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OLEGan [10]
3 years ago
6

Can you solve and explain tangents

Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

External Tangents: Does not intersect the segment joining the centers of the two circles.

Internal Tangents: Intersects the segment joining the centers of the two circles.

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The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s
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Answer:

  • length: 29 ft
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Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

 580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

  the length is 29 feet; the width is 20 feet.

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Step-by-step explanation:

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Sara has $50 in her wallet in $5 and $20 bills. Create a linear equation (with
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Answer:

<em>0 $20 bills and 10 $5 bills</em>

<em>1 $20 bills and 6 $5 bills</em>

<em>2 $20 bills and 2 $5 bills</em>

Step-by-step explanation:

<u>Equations</u>

Let's set:

x=number of $5 bills

y=number of $20 bills

The total amount Sara has is given by

5x+20y

And we know it's equal to $50, thus:

5x+20y=50

Dividing by 5

x+4y=10

We would need another condition to solve for x and y, but we can determine some combinations that solve the problem.

Solving for x:

x=10-4y

Since both x and y are integers and cannot be negative:

10-4y≥0

Swapping sides:

4y≤10

Dividing by 4:

y≤2.5

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For y=0

x=10-4*0=10

x=10

For y=1

x=10-4*1=6

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For y=2

x=10-4*2=2

x=2

Thus, the possible combinations are:

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1 $20 bills and 6 $5 bills

2 $20 bills and 2 $5 bills

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