2 years ago

Please help me with question 12 :(

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

Answer:

Step-by-step explanation:

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* 4. A circle is divided into ten equal sectors.

Fiesta28 [93]

Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

$= {360}^{0} \div 10$

$= {36}^{0}$

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

$= \frac{1}{n} \times 2\pi \times r$

$= \frac{1}{10} \times 2\ \frac{22}{7} \times 50$

$= 31.42 \: in$

7 0

1 year ago

Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find

olga55 [171]

Answer:

$14\text{ and }16$

Step-by-step explanation:

Let the smaller number be $x$ . Since they are consecutive even numbers, the larger number can be represented by $x+2$ .

Therefore, we have the following equation:

$8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}$

Thus, the larger number is $x+2=\boxed{16}$

6 0

2 years ago