What is The area of the quarter circle with a diameter of 10 in. Use 3.14 and round to the nearest hundredth

Mathematics

2 answers:

Sonbull [250]3 years ago

7 0

Answer:

19.635 Inches Squared

Step-by-step explanation:

A=πr2 so then just plug your radius in which is 5inches, and then divide by 4 to get your answer

Bad White [126]3 years ago

6 0

Step-by-step explanation:

Diameter = 10 in

Radius = 5 in

Area of quarter circle = 1/4πr²

Area = 1/4 × 314/100 × 5 × 5

Area = 157/8 = 19.6 in²

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The average cost when producing x items is found by dividing the cost function, C(x), by the number of items,x. When is the aver

Ivan

9514 1404 393

Answer:

A) (2, ∞) . . . . or C) (-∞, 0) ∪ (2, ∞) if you don't think about it

Step-by-step explanation:

We want ...

C(x)/x < 100

(20x +160)/x < 100

20 +160/x < 100 . . . . . separate the terms on the left

160/x < 80 . . . . . . . subtract 20

160/80 < x . . . . . multiply by x/80 . . . . . assumes x > 0

x > 2 . . . . . . simplify

In interval notation this is (2, ∞). matches choice A

Technically (mathematically), we also have ...

160/80 > x . . . . and x < 0

which simplifies to x < 0, or the interval (-∞, 0).

If we include this solution, then choice C is the correct one.

_____

Comment on the solution

Since we are using x to count physical items, we want to assume that the practical domain of C(x) is whole numbers, where x ≥ 0, so this second interval is not in the domain of C(x). That is, the average cost of a negative number of items is meaningless.

3 0

3 years ago

A cone-shaped coffee filter of radius 6 cm and depth 10 cm contains water, which drips out through a hole at the bottom at a con

Dimas [21]

Answer:

It takes 251.33 seconds to filter out full.

Step-by-step explanation:

We are given the following in the question:

Radius of cone, r = 6 cm

Depth of cone,h = 10 cm

Volume of flow rate =

$\dfrac{dv}{dt} = 1.5~ cm^3/s$