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3 years ago

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula: $\pi*r^2$

Since the radius (r) is 2 and $\pi$ is 3.14, you have the following equation:

A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 <em>(A is Area)</em>

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

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3 years ago

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Elden [556K]

In order from least to greatest:
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3 years ago

Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an obj

elixir [45]

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2 years ago

Read 2 more answers

Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other

sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

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4 0

1 year ago

Which equation represents the line that passes through (0, 2) and (3, 1)?

Anna11 [10]

<h3>Answer:</h3>

A. y = -1/3x + 2 . . . . . . . . assuming a typo in your problem statement

<h3>Explanation:</h3>

The point (0, 2) is the y-intercept. This tells you the equation will be something of the form ...

... y = mx + 2 . . . . . . matching only answer choices A and C

_____

Knowing this, you can either substitute the values x=3, y=1 into these two equations to see which one works (it is not C), or you can look at the two points and determine the value of the slope.

The slope is ...

... (difference in y)/(difference in x) = (1-2)/(3-0) = -1/3 . . . . . matches choice A

The equation of the line is ...

... y = -1/3x + 2 . . . . . matches answer choice A

6 0

3 years ago