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Mice21 [21]
3 years ago
8

What number would complete the pattern below? 66 73 13 21 52 __ 10 20

Mathematics
2 answers:
ipn [44]3 years ago
4 0
D. 61 is the answer thats the number that would complete the pattern
Serhud [2]3 years ago
3 0
The answer is d.61. 66+7=73. 13+8=21. 52+9=61. 10+10=20
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Which of the following is a geometric sequence with a common ratio of 2?
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Find the diameter of the circle with the given circumference. Use 3.14 for pi. C=29 cm The diameter is about ____ cm. ​(Round to
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4 0
3 years ago
Given: PRST is a square
xxTIMURxx [149]

Answer:

(1-\sqrt{2})a^2

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Consider irght triangle PRS. By the Pythagorean theorem,

PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a

Thus,

MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a

Consider isosceles triangle MSC. In this triangle

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The area of this triangle is

A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}

Consider right triangle PTS. The area of this triangle is

A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2

5 0
3 years ago
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