A nickel has a diameter of 21.21 millimeters. What is the area of the face of a nickel? Use 3.14 for π . Round to the nearest hundredth if necessary.

Answers

Answer 1

The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

What is Area of Circle?

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm

Area of circle= [tex]\pi r^{2}[/tex]

                      = 3.14* 21.21*21.21

                      = 353.143 [tex]mm^{2}[/tex]

                      = 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

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Related Questions

Write .0043 as a percentage

Answers

Answer:

0.43%

Step-by-step explanation:

In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.

Molly gives 3% of her paycheck to a charity. If she makes $350 per week, how much goes to the charity?

Answers

Answer:

$10.50

trust me

answer:

342$

Step-by-step explanation:

Think about it........................ 77 + 33 =100

A 12 _ foot ladder is leaning against a house the ladder reaches 7.7 feet up the wall wha is the angle of elevation of the ladder?

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129, 600 kilograms. The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters. What is the density of aluminum?

Answers

If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.

The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.

Then the density of the aluminum will be

The volume of the aluminum brick will be

V = 6 x 2 x 4

V = 48 cubic m

Then the density will be

D = 129600/48

D = 2700 kg per cubic m

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find the value of x. cos(67°) = 1/x​

Answers

[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]

Can someone help me please!!!

Answers

Answer:

5. is 18 your welcome

Step-by-step explanation:

The question is attached.

Answers

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4


There are 6 blue chips for every 4 green chips. How many green chips will there be with 15 blue chips?

Answers

Answer:

6

Step-by-step explanation:

Its simple,

first you find the multiplier, to do this you do:

6/4 which is 2.5

then we do 15 / 2.5

which is 6

The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.

Answers

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

NEED HELP PLEASE!!!!!!

Answers

Answer:

i wish i knew im in the same situwantion

Step-by-step explanation:

I need to solve for X

Answers

Check the picture below.

Find the missing side lengths and leave the radicals in the simplest form.

Answers

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]

A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
ANSWER ASSAP PLEASE

Answers

Answer:

helloo!!!!

first up first.... i love your profile pic....

oh and the answer is 744..

please read the explanation... it always helps!!

Step-by-step explanation:

alrighty..

so the total budget is 1200, and we want to know how much is 62% of that

so you follow the percent formula as follows:

1200/100= 12 --> 12 x 62= 744 (which is the answer!)

Between which two consecutive numbers does the root of 90 lie

Answers

Answer:

[tex]9 < \sqrt{90} < 10[/tex]

Step-by-step explanation:

Since [tex]9^2=81 < 90[/tex] and [tex]10^2=100 > 90[/tex], then [tex]9 < \sqrt{90} < 10[/tex]

what is the name of the first female mathematician?​

Answers

Answer:

Hypatia was the first female mathmatican

Answer:

Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.

Step-by-step explanation:

If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds

Answers

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

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which of the following would be considered a statistical question

1. who was the highest paid athlete in 2020?
2. how much does a gallon of gasoline cost?
3. how many people voted for president in 2016?
4. what are the different types of maple trees?​

Answers

i think question 3 is the answer!!!

The beginning balance in a person's checking account was -10 dollars. After writing three checks for 8, 10 and 17 dollars and making a deposit of 90 dollars, what was the new balance in the account?

Answers

Answer:

45

Step-by-step explanation:

he have -10$ that means he have loan

he withdraw 8,10and 17 dollars

now his balance is -45$

now he deposited 90 dollars

now

=90-45$

=45$

Find the distance between the points L(-7, -6) and M(-2, 6).

Answers

I think it is 13 to find it you would count the squares on the bottom and side so the bottom is 5 and the side is 12 so you multiply 5x5 and you get 25 and 12x12 is 144 so you add them together and you get 169 and you find the square root of 169 and you get 13

Please help me guys

a) If 2 Tan a = 3 Tan B, then show that Tan (a-B) =5 sin2b/5Cos 2B-1

Answers

Given that :-

2 tan A = 3 tan B

Prove that :-

Tan (a-B) = [ sin 2B/(5 – cos 2B)]

Taking RHS :-

= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]

= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]

= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)

= (2 tan B)/(4 + 6 tan2B)

= (2 tan B)/[2(2 + 3 tan2B)]

= tan B/(2 + 3 tan B tan B)

Dividing the numerator and denominator by 2,

= [(1/2) tan B]/ [1 + (3/2) tan B tan B]

= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}

= (tan A – tan B)/(1 + tan A tan B)

= tan(A – B) = LHS

Using the table below, what is the probability of selecting a girl or someone who likes Michigan?





Ohio State

Michigan

NC State

Total

Boys

56

14

20

90

Girls

50

22

38

110

Total

106

36

58

200

Answers

Using the table of values, the probability of selecting a girl that likes Michigan is 0.11

How to determine the probability?

The table is given as:

           Ohio State   Michigan    NC State   Total

Boys        56                14                20           90

Girls         50               22               38            110

Total       106              36                58          200

In the above table, 22 girls out of the total sample size of 200 like Michigan.

This means that the required probability is:

P = 22/200

Evaluate the quotient

P = 0.11

Hence, the probability of selecting a girl that likes Michigan is 0.11

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Directions: Write your answers on your paper.Show your solutions with checking.

#1. Convert the decimal number 10 to a binary digit.

#2.Give the types of Mult-meter (VOM) and differential each function.

Nonsense = Reported!!​

Answers

Answer:

1010See below ~

Step-by-step explanation:

Q1

Decimal number 10 written in binary terms is 1010

Q2

There are different types of multimeters like Analog, Digital, and Fluke multimetersFunctions :Resistance in OhmsCapacity in FaradsThe temperature in Fahrenheit/ CelsiusAC Voltage & AmperageInductance HenrysDC Voltage & AmperageFrequency in HzConductance in SiemensDecibelsDuty Cycle

hope it helps you

# 1

Conversion of decimal number 10 into binary is:

10 / 2 = 5 with remainder 0

5 / 2 = 2 with remainder 1

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Therefore, the 10 in decimal is equal to 1010 in binary.

# 2

Analog multimeters are multifunction electrical measuring instruments with indicationby means of an arrow (analog) scale.

Modern analog multimeter

Advantages of analog multimeters:

Possibility to carry out measurements at low temperatures down to -30 ° С.Fast operation with a large amount of measurements, when high precision is not required.Do not require power consumption from the built-in power supply in the mode of voltage and current measurement.Instant display of the dynamics of the signal change.

Disadvantages and features:

Non-linear scale and setting zero before starting measurements.Absence of automatic detection of voltage polarity.A small set of functions: most models can measure only DC and AC voltage, DC current and resistance.Low input resistance and, consequently, a high error in low-voltage measurements.Sensitivity to mechanical damage, vibration.

Digital multimeters are modern, reliable measuring devices characterized by high measurement accuracy and various functional capabilities. Digital devices have replaced analogue in connection with the possibility of wide application of semiconductor technologies. Today most of the produced multimeters are digital. Specialists working with electrical equipment, if necessary, can choose among the digital multimeters a model focused on a specific task.

Advantages of digital multimeters:

Maximum possible measurement accuracy.Automatic polarity detection: If the probes are connected incorrectly, the correct values with a minus sign appear on the screen.Possibility of automatic and manual selection of measuring ranges.Multifunctionality.Does not require mandatory zero adjustment.The accuracy of the meter reading does not depend on the battery charge.Resistance to mechanical damage.The ability to record measurement results in memory and synchronize with a PC.

due to inflatation, the cost of harys hot wings grows by 4% every year. this year a dozen hot wings cost 5.99

part a. how much will a dozen hot wings cost next year

part b. how much will a dozen hot wings cost in 2 years

Answers

Answer:

Part A : $6.23

Part B : $6.48

Step-by-step explanation:

Let's apply the Simple Interest Formula, which is :

Simple Interest = Principal Amount x Interest rate x Time Period

In one year :

I = 5.99 x 4% x 1I = $0.24Cost = $5.99 + $0.24Cost = $6.23

In 2 years :

I = $6.23 x 4% x 1I = $0.25Cost = $6.23 + $0.25Cost = $6.48

A borrower has been approved for a loan of $5,000 at 8% interest. The loan will be repaid in nine months. What amount will be repaid at that time?

Answers

Answer:

Just multiply 5000 * 0.08, which equals 400.

400 + 5000 = 5400

The borrower will repay $5400 at the end of nine months.

Step-by-step explanation:

If a bag of marbles contains 10 blue and 30 green, what is the complement for the probability of choosing a green marble.

Answers

Answer:3/4

Step-by-step explanation:there are 30+10=40 marble

you choose 30 green.    30/40=3/4

A student would like to estimate the mean length of words in a book report he just finished writing. He selects a random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a built-in function of his word-processing program that reveals that the mean length of all words in his book report is 4.3 characters. Which of the following describes the number, 4.3?

sample
statistic
population
parameter

Answers

Answer:

Parameter

Step-by-step explanation:

A statistic is a piece of data we derive from analyzing the data from a sample, a subset of a larger population. A parameter is derived from analyzing that population. Here, we would call the mean of the sample - 4 - a statistic, and the mean of the population - 4.3 - a parameter.

Which expression best represents the areas of this square with sides in the photo below?

Answers

Answer: 9x⁴y⁶

Step-by-step explanation:

[tex](3x^{2}y^{3})(3x^{2}y^{3}) = 9x^{4}y^{6}[/tex]

Basically, when multiplied, integers multiply, and exponents add.

What is the equation of the line?

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

I found this out just by looking at the line

Need help thank you

Answers

D. - times the square root of 5 because the negative acts as a negative 1

Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?

Answers

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

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