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2 years ago

A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.

Mathematics

1 answer:

Ede4ka [16]2 years ago

3 0

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

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Pls, help me I don't understand! Very urgent!!!! (I have an attachment so you know what the problem looks like)

vredina [299]

1. A pair of supplementary angles: ∠IJH and ∠HJG, ∠IJH and ∠HJG

2. A pair of complementary angles: ∠JGK and ∠KGC, ∠FGE and ∠EGD

3. A pair of vertical angles: ∠AKB and ∠KJG , ∠IJH and ∠KJG

Solution:

Two angles are said to be supplementary when they add up to 180°.

We know that,

Sum of the adjacent angles in a straight line = 180°

∠IJK + ∠KJG = 180°

Therefore ∠IJK and ∠KJG are supplementary angles.

∠IJH + ∠HJG = 180°

Therefore ∠IJH and ∠HJG are supplementary angles.

Two angles are said to be complementary when they add up to 90°.

Given ∠CGD = 90°, ∠CGJ = 90°

∠JGK + ∠KGC = ∠CGJ

∠JGK + ∠KGC = 90°

Therefore ∠JGK and ∠KGC are complementary angles.

∠FGE + ∠EGD = 90°

Therefore ∠FGE and ∠EGD are complementary angles.

If two lines are intersecting, then the angles opposite to vertical point are vertical angles and they are equal.

∠AKB = ∠KJG (vertically opposite)

∠IJH = ∠KJG (vertically opposite)

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3 years ago

A. Mr. Gordon works with Ms. Patel from the Example. Mr. Gordon writes the expression 3x + 4x to represent the cost of ordering

Leviafan [203]

Answer:

$162

Step-by-step explanation:

5r=20 10p=100 14t=42

100+42+20=162

5r+10p+14t=$162

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2 years ago

i will give brainliest A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs______pounds, bu

Vedmedyk [2.9K]

Set up a ratio:

240/180 = X/36

Cross multiply:

240 * 36 = 180x

8640 = 180x

Divide both sides by 180:

X = 8640 / 180 = 48

The person would weigh 48 pounds.

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2 years ago

Read 2 more answers

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Reptile [31]

Answer:

B I'm pretty sure

Step-by-step explanation:

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2 years ago

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is $2^2\times 3\times 5$ .

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

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$1\times 30$ ,

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$2\times 15$ ,

2 beads each into 15 boxes or 15 beads each into 2 boxes

$3\times 10$ ,

3 beads each into 10 boxes or 10 beads each into 3 boxes

$5\times 6$ ,

6 beads each into 5 boxes or 5 beads each into 6 boxes

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2 years ago