are rounding goes up. if its lower than 5 the number you are rounding stays the same.
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