Answer:
perimeter = 45 in.
area = 123.5 in.^2
Step-by-step explanation:
I assume this is a rectangle.
L = 13 in.
W = 9.5 in.
perimeter = 2(L + W) = 2(13 in. + 9.5 in.) = 2(22.5 in.) = 45 in.
area = LW = 13 in. * 9.5 in. = 123.5 in.^2
Answer:
62/100= 31/50
45/100= 9/20
Step-by-step explanation:
Divide 62 and 100 by two to simplify
Divide 45 and 100 by 5 to simplify
Answer:
3.4594
Step-by-step explanation:
To change the base of a logarithm
• 
x = 
where c represents the new base
Changing the base from 2 to 10
11 = 
≈ 3.4594
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
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angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
The expression which represents the perimeter, in centimeters, of the rectangle is; (18d +10f) centimetres.
<h3>Perimeter of a rectangle</h3>
Since the perimeter of a rectangle is given by the formula;
In essence, Perimeter, P = 2(2d – 3f) + 2(7d + 8f)
Ultimately, the perimeter of the rectangle is; (18d +10f) centimetres.
Read more on perimeter of a rectangle;
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