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USPshnik [31]
3 years ago
15

The length of a rectangle is 10m greater than the width. The area is 24m^2

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

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Answer:

Option | and Option || is True

Step-by-step explanation:

Given:

If the square root of p^{2} is an integer greater than 1,

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Solution:

Now we check all option for p^{2}

Option |.

p^{2} has an odd number of positive factors.

Let p=2

The positive factor of 2^{2}=4=1,2,4

Number of factor is 3

Let p=3

The positive factor of 3^{2}=9=1,3,9

Number of factor is 3

So, p^{2} has an odd number of positive factors.

Therefore, 1st option is true.

Option ||.

p^{2} can be expressed as the product of an even number of positive prime factors

Let p=2

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4=2\times 2

Let p=3

The positive factor of 3^{2}=9=1,3,9

9=3\times 3

So, it is expressed as the product of an even number of positive prime factors,

Therefore, 2nd option is true.

Option |||.

p has an even number of positive factors

Let p=2

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Number of factor is 2.

Let p=4

Positive factor of 4=1,2,4

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So, p has also odd number of positive factor.

Therefore, it is false.

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Option ||| is false.

4 0
3 years ago
I need a A in math can you help me with this answer
loris [4]

Answer: 13

Step-by-step explanation:

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6 0
2 years ago
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8 0
3 years ago
Read 2 more answers
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100
Andrej [43]

Answer:

Step-by-step explanation:

To evaluate the expression 2% 0f 6700, we can follow the steps;

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2% of 6700 = 2/100 * 67(100)

The 10 at the numerator will cancel out that at the denominator

2/100 * 67(100) = 2(67)

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5 0
2 years ago
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