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maksim [4K]
3 years ago
5

two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of

the two circles is 85 yards. What is the diameter of the other crop circle

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

  • Externally tangent circles are circles which touch each other and share a common external tangent.
  • Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
  • The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
  • 85 - 31= 54 yards which is the radius of circle B
  • To get the diameter: 54 x 2 = 108 yards

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9. The sum of two numbers is 25 and whose product is 156. find the two numbers.​
lord [1]

Answer:

x = 12

y = 13

Step-by-step explanation:

Let's assume the two numbers as x and y.

The sum of the two numbers is 25

So,

  • x+y = 25
  • y = 25 - x

The product of the two numbers is 156

  • xy = 156
  • x(25 - x) = 156
  • 25x - x² = 156
  • x² - 25x + 156 = 0
  • x² - 13x - 12x - 156 = 0
  • (x - 12) • (x - 13) = 0
  • x - 13 = 0
  • x = 13
  • x - 12 = 0
  • x = 12

Hence, the two numbers are 13 and 12.

4 0
3 years ago
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If a recipe calls for 3/4 cups of sugar to make 3 batches of cookies, how much sugar will you need to make 5 batches? Find your
statuscvo [17]

Answer:

1 and 1/4 cups of sugar for 5 batches

Step-by-step explanation:

3/4 cups for 3 batches

1/4 cup for 1 batch

multiply by five

5/4 or 1 and 1/4 cups for 5 batches

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3 years ago
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Zinaida [17]

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2 divided by 41.000 show all work
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2 in 41.000
So ... 2 into 4 go's twice so put down 2
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8 0
3 years ago
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which
anzhelika [568]
First recognize that the unit rate we're finding is gallons per hour, or \frac{g}{h}.

rate for Tank 1 = x gallons per hour = <em>a</em> gallons / <em>b</em> hours

T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}


rate for Tank 2 = y gallons per hour = <em>c</em> gallons / <em>d</em> hours

T_{2}=\frac{\frac{5}{9}}{\frac{2}{3}}\\\\T_{2}=\frac{5}{9}*\frac{3}{2}\\\\T_{2}=\frac{15}{18}\\\\T_{2}=\frac{15}{18}\\\\\\Fill\ rate\ of\ Tank\ 2=\frac{5}{6}
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