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Anit [1.1K]
3 years ago
10

Area of a sector of a circle is 1/6 to the area of circle. Find the degree measure of its min

Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:

theta = 60

Step-by-step explanation:

let the radius BE R

and angle be theta

formula

theta/360 x pi r2= 1/6 x pi r2

pi r2 gets canceled on both sides

theta/360 = 1/6

theta = 360/6

         = 60

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3 years ago
A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be
kolezko [41]
No it is not base e.  It is 1.015.

An increase of 1.5 % =  1.015 

Year            1,             2,                       3,.........................., 30.
               30000, 3000(1.015),  30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn =  a(r^n  - 1) / (r - 1);                a = 30000,  r = 1.015,  n = 30

Sn =  30000 ( 1.015^30  -  1) / (1.015 - 1)

      =  30000 (1.56308022 - 1) / (0.015) =  1126160.44

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5 0
3 years ago
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Step-by-step explanation:

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7 0
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Read 2 more answers
An oven heating element turns on when the internal temperature falls to 20 degrees below the set temperature and turns off when
son4ous [18]

Answer:

The range of the oven is 385\leq T\leq 410

Step-by-step explanation:

Consider the provided information.

The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.

You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.

The internal temperature falls to 20 degrees, therefore the lowest set can be:

405-20=385 degree.

The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.

Hence, the temperature will be lying between 385 degree and 410 degree.

This can be written as: 385\leq T\leq 410

Hence, the range of the oven is 385\leq T\leq 410

4 0
3 years ago
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