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seraphim [82]
3 years ago
12

Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB? a. 1 c. 1.32 b. 1.618 d.

1.543  
Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B

We know AC is 0.618 and AB = 1
CB = x for now

AB = AC+CB
1 = 0.618+x
1-0.618 = 0.618+x-0.618 ... subtract 0.618 from both sides
0.382 = x
x = 0.382

So CB is 0.382 units long

To find the ratio of AC to CB, divide the values
AC/CB = 0.618/0.382 = 1.618 (approximate to 3 decimal places)

Answer: Choice B) 1.618
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3 years ago
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3 years ago
What is the range of the function given in the graph in interval notation.
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Now, the domain and range of a given function is basically the coverage of their x and y values that are part of the solution. If the point is along the solid lines and points, the domain or range is expressed either in [ or ], depending where it starts and ends. If the point is along the hollow lines and points, the domain or range is expressed either in ( or ), depending where it starts and ends. The ∪ symbol is added to connect domains and ranges through discontinuities.

Looking at the leftmost line, it starts from the hollow point (-7,-4) and ends on the solid point (-3,3). The range for this part is expressed as (-4,3]. Looking the rightmost line, it starts from the hollow point (-1,-3) and ends at the solid point (2,-8). The range for this part is expressed as (3,8]. Connecting the two ranges, the answer would be <span>(-4,3)U(3,8].</span>

8 0
3 years ago
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,an
mars1129 [50]

Answer:

Step-by-step explanation:

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b= 30

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7 0
3 years ago
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