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nlexa [21]
3 years ago
12

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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kotykmax [81]

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

x^2+(\sqrt{26})^2=13^2

when squaring a square root, just take the number in the radical and get rid of the radical

x^2+26=169

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find the square root of 143

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x=\sqrt{143}

6 0
3 years ago
Keiko uses 6.9 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest is
lianna [129]

Answer: 4.14\ \text{pints}

Step-by-step explanation:

Given

Keiko uses 6.9 Pints of blue and white paint

If the fraction of blue paint is \frac{2}{5}, then thr fraction of white paint is

1-\dfrac{2}{5}=\dfrac{3}{5}

Amount of white paint is

\Rightarrow \dfrac{3}{5}\times 6.9=4.14\ \text{pints}

5 0
3 years ago
Let S denote the plane region bounded by the following curves:
oee [108]

The volume of the solid of revolution is approximately 37439.394 cubic units.

<h3>How to find the solid of revolution enclosed by two functions</h3>

Let be f(x) = e^{\frac{x}{6} } and g(x) = e^{\frac{35}{6} }, whose points of intersection are (x_{1},y_{1}) =(0,1), (x_{2}, y_{2}) = (35, e^{35/6}), respectively. The formula for the solid of revolution generated about the y-axis is:

V = \pi \int\limits^{e^{35/6}}_{1} {f(y)} \, dy (1)

Now we proceed to solve the integral: f(y) = 6\cdot \ln y

V = \pi \int\limits^{e^{35/6}}_{1} {6\cdot \ln y} \, dy (2)

V = 6\pi \int\limits^{e^{35/6}}_{1} {\ln y} \, dy

V = 6\pi \left[(y-1)\cdot \ln y\right]\right|_{1}^{e^{35/6}}

V = 6\pi \cdot \left[(e^{35/6}-1)\cdot \left(\frac{35}{6} \right)-(1-1)\cdot 0\right]

V = 35\pi\cdot (e^{35/6}-1)

V \approx 37439.392

The volume of the solid of revolution is approximately 37439.394 cubic units. \blacksquare

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

8 0
2 years ago
Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exac
ivolga24 [154]

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

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0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If the bases of an isosceles trapezoid have lengths of 13 and 26 what is the length of the median
alukav5142 [94]

Answer: the answer is C . 19.5 units - APEX :D

6 0
3 years ago
Read 2 more answers
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