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Mrrafil [7]
1 year ago
12

25 points ! Circle B is Internally tangent to circle A at point p. Likewise, circle C is internally tangent to circle D at point

P. If BD=AC , AB=4, and SD=2, find the length of diameters for circles C and D. Be sure to justify your work. The Picture is the diagram

Mathematics
1 answer:
Greeley [361]1 year ago
3 0
All the given points are collinear, so we have ...
  AB +BC = AC
  BC +CS +SD = BD
The problem statement tells us
  BD = AC
  BC +CS +SD = AB +BC . . . . . substituting for BD and AC
  BC +CS +2 = 4 +BC . . . . . . . . substituting given lengths
  CS = 2 . . . . . . . . . . . . . . . . . . . subtract (2+BC)

CS is the radius of Circle C, so its diameter is twice that: 4. The radius of Circle D is the diameter of Circle C plus SD, so is 4 +2 = 6. The diameter of Circle D is twice that: 12.

The diameter of Circle C is 4.
The diameter of Circle D is 12.
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Division of two quantities is expressed as the ____ of those two quantities.
andreev551 [17]


Division of two quantities is expressed as the  quotient of those two quantities.

The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient  is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.

There are two different ways to find the quotient of two numbers.  One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is  by employing the long division method where the quotient  value is positioned above the divisor and dividend.
 


6 0
2 years ago
A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to
Strike441 [17]

Answer:

Step-by-step explanation: Uhh I have no idea how I got this right because I guessed but

small: 3-5 pounds 0.25+1.2+2.7

Medium: 5-8 pounds 0.25+0.25+1.2+1.2+1.2+1.2

Large 8-10 pounds 0.25+1.2+1.2+1.2+2.7+2.7

Hope I helped this is my first time answering a question have a good day everyone

6 0
1 year ago
Wang Hao wants to spend at most $15 on dairy products. Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1
Mashutka [201]

Answer:

2.40g + 1.20c ≤15

Step-by-step explanation:

Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20

Let g = liters of goats milk

c = liters of cows milk

What we are buying is the liters times the cost

2.40g + 1.20c

This must be less than or equal to 15 dollars

2.40g + 1.20c ≤15

8 0
2 years ago
Read 2 more answers
Suppose that the function f(x)=2x+12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $
Dmitriy789 [7]
To rent 7 movies, he needs 2(7) + 12 = $26.
But he has only $10. So he needs more 26 - 10 = $16.
6 0
1 year ago
Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript
defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

log_{c}{a / b} = log_{c}{a} - log_{c}{b}

Plugging in the values we have above gives us the following:

log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}

log_{4}{7} = 2.196 - 0.792

log_{4}{7} = 1.404

6 0
1 year ago
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