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Alenkasestr [34]
2 years ago
12

Three circles are arranged in a row so that each is tangent to the

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0
<span>πd is the circumference of a circle, so with a diameter of 4 a single circle has a circumference of 4π. 1/3 of each circle is in contact with the belt, so that total part is still 4π. Then, the part of the belt connecting from tangent to tangent is 2 radii, so 3 areas is 12. The belt would then be 12+4π cm.</span>
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The sides of a triangle have lengths 3, 25, and 27. What kind of triangle is it ?
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Answer:

Step-by-step explanation:

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Exhibit 15-2A regression model between sales (y in $1000s), unit price (x1 in dollars) and television advertisement (x2 in dolla
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Answer:

Sales are expected to increase positively.

Step-by-step explanation:

The model is y =7-3*X1+5*X2

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SSE=1500

So, TSS = SSR+SSE = (3500+1500) = 5000

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Step-by-step explanation:

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zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

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