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Gnoma [55]
2 years ago
9

Doris uses 8square pieces of fabric to make one scarf. Each side of a square piece of fabric is 1/4 foot in length. Doris can bu

y large pieces of fabric that are 1/4 foot long and 2 feet wide. How many large pieces of fabric should she buy to make 7 scarves?
Mathematics
1 answer:
Semmy [17]2 years ago
4 0
Scarf area is 8 small fabric area
8 x 0.25 x 0.25 =0.5.
7 scarf area would be
7 x 0.5 = 3.5
new fabric (large ) area is
2 x 0.25 = 0.5
7 scarf area divide by new fabric area
3.5 divide by 0.5 = 7 large pieces
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Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)
andrezito [222]

Answer:

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Step-by-step explanation:

a) To simplify the expression \left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right) you must:

Apply Difference of Two Squares Formula: \left(a+b\right)\left(a-b\right)=a^2-b^2

a=18,\:b=\tan \left(x\right)

\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)

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Apply the Pythagorean Identity 1+\tan ^2\left(x\right)=\sec ^2\left(x\right)

From the Pythagorean Identity, we know that 1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)

Therefore,

324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325

b) According with the below graph, the lowest point of y=\cos \left(x\right), 0\leq x\leq 2\pi is when x = \pi

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3 years ago
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Line bc is represented by 3x + 2y =8 line ad is a represented by -3 x -2y =6 what is the relationship of line bc to line ad expl
Vlad1618 [11]

Answer:

Parallel lines

Step-by-step explanation:

Line BC:

3x + 2y =8

Line AD:

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Adding both equations, in this case, gives us the point at which the lines intersect:

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Since zero will never equal fourteen, the equation above means that lines BC and AD will never intersect. When two lines have no point in common, they are said to be parallel lines.

8 0
3 years ago
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