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romanna [79]
3 years ago
14

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

s 5 cm. Find the area of the quadrilateral
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

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Marian borrowed money to buy a sound system that costs $450. She is charged 5% simple interest for one year what is the total am
yarga [219]

Marian will pay $472.50 for the sound system if she pays the full amount in one year.

Step-by-step explanation:

Given,

Money borrowed for sound system = $450

Interest rate = 5%

Amount of interest = 5% of money borrowed

Amount of interest = \frac{5}{100}*450

Amount\ of\ interest=\frac{2250}{100}\\\\Amount\ of\ interest=\$22.50

If she pays the amount in one year;

Total amount to be paid = Money borrowed + Amount of interest

Total amount to be paid = $450 + $22.50 = $472.50

Marian will pay $472.50 for the sound system if she pays the full amount in one year.

Keywords: interest, addition

Learn more about addition at:

  • brainly.com/question/10708697
  • brainly.com/question/10710410

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
Best explained and correct answer gets brainliest :)
svp [43]
If you look at the question closely its just asking for the sides added the answer is B  30 + 15 =45    30+18=48
6 0
3 years ago
A b and c or centers of three circles. select all the segments that are congruent to ab.
Brut [27]

Answer:

HA,BD,BF

Step-by-step explanation:

3 0
2 years ago
Simplify the following expression. 4 (x-2) - 3 (x-2)​
Alex17521 [72]

Answer: x-2

Step-by-step explanation:

Given

4(x-2)-3(x-2)

Distributive property

=4x-8-3x+6

Move the like terms together

=4x-3x-8+6

combine like terms. REMEMBER you need to change signs if it is negative signs outside

=x-(8-6)

Simplify

=x-2

Hope this helps!! :)

Please let me know if you have any question.

3 0
3 years ago
F (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Ilia_Sergeevich [38]
H(f(x))=3(x^2+2)

h(f(x))=3x^2+6

g(h(f(x)))=(3x^2+6)^3+2

g(h(f(-1)))=(3(-1)^2+6)^2+2

g(h(f(-1)))=(3+6)^2+2

g(h(f(-1)))=81+2

g(h(f(-1)))=83
5 0
3 years ago
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