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USPshnik [31]
3 years ago
10

a banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diam

eter of the semicircle. What is the total area of the banner? Use 3.14 for n
Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

Okay so all you have to do is find the Area of each shape, then add them together.  Starting with the square.  Your formula is A=s4    All you have to do is plug in your number.  A=26(4) Now solve. A=104.   Now we have to find the area of a semicircle.  Your formula is ((3.14)r squared)(.5) To find the radius (r) you divide the diameter by 2, so 26/2=13     Now all you have to do is plug in your numbers.   (3.14)(13 squared)(.5)    (3.14)(169)(.5)   

(530.66)(.5)   Your final answer is:  265.33 inches squared

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Cerrena [4.2K]
<h3>Answers:</h3>
  • ST = 23
  • RU = 8
  • SV = 5
  • SU = 10

====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

-----------------------

Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

-----------------------

SV = VU = 5 because RT bisects SU.

Bisect means to cut in half. The two smaller pieces are equal.

-----------------------

SU = SV + VU = 5+5 = 10

Refer to the segment addition postulate.

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