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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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snow_lady [41]

7 3/10 + 6 1/3 + 2 7/10

First change them to improper fractions

73/10 + 19/3 + 27/10

now find the common denominator which would be 30

73/10 = 219 /30

19/3 =   190/30

27/10 =  81 /30

now add (219 + 190 + 81) = 490/30

now divide 490 ÷ 30 = 16 1/3

Your answer is 16 1/3

Hope this helps. :)

6 0
3 years ago
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Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation
Zigmanuir [339]
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)

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3 years ago
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If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

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a = -1

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6 0
3 years ago
Explain (in words) what you would do to find the missing value in the equation. You do not find the missing number! Equation: ?
maks197457 [2]

Answer:

The missing value = 23\frac{1}{24}

Step-by-step explanation:

Given - Equation: ? + 59 5/8= 82 2/3

To find - Explain (in words) what you would do to find the missing value in

              the equation. You do not find the missing number.

Proof -

Let the missing number = x

So, the equation becomes x + 59\frac{5}{8} = 82\frac{2}{3}

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⇒x = 23\frac{1}{24}

∴ we get

The missing value = 23\frac{1}{24}

Explanation -

Here we have given the ? with addition of number that is equation to some number.

We just have to subtract the two numbers to find the missing value , as we do above.

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Answer:

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Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

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3 years ago
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