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Musya8 [376]
3 years ago
5

The length of a rectangle is 7mm longer than its width. It’s perimeter is more than 62mm. Let W equal the width of the rectangle

, write an inequality and solve it

Mathematics
2 answers:
olasank [31]3 years ago
6 0
First of all, what is the equation for the perimeter of a rectangle? 
2(l + w) = p
Since we know the perimeter (p) is greater than 62 we can say:
2(l + w) > 62
It is also given that the length is 7 mm longer than the width, so we know the value of the length in terms of w (the width).
w = w
l = w + 7
Substitute l with (w + 7) into the equation:
2[(w + 7) + w] > 62
Now combine like terms in the parentheses
2(2w + 7) >62
Distribute the 2 into the terms in the parentheses
4w + 14 > 62
Subtract both sides by 14
4w > 62 - 14
Combine like terms
4w > 48
Divide both sides by 4
w > 48

Final answer: w > 48
Hope this helps!
lutik1710 [3]3 years ago
4 0
This is the answer to the question.

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Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

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subtract 64 from both sides

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take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is <u>√161 yd</u>

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3 years ago
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Answer:

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The image is showing how the atoms change depending on which state of matter it is, so if it is a soild the atoms would be really compacted as it moves slower, if it's a liquid then it's more looser than a soild, but more compacted than a gas, and a gas is just moving a lot and has a lot more space.

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A patio 44, feet wide is being constructed next to a house. To drain water off the patio and away from the house, a slope of 1/2
navik [9.2K]

Answer:

the total difference in height will be 22 inches

Step-by-step explanation:

since the slope is 0.5 inch per foot, and the patio is 44 feet wide, the end of the patio will be 0.5 x 44 = 22 inches lower

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