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mixas84 [53]
3 years ago
14

Fiona solved the equation shown. – StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction

v.(6x – 3) = –
Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

Simplifying by collecting like terms

Step-by-step explanation:

Given

See attachment for complete question

Required

The missing step

The missing step is at step 2.

At step 1, we have:

\frac{1}{2} - 2x +1 = -\frac{13}{2}

At step 2, we have:

\frac{3}{2} - 2x= -\frac{13}{2}

What she did at step 2, is that:

She collected like terms; 1 and \frac{1}{2}

Then she simplified the like terms: 1 + \frac{1}{2} =\frac{3}{2}

<em>Hence (a) is correct</em>

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Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the larges
LuckyWell [14K]
First, find the area of the rectangular paper: 104 × 88 = 9152 cm²

Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152

We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below

9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13

after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64

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Step-by-step explanation:

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What is the perimeter of triangle ABC?
kkurt [141]

Option B:

The perimeter of ΔABC is 28 units.

Solution:

AD = 5, DC = 6 and AB = 8

AD and AE are tangents to a circle from an external point A.

BE and BF are tangents to a circle from an external point B.

CD and CF are tangents to a circle from an external point C.

<em>Tangents drawn from an external point to a circle are equal in length.</em>

⇒ AD = AE, BE = BF and CD = CF

AE = 5

AE + BE = AB

5 + BE = 8

Subtract 5 from both sides.

BE = 3

BE = BF

⇒ BF = 3

CD = CF

⇒ CF = 6

Perimeter of the polygon = AE + BE + BF + CF + CD + AD

                                         = 5 + 3 + 3 + 6 + 6 + 5

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The perimeter of ΔABC is 28 units.

Option B is the correct answer.

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<h2><u>Answer</u><u> </u><u>:</u></h2>

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

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H denotes hypotenuse

B denotes base

P denotes perpendicular

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→ x = √(1369 cm²)

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One of the factors of one hundred is 20
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