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gladu [14]
3 years ago
15

Please answer these questions

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒     S=rФ -------------where  r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒   When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. sin\frac{17\pi }{6} \\

we know π=180°

hence 17/6 π=?---------------cross multiply

\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

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Adding the fractions<br><br> 3/14+2/21+1/6
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Answer:

\frac{10}{21}

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\frac{3(3)}{14(3)} + \frac{2(2)}{21(2)} + \frac{1(7)}{6(7)}

= \frac{9}{42} + \frac{4}{42} + \frac{7}{42} ← add the numerators, leaving the denominator

= \frac{9+4+7}{42}

= \frac{20}{42} ← divide both values by 2

= \frac{10}{21} ← in simplest form

6 0
3 years ago
Please help me asap i will mark branlist please explain
Ulleksa [173]
It would be b because a^2+b^2=c^2 so in this case 5^2+8^2=c^2
6 0
3 years ago
The Beta Club is sponsoring a lollipop sale. If their goal is to raise at least $228, how many lollipops must they sell at $1.50
allsm [11]

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Step-by-step explanation:

4 0
3 years ago
Find the area of the following
Dmitriy789 [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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