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hjlf
3 years ago
14

Calculate the length of a minor arc OP in terms of π​

Mathematics
2 answers:
Zarrin [17]3 years ago
5 0

Answer:   \bold{\dfrac{16}{3}\pi}

<u>Step-by-step explanation:</u>

arc length (s) = radius (r) × θ (in radians)

                        radius (r) = 6 cm

major arc OP is 200°, so minor arc is 160°.

\text{Convert degrees into radians}:\\\dfrac{\pi}{180}=\dfrac{\theta}{160}\\\\\\\dfrac{160\ \pi}{180}=\theta\\\\\\\dfrac{8\pi}{9}=\theta

s=r\times \theta\\\\.\ =6\times \dfrac{8\pi}{9}\\\\\\.\ =\dfrac{2\times 8\pi}{3}\\\\\\.\ =\dfrac{16}{3}\pi

Tanzania [10]3 years ago
3 0

Answer:

arc length = radius * angle in degrees * (PI / 180)

arc length = 6 * 160 * (PI/180)

arc length = PI * 960 / 180

arc length = PI * 5 + (60/180)

arc length = (16/3) * PI

Step-by-step explanation:

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9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

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3 years ago
What does 17/800 equivalent to?
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Cos (pi/2 -x) = sin x is this true or false?
Ksenya-84 [330]

The above statement is true meaning cos(π/₂-x)=sin(x)

Step-by-step explanation:

We know that sine and cosine function are mutual cofunctions.

Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)

This can be verified mathematically by assuming “x” as 30°

Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)

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Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)

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Hence it is proved that cos(π/₂-x)=sin(x)

 

7 0
3 years ago
Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?
Mandarinka [93]

{\huge{\textsf{\textbf{\color{Purple}{An}{\textsf{\textbf{\color{hotpink}{sw}{\textsf{\textbf{\color{blue}{er}{\textsf{\textbf{\color{green}{࿐}}}}}}}}}}}}}}

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6 0
3 years ago
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