Find the length of each arc. Round to the nearest tenth.

Mathematics

1 answer:

avanturin [10]2 years ago

7 0

Answer:

arc ≈ 5.5 units

Step-by-step explanation:

The arc of the circle is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{2} }{2\pi }$ ( r is the radius )

= 2π × 3.5 × $\frac{1}{4}$

= $\frac{7\pi }{4}$

≈ 5.5 ( to the nearest tenth )

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Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bak

Rina8888 [55]

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

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Step two:

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2 years ago

What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?

AlladinOne [14]

Answer:

-1

Step-by-step explanation:

See the attachment for the polynomial long division. The constant in the quotient is -1.

_____

Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.

That could be a first guess in a "guess and check" solution approach.

Guess: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).

Check: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2

Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.