A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the
bookmark? Use 3.14 for it.
The area of the bookmark is
cm?

Answers

Answer 1

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:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

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

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

12.56 + 68 = 80.56

And vuoila! there's your answer.


Related Questions

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]

Step-by-step explanation:

Given,

Gallon of juice drank in 5 weeks = 4

Therefore,

Gallon of juice drank in 1 week

[tex] = \frac{4}{5} (ans)[/tex]

PLEASE TELL ME THE VALUE

Answers

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

At a student art fair, 100 projects were on display. Of all the
3
art projects, were paintings and were photographs.
4.
5
How many of the projects were photographs or paintings?

Answers

Answer: 90 projects in all 1/5 were photographs 1/5 of 90=90/5=18

Step-by-step explanation: done :)

Answer:

i cannot see the numbers, can you type them out??

Step-by-step explanation:

i can add answer once you tell me

In 15–20, write the number positioned at each point.

Answers

Answer:

See below.

Step-by-step explanation:

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5

What is Number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are

15.) -3.25

16.) -4.5

17.) 1.25

18.) -5.75

19.) 0.5

20.) -2.5

Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.

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Round off 54951 to the nearest 10,000.

Answers

Answer 50,000

Step-by-step explanation:


Answer:
50,000

Rounded to the nearest 10,000 or
the Ten Thousands Place.

Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.

Answers

Answer:

Total apples=10

no.of honeycrisp Apple=2

1). Probability-2/10. =1/5

now total apples left=9

tolyal honey crisp apples left=1

2) probability=1/9

The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

What is probability?

Probability is "possibility that deals with occurrence random events".

According to the question,

Total number of apples = 10 apples

Total number of Honeycrisp apples = 2 apples

Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]

Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].

After taking one honey crisp apple remaining one left so subtracting one from total number of apples.

10 - 1 = 9

Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.

Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

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The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches

Answers

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

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Help pls this is 5th grade math

Answers

Answer:

1.35

2.54

3.32

4.64

5.121

6.70

Answer:

1: 35

2: 54

3: 32

5: 64

6: 121

7: 70

Step-by-step explanation:

1: 180-(110+35)

2: 180-(74+52)

3: 180-(58+90)

5: 180-(52+64)

6: 180-(36+23)

7: 180-(56+54)

y’all pls i’m in pain here

Answers

Answer:

it's the first one

Step-by-step explanation:

sorry if im wrong but i think it's right

Answer:

its the first

Step-by-step explanation:

first see how much it increases (1/2x)

and then where on the y line its crossing (+4)

sorry for bad english

ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?

Answers

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

What is the slope of the line that passes through the points (-1, 0) and (3, 8)?

Answers

Slope of line = Y2 - Y1 / X2 - X1
= 0 - 8 / -1 - 3
= -8/-4
= 2

Harry purchased 5 liter of blackberries. His younger brother ate 1/6 liter of the
blackberries on the way home. How many liters does he have left?
liter
Math

Answers

Answer:

f

Step-by-step explanation:

sro;y :-(

Answer:

Since his bro ate 1/6litre...

The remaining is simply

5 - 1/6 = 29/6litres

If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then: A) a series of t-tests may or may not give you the same conclusion. B) the regression is always significant. C) all of the hypotheses are always simultaneously rejected. D) the F-statistic must be negative. Answer: A

Answers

Answer:

A) a series of t-tests may or may not give you the same conclusion

Step-by-step explanation:

F test is a statistical test, used for testing overall significance in a regression model. It denotes, how well - multiple explanatory (or independent) variables in a regression model effect the variation in dependent variable.

Rejecting a f test implies that - the set of multiple explanatory (or independent) variables 'jointly' effect the dependent variable significantly. However the individual independent variables might or might not effect dependent variable (independently) significantly.

So, the individual t tests might or might not give same conclusion.

What’s the answer to this one?

Answers

Sum of the interior angles of any triangle equal 180 degrees , Thus :

A + B + C = 180

48 + B + 67 = 180

B + 115 = 180

B = 180 - 115

B = 65 degrees

Answer:

B = 65°

Step-by-step explanation:

Area of triangle,

→ 180° = A + B + C

→ 180° = 48° + B + 67°

→ 180° = 115° + B

→ B = 180° - 115°

→ B = 65°


Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?

Answers

Answer:

$83.30

Step-by-step explanation:

Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):

98(0.85)

= 83.3

So, he will have to pay $83.30 for the saw

NO LINKS PLS HELP MMEEE

Answers

Answer:

4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8

Step-by-step explanation:

Answer:

4. 254.47ft^3

5. 4247.43yd^3

6. 21714.69 in^3

7. 4712.39 ft^3

hope this helps

have a good day :)

Step-by-step explanation:

1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.​

Answers

Answer:

See below

Step-by-step explanation:

This is how I solved it.

Plotted the given points. See the attached.

Identified two pairs to connect, the two chords.

(5. 5) with (7, 1) and (6,4) with (-2, 4).

Determined the equation of both lines:

y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒  y - 5 = -2(x - 5)y = -2x + 15

and

y = 4 (horizontal line)

Identified perpendicular bisectors of those two chords, they both pass through the center of circle.

Midpoints of the chords:

[(5 + 7)/2, (5 + 1)/2] = (6, 3)

and

(6 - 2)/ 2 = 2

The equations:

y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)

Solving the system found the intersecting of those, the center.

Found the center:

(2, 1)

Found the distance from the center to one of the points (7, 1):

7 - 2 = 5, this is the radius

The equation of circle:

(x - 2)² + (y - 1)² = 25

Verified all the other points are on same circle, confirmed.

The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False​

Answers

Answer:

Yes

Step-by-step explanation:

The base of both the cylinder and Circle are both circles.

Helpp plzz will mark brainleast

Answers

I’m pretty sure the correct answer is 30

PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS

Answers

14. 24
15. 29


sorry if i’m wrong!

can a triangle consists of an acute angle a right angle and a obtuse angle​

Answers

Answer:

No

Step-by-step explanation:

All triangles have to equal 180 degrees. The sum of those angles would be greater than 180

A class of 36 students is going on a field trip. They will take 4 buses. Each bus will have the same number of students. How many students will be on each bus?

Answers

Answer:

144

I hope that helped!

The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to find the annual growth rate. (Round your answer to 2 decimal places.)

Answers

Answer:

the annual growth rate is 15.47 %

Step-by-step explanation:

Given the data in the question;

Internet users grew from 25.8 million to 70.6 million,

from the year 2009 to the year 2016.

Using geometric mean, Annual growth rate = ?

To determine the average growth rate of a time series using geometric mean, we use the following formula;

[tex]r_{geo[/tex] = [ [tex]([/tex] Xₙ / X₀ [tex])^{\frac{1}{n}[/tex] ] - 1

where Xₙ is the data value of the last year { 70.6 million }

X₀ is the data value for the first year { 25.8 million }

n is the sample size or the time difference, ( 2016 - 2009 = 7 )

so we substitute;

[tex]r_{geo[/tex] =  [ [tex]([/tex] 70.6 / 25.8  [tex])^{\frac{1}{7}[/tex] ] - 1

[tex]r_{geo[/tex] = [ [tex]([/tex] 2.736434  [tex])^{\frac{1}{7}[/tex] ] - 1

[tex]r_{geo[/tex] = [ 1.15466 ] - 1

[tex]r_{geo[/tex] = 0.15466

[tex]r_{geo[/tex] = ( 0.15466 × 100 )%

[tex]r_{geo[/tex] = 15.47 %

Therefore, the annual growth rate is 15.47 %

the concavity of a function is described by its

expression
1st derivative
2nd derivative
3rd derivative

Answers

The concavity of a function is described by its second derivative.

-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.

-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.

-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.

-The third derivative, at least in my experience, has only been used to find acceleration of a function.

Hope this helps!! :)

The concavity of a function is described by its 2nd derivative

The concavity of a function is dependent on the rate of change of a function's derivative

Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)

When f"(x) > 0, then the function is concave downward.

However, if f"(x) < 0, then the function is concave upward.

Hence, the concavity of a function is described by its 2nd derivative

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Can somebody tell me the answer for this one

Answers

(D)hope this helps what your doin

An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer:

16 years

Step-by-step explanation:

Given data

Principal= $8500

Rate= 4.5%

Final amount=  $17,323

The expression to find time in compound interest is given as

t= ln(A/P)/r

substitute

t= ln(17323/8500)/0.045

t= ln(2.038)/0.045

t=0.711/0.045

t= 15.8 years

Hence the total time is about 16 years

In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown. Approximately 14252 becqurels (Bas), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bas are considered safe for human habitation. The function f) = 14252(0.5) describes the amount, (), in becqurels, of a radioactive element remaining in the area of years after 1986. Find f(220) to determine the amount of becqurels in 2206. Determine if the area is safe for human habitation in the year 2206.
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
B. No, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
C. Yes, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
D. No, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.

Answers

Answer:

A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.

Step-by-step explanation:

Function for the amount of radioactivity:

The function for the amount of radioactivity, in t years after 1996, is given by:

[tex]f(t) = 14252(0.5)^{\frac{t}{32}}[/tex]

Find f(220) to determine the amount of becqurels in 2206.

[tex]f(220) = 14252(0.5)^{\frac{220}{32}} = 121.42[/tex]

121.42 < 600, so the area will be safe, and the correct answer is given by option A.

Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.

{6, 47, 49, 15, 43, 41, 7, 36}

First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5

Answers

Answer:

Step-by-step explanation:

Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet.

Answers

Answer:

1725.1 feet

Step-by-step explanation:

It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.

Therefore, to find the height, we know :

[tex]$\tan \theta = \frac{\text{height}}{\text{base}}$[/tex]

[tex]$\tan 85.691 = \frac{\text{h}}{\text{130}}$[/tex]

[tex]$13.27 = \frac{\text{h}}{\text{130}}$[/tex]

h = 13.27 x 130

  = 1725.1 feet

Therefore, the height of the Eiffel tower =  1725.1 feet

Can someone please help answer?

Answers

It would be 8x8

Hope this helped :)
Other Questions
PLEASE HURRY AND HELP. ASSIGNMENT DUE TONIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!In 1839, a group of Africans took control of a Spanish ship called La Amistad that was bound for a port in Cuba where the Africans were to be sold as slaves. After seizing the ship, the Africans demanded to be taken back to their homeland, but were tricked by the ship's navigator who set a course that took them along the coast of North America. La Amistad was eventually captured by the United States Navy, and the Africans were held as pirates. Though they were almost taken to be sold in a U.S. slave market, a court case arose regarding whether they could actually be considered slaves. Abolitionists came to the aid of the Africans, and the case eventually reached the Supreme Court in 1841.Which of the following best explains the result of the case above?A.The men were considered slaves because slavery was legal in the U.S. at that time.B.The men were considered free since the Atlantic slave trade had been illegal since 1793.C.The men were considered slaves since they were thought to be the property of Spain.D.The men were considered free because U.S. did not have diplomatic relations with Cuba. The volume of a gas is 22.4 L when the pressure of the atmosphere is 1.00 atm. If the pressure is increased to 1.05 atm, without changing the temperature, what is the new volume?K = C + 273Question 13 options:a) 22.4 Lb) 23.5 Lc) 25.2 Ld) 26.3 L Find the value of x. Round your answer to the nearest tenth. ok this the last question and thanks A ticker timer makes 50 dots per second. When a body is pulled by a tap through the timer, the distance between the third and fourth dot is 3cm and the distance between the fourth and fifth dot is 4cm.what was the acceleration of the body? HELP ME PLEASE . IM BEGGING!! Which avenue may utilize video streaming, audio narration, print designs and animation? The (blank) may utilize video streaming, audio narration, print designs and animation. (20r-8) divided by 4 How does the graph of g(x) = x+ 5 compare with the graph of the parentfunction, f(x) = X?A. The graph of g(x) is compressed vertically by a factor of 5.B. The graph of g(x) is compressed horizontally by a factor of 5.C. The graph of g(x) is shifted 5 units up.D. The graph of g(x) is shifted 5 units to the right. What are experience or issue raised? In literature review. Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt how many moles of Carbon are in 3.06 g of Carbon Vicky is struggling In a specific way, select best advice for Vicky 8. Which response is an example of third-person omniscient point ofview?A.After my father had gone outside, my mother hugged me.B.The lady there was nice, he could see it right off..The next day she heard her sisters calling to her..Neither Wilcox nor Dolores could figure out why. William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.) What is 1519 rounded to the first digit Oscar is afraid that his house will be robbed because he has left something unlocked. He may spend thirty minutes making sure that every door and window in the house is locked before leaving. Oscar's repetitive actions to decrease unwanted thoughts are what psychologists refer to as a __. Harpagon demande La Flche de lui montrer ses mains deux reprises. En quoi cela suscite unComique de geste ? Which is the answer no links please. Deception may be used in a psychology experiment __________. a.) at any time b.) only when supervised by a professional psychologist c.) only when it is necessary for the subject, and does not inflict serious harm on him or her