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ladessa [460]
3 years ago
6

a piece of fabric for a quilt design is in the shape of a parallelogram. the bas is 5 inches and the height is 3.5 inches. what

is the total area of the 25 parallelogram pieces needed for the quilt
Mathematics
2 answers:
Kobotan [32]3 years ago
7 0
Area per parallelogram = 5 x 3.5
Area per parallelogram = 17.5

You have 25 of those parallelograms, so
17.5 x 25 = 437.5 in^2
lisabon 2012 [21]3 years ago
4 0
Let's find the area of one parallelogram piece.

Formula:

\sf~A=bh

Plug in what we know:

\sf~A=(5)(3.5)

Multiply:

\sf~A=17.5

This is the area of one parallelogram piece, so multiply by 25 to find out the area of the entire quilt.

\sf~A=17.5\times25\rightarrow\boxed{\sf437.5}
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Using the given information, give the vertex form equation of each parabola.
Amanda [17]

Answer:

The equation of parabola is given by : (x-4) = \frac{-1}{3}(y+3)^{2}

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:(\frac{47}{12},-3)

The general equation of parabola is given by.

(x-h)^{2} = 4p(y-k), When x-componet of focus and Vertex is same  

(x-h) = 4p(y-k)^{2}, When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

For value of p:

p=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

p=\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}

p=\sqrt{(\frac{1}{12})^{2}}

p=\frac{1}{12} and p=\frac{-1}{12}

Since, Focus is left side of the vertex,

p=\frac{-1}{12} is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p=\frac{-1}{12}

(x-h) = 4p(y-k)^{2}

(x-4) = 4(\frac{-1}{12})(y+3)^{2}

(x-4) = \frac{-1}{3}(y+3)^{2}

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3 years ago
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