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2 years ago

A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?

Mathematics

1 answer:

Nikitich [7]2 years ago

6 0

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

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Find the shaded region of the figure below

lilavasa [31]

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)

=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)

=2x³ + 6x² - 8x - 3x² - 9x + 12

= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}

= 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

= x² *3x - 1*3x

= 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

= 2x³ + 3x² - 17x + 12 -3x³ + 3x

= 2x³ - 3x³ + 3x² - 17x + 3x + 12

= -x³ + 3x² - 14x + 12

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2 years ago

Is pi+4 greater than 7?

Eva8 [605]

Answer:

Step-by-step explanation:

actually, it IS 7

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Alborosie

Answer:

Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.

Step-by-step explanation:

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is it Possibly 3 yards?

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MatroZZZ [7]

Hi there!

The correct answer is Rational Number.

$\bf{EXPLANATION}$ :-

Rational Number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator " p " and a non-zero denominator " q ".

~ Hope it helps!

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2 years ago