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miss Akunina [59]
3 years ago
7

Libby needs to cut pieces of oak molding that are 3/4 yard long. She has 2 yards of oak molding. How many pieces can she cut? Ho

w much molding will be left over?
Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0

Answer: She can make two 3/4 yards long of oak molding. She will have half of the second one left over.

Step-by-step explanation:

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Answer:

The general equation following the pattern becomes is 7 + (n - 1)×2

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Step-by-step explanation:

The pattern in the question can be described as follows;

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Figure 3 = (5 + 2 + 2) squares boxes

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Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;

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4 years ago
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nirvana33 [79]

Answer:

a) x = 128 degrees

b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc.  Therefore angle APD = 128 degrees (and not 116 degrees)

Step-by-step explanation:

Given:

attached diagram

ABC is a straight line

Solution:

a) Find x

ABC is a straight line

angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.

x is the central angle of the arc APD

so angle ABD is the inscribed angle which equals half of the arc angle =>

angle ABD = x/2 = 64 degrees

Solve for x

x/2 = 64

x = 2*64

x = 128 degrees

b.

Angle APD is the arc angle, which is equal to the central angle x subtended by the arc.  Therefore angle APD = 128 degrees (and not 116 degrees)

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