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Stella [2.4K]
3 years ago
13

Find the arc length of the semicircle?

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

The length of the semicircle arc is 6π

Step-by-step explanation:

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 12

π = pi

c = π * d

we replace with the known values

c = π * 12

c = 12π

The length of the circumference is 12π

N ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle

12π / 2 = 6π

The length of the semicircle arc is 6π

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If m∠D + m∠E = 180°, then ∠D and ∠E are classified as what kind of angles?
Archy [21]
The other person is literally wrong. The answer is D. Supplementary because two angles that add up to 180 are supplementary angles.
3 0
2 years ago
In a small town, the stray cat population is rapidly increasing. There are currently 20 stray cats, and it is estimated
BigorU [14]
2 years will be 80 cats (20 x 2 = 40 (year 1) and 40 x 2 = 80 (year 2))

3 years will be 160 (80 x 2 = 160)

5 years will be (160 x 2 = 320 (year 4) and 320 x 2 = 640 (year 5)) So 5 years will be 640
7 0
4 years ago
Bryan cuts a piece of cardboard in the shape of a trapezoid.the area of the cutout is 43.5 square centimeters.if the bases are 6
Nimfa-mama [501]
<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters

Source:
http://www.1728.org/quadtrap.htm


4 0
3 years ago
Polygon R and polygon S are similar. The perimeter of polygon R is 136 cm, and the perimeter of polygon S is 64 cm. If one side
e-lub [12.9K]

<u>Answer </u>

Option A) 17cm

<u>Explanation </u>

Polygon R and polygon S are similar. This means the polygon R and S have equal number of sides.

Step 1 : Find the number of sides of polygon S

The perimeter of polygon S is 64 cm. If one side of polygon S is 8 cm

Therefore, Number of sides of polygon S = 64/8 = 8 sides

and number of sides of polygon R = 8 side

Step 2 : Find the number of sides of polygon R

The perimeter of polygon R is 136 cm,  

Number of sides of polygon R = 136/8 = 17 cm

Therefore side length of  polygon R = 17 cm

6 0
3 years ago
For △RST and △UVW, ∠R≅∠U, ST≅VW, and ∠S≅∠v. Explain how you can prove △RST ≅△UVW by ASA
monitta

Answer:

See explanation below.

Step-by-step explanation:

Note that in △RST and △UVW

  • m∠T=180°-m∠R-m∠S;
  • m∠W=180°-m∠U-m∠V.

Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.

In ΔRST and ΔUVW:

  • ∠S≅∠V (given);
  • ∠T≅∠W (proved);
  • ST≅VW (given).

ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

By ASA theorem ΔRST≅ΔUVW.

6 0
3 years ago
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