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OLEGan [10]
3 years ago
9

Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le

ngth of the common external tangent
Mathematics
1 answer:
Andrews [41]3 years ago
3 0
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

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Answer:

I Believe that your answer is D. Sorry if i'm wrong.

Step-by-step explanation:

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Do even numbers have more factors in odd numbers or do i numbers have more factors than even numbers
Serggg [28]
<span>It is because even numbers always have a factor of two, and therefore, larger composite even numbers will have factors of two and other even numbers based around two, such as 4, 8, 16, 32, and so on. On the other hand, numbers which are odd can have factors of 3, 5, and 7 for example, and their numbers based around them(3, 9, 27; 5, 10, 15; 7, 49, 343; and so on). If we look into it, notice how for odd numbers the space between the numbers based around 3, 5, and 7 are increasingly further apart. This is the reason why less large odd integers to have numerous factors. It is because odd numbers cannot have the prime factor 2, this will reduce their factor number. And is is also because even numbers are already divided by 2, this will give them more factors over the odd numbers.</span>
4 0
3 years ago
Ellen Newman has an income of $18,150 and claims 5 exemptions. The amount allowed for each exemption is $1,000. Her state tax is
Vanyuwa [196]
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3 0
3 years ago
In how many ways can the letters of the
GarryVolchara [31]

Answer: (b)

Step-by-step explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

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5 0
2 years ago
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height o
Vinil7 [7]

Answer:

G(T(x)) = 27(x + 6.9)

Step-by-step explanation:

Given

T(x) = 9(x + 6.9)

G(x) = 3x

Required [Missing from the question]

G(T(x))

We have:

G(x) = 3x

This implies that:

G(T(x)) = 3(T(x))

Substitute: T(x) = 9(x + 6.9)

G(T(x)) = 3[9(x + 6.9)]

Open bracket

G(T(x)) = 27(x + 6.9)

6 0
2 years ago
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