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My name is Ann [436]
3 years ago
6

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The di

ameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.

Plzz help me

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

Area of the bookmark = 52.56 cm²

Step-by-step explanation:

The two semicircles attached at both end of the rectangle will give us a full circle.

Therefore,

Area of the bookmark = area of rectangle + Area of a circle

Area of the bookmark = L × W + πr²

Length (L) = 10 cm

Width (W) = 4 cm

radius (r) = ½(4) = 2 cm

π = 3.14

Plug in the values into the equation

Area of bookmark = 10 × 4 + 3.14 × 2²

= 40 + 12.56

= 52.56 cm²

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Answer:

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Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

Std error   for differene = \sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209

p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

        At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

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Step-by-step explanation:

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If<br> DX/DT= 2cm/s <br> x=-1 <br> y=x^2+1<br> DY/DT=??
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Answer:

\frac{dy}{dt} = - 4 cm/s

Step-by-step explanation:

Let us revise the chain rule

If \frac{dy}{dt} = a and \frac{dx}{dt} = b, then

\frac{dy}{dx} = \frac{dy}{dt} ÷  \frac{dx}{dt} = \frac{a}{b}

∵ y = x² + 1

- Use the differentiation to find \frac{dy}{dx}

∴ \frac{dy}{dx} = 2x

∵ x = -1

- Substitute x by -1 in  \frac{dy}{dx}

∴  \frac{dy}{dx} = 2(-1)

∴  \frac{dy}{dx} = -2

∵  \frac{dy}{dt} =  \frac{dy}{dx} ×  \frac{dx}{dt}

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What is nine and four fifths times three
umka21 [38]

Answer:

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In​ 1923, a certain country underwent one of the worst periods in history of​ hyperinflation, which is extraordinarily large inf
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Answer: 3.498 * 10^26 % ; 16.9% per day

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Final price = 111 times the initial price

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The daily inflation rate :

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(1.169 - 1) = 0.169

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