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Mekhanik [1.2K]
3 years ago
12

Marcie wants to enclose her yard with a fence. your yard is in the shape of a rectangle attached to a triangle. the formula for

the area of the enclosed space is a = lw + 0.5bh. solve for
b.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Area = LW + 1/2 b * h          Subtract L*W from both sides.

Area - LW = 1/2*b*h             Multiply both sides by 2

2*Area - 2*LW = b*h            Divide by h

\text{b} = \dfrac{2*A - 2LW}{h} =\dfrac{2A }{h} -\dfrac{2LW}{h}

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Answer:

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Step-by-step explanation:

We can divide the speed by the wavelength to find the number of waves propagated in one second:

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The SI unit of frequency is the Hertz, equal to one cycle per second.

The frequency of this wave is 52 Hz.

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<em>Additional comment</em>

The use of the unit Hz to signify frequency was adopted in 1933, but did not replace the unit "cycles per second" (CPS) until a number of years later.

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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Debora [2.8K]

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

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The perimeter is 96 feet:

p = 96

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

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8 0
2 years ago
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sweet [91]

Answer:

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3 years ago
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