admin

2 months ago

Guest #8840

2 months ago

The **radius** of the penny is 9.54 millimeters.

The **circumference** means the length of the literal line that surrounds and forms a circle.

The formula for the circumference of the circle is given by

Where,

r is the **radius **

and π = 3.14

A **radius **is a straight line from the center of a circle to the **circumference** of a circle.

According to the given question.

We have a penny whose **circumference **is 59.69 millimeters.

Let r be the **radius** of the penny and 2πr be the** circumference **of the penny.

Since we know that, the shape of the penny is circular.

Therefore,

The** radius, r **of the penny is given by

Hence, the **radius** of the penny is 9.54 millimeters.

Find out more information about **radius and circumference of the circle **here:

#SPJ2

Guest #8841

2 months ago

Circumference = 2 * pi * radius. So we just plug in our given information and solve for the missing variable.

59.69 = 2r

Divide both sides by to isolate the variable r.

r = 59.69 /

Put that into the calculator

**r ≈ 93.7608 mm**

59.69 = 2r

Divide both sides by to isolate the variable r.

r = 59.69 /

Put that into the calculator

Question

You are given the following list of values: 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 Which values are outliers? 0.8
1.1
10.2
10.9

Solution 1

We are finding the mean of the numbers so that we can know what the average number is. Then we can find the outleir.

5.8 + 6.1 + 4.9 + 10.9 + 0.8 + 6.1 + 7.4+10.2,+1.1,+5.2+5.9 = 64

64.4/11 = 5.85

10.2 and 10.9 are not close to 5.85.

Question

lucaz has a stack of sports cards that is composed of 500 baseball, football, and hockey cards. he pulled 50 cards from the stack at random and recorded the results on the table

Solution 1

Okay? What is the question?

Question

3 less than 16 divided by a number s is 5

Solution 1

3-16/a= 5

subtract 3-16

-13/a=5

multiply both sides by a

-13=5a

flip the equation

5a= -13

divide both sides by 5

a= -2.6

check the equation

3-16/-2.6=5

-13/-2.6=5

5=5

subtract 3-16

-13/a=5

multiply both sides by a

-13=5a

flip the equation

5a= -13

divide both sides by 5

a= -2.6

check the equation

3-16/-2.6=5

-13/-2.6=5

5=5

Question

Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?

Solution 1

D= # of dimes

q= # of quarters

QUANTITY EQUATION:

d + q= 64

COST EQUATION:

0.10d + 0.25q= $9.25

STEP 1:

multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)

-0.10d - 0.10q= -6.40

STEP 2:

add equation from step 1 to cost equation to eliminate the d term and solve for q

Add

0.10d + 0.25q= $9.25

-0.10d - 0.10q= -6.40

0.15q= 2.85

divide both sides by 0.15

q= 19 quarters

STEP 3:

substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64

subtract 19 from both sides

d= 45 dimes

CHECK:

0.10d + 0.25q= $9.25

0.10(45) + 0.25(19)= 9.25

4.50 + 4.75= 9.25

9.25= 9.25

ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)

q= # of quarters

QUANTITY EQUATION:

d + q= 64

COST EQUATION:

0.10d + 0.25q= $9.25

STEP 1:

multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)

-0.10d - 0.10q= -6.40

STEP 2:

add equation from step 1 to cost equation to eliminate the d term and solve for q

Add

0.10d + 0.25q= $9.25

-0.10d - 0.10q= -6.40

0.15q= 2.85

divide both sides by 0.15

q= 19 quarters

STEP 3:

substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64

subtract 19 from both sides

d= 45 dimes

CHECK:

0.10d + 0.25q= $9.25

0.10(45) + 0.25(19)= 9.25

4.50 + 4.75= 9.25

9.25= 9.25

ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)

Question

The dimensions of a rectangular playground are 50 times the dimensions of a scale drawing of the playground the area of the scale drawing is 6 feet what is the area of the actual playground

Solution 1

300 or 8,33333333 I hope one answer is correct and sorry if it’s wrong

Question

What does it mean if the quotient times the divisor does not equal the dividend? What should you do?

Solution 1

Say just for a example, that you have 400 divided by 20. The correct answer is 20. But say that you got ten. You would say how many times can 20 go into 40? The answer would be twice. Then, you would say, how many times can 20 go into zero. The correct answer would be 0. you should go back to your work and check and ask yourself those problems and see if they match. Hope this helps!

Question

Lydia brought 4 liters of lemonade to a picnic. She poured 160 millimeters of lemonade for each of her 2 friends and 215 millimeters for another friend. How much lemonade does Lydia have left

Solution 1

1 litre=1000mL so we know that 4x1000= 4000mL

Since she poured 160 mL for TWO friends

160x2=320

She then says that another friend has 215 mL of lemonade.

So that means

4000-320-215= 3465 mL

Therefore Lydia has 3465mL or 3.465L of lemonade left

Since she poured 160 mL for TWO friends

160x2=320

She then says that another friend has 215 mL of lemonade.

So that means

4000-320-215= 3465 mL

Therefore Lydia has 3465mL or 3.465L of lemonade left

Question

The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.

Solution 1

The circumference of the circle is given as 2r where is a constant whose value is equal to 22/7 and r is the radius of the circle

From the given problem, we have the circumference =37.7

2r = 37.7

2*22/7*r = 37.7

r = 37.7*7/(22*2)

r = 263.9/44

r = 5.99

r = 6cm

**Radius = 6 centimeters (Rounded to nearest whole number)**

Solution 2

37.7 = 2 x pi x r

18.85 = pi x r

r = 18.85/pi

or

r = 6

Hope this helps

18.85 = pi x r

r = 18.85/pi

or

r = 6

Hope this helps

Question

The area of a circle is 452.39 ft^2 . Why would the diameter have to be?

Solution 1

I believe it would be 24ft.

Solution 2

STEP 1:

Find the radius.

Area=πr^2

plug in the known numbers

452.39= (3.14)r^2

divide both sides by 3.14

452.39 ÷ 3.14= r^2

144.07= r^2

take the square root of 144.07 and r^2

12 feet= r

STEP 2:

multiply radius by 2 to equal diameter

Diameter= Radius * 2

Diameter= 12 feet * 2

Diameter= 24 feet

ANSWER: The diameter would be 24 feet.

Hope this helps! :)

Find the radius.

Area=πr^2

plug in the known numbers

452.39= (3.14)r^2

divide both sides by 3.14

452.39 ÷ 3.14= r^2

144.07= r^2

take the square root of 144.07 and r^2

12 feet= r

STEP 2:

multiply radius by 2 to equal diameter

Diameter= Radius * 2

Diameter= 12 feet * 2

Diameter= 24 feet

ANSWER: The diameter would be 24 feet.

Hope this helps! :)

Question

Which is a good comparison of the estimated sum and the actual sum of seven nines twelfth plus two and eleven twelfth

Solution 1

That will be 12×11=132. 7×9=63. 63×12=756. 756+2=758. actual sum = 758. estimated sum = 800

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