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Alex73 [517]
3 years ago
9

How long is the arc intersected by a central angle of StartFraction pi Over 3 EndFraction radians in a circle with a radius of 6

ft? Round your answer to the nearest tenth. Use 3. 14 for Pi. 1. 0 ft 5. 7 ft 6. 3 ft 7. 0 ft.
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{\pi }{3} \end{cases}\implies s=6\cdot \cfrac{\pi }{3}\implies s=2\pi \implies s\approx 6.3

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Please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work
galina1969 [7]

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

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x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

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x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

7 0
3 years ago
What is the sum of 6/12 and 1/2
Degger [83]

Answer:

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Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.

4 0
3 years ago
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Answer:

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yes

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The answer is $31.25
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