The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.

2.17 inches
10.68 inches
21.35 inches
36.29 inches

Answers

Answer 1
If I’m not wrong, I believe “distance around the hat” refers to the circumference of the hat.

d = 6.8 in
π (in this problem) = 3.14

Keep the formula in mind: C = 2πr

We have d, but no r. However, we know that r = 1/2d, or the radius is half the diameter.

Then again, it’s 2πr, or 2rπ, ORRRRR dπ.

So 6.8(3.14) = 21.352.

The choices only go in 2 decimal places so round.

Your answer is the 3rd choice: 21.35 in.
Answer 2

The required distance around the hat is approximately 21.35 inches.  Option C is correct.

What is the circumference of the circle?

To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.

Here,
The distance around a circle is given by the formula circumference = π × diameter.

Substituting the given values, we get:

circumference = 3.14 × 6.8

circumference = 21.352

Rounding to the nearest hundredth, we get:

circumference ≈ 21.35 inches

Therefore, the distance around the hat is approximately 21.35 inches.

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Related Questions

Help me!!

What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

Answers

Heroine. Explanation: The first two letter i.e. 'he' refers to male person, the first 3 letters i.e. 'her' denotes female, the first 4 letter i.e. 'hero' means a great personality while the whole world i.e. heroine is the great woman.

The graphs of six linear equations are shown below. Which of these graphs have a greater rate of change than the equation y=1/2 x+3?

Answers

there is not graph shown but to find rate of change from a graph of a simple line or line segment, you find two points you can identify. Look for points with integer coordinates. Find the slope between those points by (y₂ - y₁)/(x₂ - x₁).

If the Percent of Discount is 15% and the Sale Price is $146.54 what the Original Price? PLS Y'ALL GET 100 POINTS FOR DIS! PLS HELP ME!!??

Answers

Answer: the original price of the item was $172.40.

Step-by-step explanation: If the percent of discount is 15% and the sale price is $146.54, we can use the following formula to find the original price:

Original price = Sale price / (1 - Percent discount as a decimal)

First, we need to convert the percent discount to a decimal by dividing it by 100:

15% = 0.15

Substituting the given values into the formula, we get:

Original price = 146.54 / (1 - 0.15)

Original price = 146.54 / 0.85

Original price = $172.40

Therefore, the original price of the item was $172.40.

Answer:

172.40

Step-by-step explanation:

w-[0.15]=146.54

so w-85p=146.54

146.54 divided by 80=1.724 so when you make it a percent it turns it into 172.40 which is the final answer for the money.

What is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.

The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.

Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.

We need to find its volume.

The volume of the triangular prism = base area × height

Here,

Base area = area of the triangle

= 1/2 × base × height

= 1/2 × 3.2 × 2.5

= 4 cm²

And,

Height of the prism = 8 cm

Substituting the values,

V = 4 × 8

V = 32 cm³

Hence the volume of the prims is 32 cm³.

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At Pruitt’s farm, the ratio of oranges to apples is 4 to 8. A total of 96 apples and oranges are grown on his farm. Find the number of oranges grown.
A. 64
B. 32
C.12
D. 16

Answers

Answer:

32 (B)

Step-by-step explanation:

Because there is a total of 96 apples and oranges, you would divide 96 by 12 because 4 + 8 = 12. 96/12 is 8, so we know that each part (1 part of the ratio) would be 8. Since we are finding the number of oranges, you would multiply 4 x 8 which is 32. (B)

HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4

Answers

Answer:

0232

Step-by-step explanation:

0232/4 = 58

help me pls i dont get this

Answers

Answer: 0.12, 1/8, 14%, 0.2

Step-by-step explanation:

We can try and convert everything to a decimal in order to make things easier. 0.12 and 0.2 are already given to us. Now we convert 1/8 to a decimal by dividing 1 by 8 and you should get 0.125. Next convert 14% to a decimal by moving the decimal place 2 places foward, which gives you 0.14. Your numbers are 0.12, 0.2, 0.125, and 0.14 now you place them into order from least to greatest. Since one of them is three digits you can make the rest three digits to make it easier. 0.120, 0.200, 0.125, 0.140.

Your final answer would be 0.12, 0.125, 0.14, 0.2

Please help ASAP 20 points

Answers

for 7 minutes the calories would be 28 and for 10 minutes the calories would be 40. for the constant of proportionality i’m not sure, maybe just 12/1 = 12, 20/1 = 20, 28/1 = 28, and 40/1 = 40.
12/1 = 12, 20/1 = 20, 28/1
= 28, and 40/1 = 40 would be the answer

m-18.22=37.8 HELPPPP

Answers

Answer:
2801/50
OR
56.02

Step-by-step:
We need to isolate the dependent variable m, we can do that by subtracting -911/50 form both sides of the equation.

HOPE HELPS!!

help me pls, i need correct answers

Answers

Answer:2.16

Step-by-step explanation:

i need help pls mathematics :)

Answers

Answer:

The solution is B. 2 2/10

Step-by-step explanation:

[tex]6 \frac{8}{10} - 4 \frac{6}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (6 - 4) + ( \frac{8}{10} - \frac{6}{10} ) \\ = 2 + ( \frac{2}{10} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \frac{2}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

A set of eight cards were labeled with D, I, V, I, S, I, O, N. What is the sample space for choosing one card?
S = {V, S, I, D, I, I, N, O}
S = {D, I, S, O, N}
S = {V, I, O}
S = {D, I}

Answers

Answer:S = {V, S, I, D, I, I, N, O}

Step-by-step explanation: Im not sure but im pretty sure that this is the answer

Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle s.
How can you find the measure of angle t ?

Answers

Answer: 135 degrees

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.

Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.

Therefore, we can create this equation.

3s + s = 180

4s= 180

s = 45

Angle s is 45 degrees.

180 - 45 = 135

Angle t is 135 degrees.

50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!

Answer the following linear equations: x3+y3+z3=k

2x – y = 6, x – y = 2

and ax + by = a-b, bx – ay = a+b

TYVM!! :)

Answers

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

Answer:

The equation  represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.

Question is in picture down below
PLEASE include explaination

Answers

Answer: 3 units (look at the image for the solution)

Step-by-step explanation:

Answer:

109-5h

Step-by-step explanation:

Idek

Candy has some money
She bought a drink for £ 1.45 and a piece of cake for £ 1.20
She now has two thirds of her money left.

How much money did Candy have to start with

Answers

Answer:

7.95

Explanation:

1.45+1.20= 2.65

2.65x3=7.95

You flip a coin 8 times and get heads 6 times. so the probability is 6/8

Answers

Answer:

yes

Step-by-step explanation:

yes

Yes if you flip a coin eight times and get heads six times your probability is 6/8

please help if you know how to do this, show an explanation please

Answers

Answer:

a. 8, 3, 6, 10

b: 220

Step-by-step explanation:

surface area = bh + (b1 + b2 + b3) L

6(8) + (6+8+3) x 10

48 + (17)(10)

48 + 170 = 220

Answer:

96 ft²

Step-by-step explanation:

Surface area of triangular prism:

       A = 8 ft

        B = 2 ft

        C = 6 ft

         D = 10 ft

[tex]\boxed{\bf Surface \ area \ of \ right \ triangular \ prism = (perimeter \ of \ triangle)*B + C*A }[/tex]

                                                                = (A + C + D)* B + C*A

                                                                = (8 + 6 + 10)*2 + 6*8

                                                                = 24*2 + 48

                                                                 = 48 + 48

                                                                 = 96 ft²

50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)

Answers

Answer:

Linear Equation 1 — 3xyz

Linear Equation 2 — x = 4 and y = 2

Linear Equation 3 — x = 1 and y = (-1)

Step-by-step explanation:

(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

The required result must be 3xyz.
(Linear Equation 2)

2x − y = 6   ....(1)

x − y = 2  ....(2)

Equation(2)−Equation(1) we get

x − y − 2x + by = 2 − 6

(−x) = (−4)

x = 4

Substitute x = 4 in (1) we get

2x − y = 6

2*4 − y = 6

8 − y = 6

(−y) = 6 − 8

y=2

(Linear Equation 3)

ax + by = a − b .......... (1)

bx − ay = a + b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a²x + aby = a² − ab ..........(3)

b²x − aby = ab + b² ......... (4)

Adding (3) and (4), we get,

(a² + b²)x = a² + b²

x = 1

Now, from (1),

ax + by = a − b

a + by = a − b

by = (−b)

y = (−1)


Hope my answer helps you ✌️

Mark BRAINLIEST

Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. Which probabilities correctly complete the probability distribution for the 50 pieces of fruit, in the order listed?

Answers

Answer:

B

Step-by-step explanation:

Probability of apple :

No. of apple / No. of fruits

• 10/50

• 0.2

Probability of banana :

No. of banana / No. of fruits

• 15/50

• 0.3

Probability of lemon :

No. of lemon / No. of fruits

• 6/50

• 0.12

Probability of orange :

No. of orange / No. of fruits

• 14/50

• 0.28

Probability of pear :

No. of pear / No. of fruits

• 5/50

• 0.1

Lupita rides a taxi that charges a flat rate of $6. 75 plus $3. 20 per mile. If the taxi charges Lupita $40. 03 in total for her trip, how many miles is her ride?


Enter your answer in the box as a decimal to the nearest tenth of a mile.

_____ miles

Answers

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

 =  10.4 miles

Lupita rode 10.4 miles in the taxi.

10.4
Because you do 40.03- 6.7 then divide the answer by 3.2

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.

S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}

Answers

Shaun v 174738272 she’s

mathematics 20 points

Answers

112 I think …… do you agree ?

Help meeeeeeeeeeeeeee

Answers

Answer:

              The error made in simplifying the expression is that 54 · 1 is supposed to be equivalent to 54, not 1.

Step-by-step explanation:

               The Multiplication Property of One states that any number that is multiplied by one will stay the same, keeping its exact numerical value as before. However, in the expression shown, 54 multiplied 1 ended up equaling 1, which does not fit the Multiplication Property of One. Therefore, the error made in simplifying the expression is that 54 · 1 is supposed to equal 54, and not 1, based on the rule of multiplying any number by 1.

Have a great day! Feel free to let me know if you have any more questions :)

54^1 would be 1, but in this instance we are multiplying 54 by 1 so that means 1 goes into 54, 54 times. This means the answer is 54

There are 30 businesses with 4 executives each for the new office building. Each business needs one office for each of its
executives. The building has 1,440 offices. What is the proportion of executives to offices?
A 1 to 12
B
4 to 1
C
1 to 6
D
6 to 1​

Answers

Answer:

A. 1 to 12

Step-by-step explanation:

if each business has 4 executives there is a total of 120 executives

30(4) = 120

to find the proportion of executives to offices we divide the number of offices by the number of executives

1440/120 = 12

a more in depth look is

1440 offices / 120 executives

"offices" and "executives" cannot divide each other out, but the 1440 and 120 can so it would be

12 offices / 1 executive

If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?

A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation

Answers

Answer: A) Reflection across the y-axis

rite an addition equation to show how you decomposed
7/6
.

Answers

Answer:

For the fraction model, fill the whole left bar, and only 1 in the right bar.

The addition equation is:

⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6

Explanation:

Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.

A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.

Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

1. Calculate the range and interquartile range for each set of data.
2. Using complete sentences, compare the data sets based on your results in part A.

Answers

Answer:

ok so the range for studied is 21 and the interquartile is 10

and the range for did not study is 46 and the interquartile is 19.5

Step-by-step explanation:

also, what do you need for 2 comments so I can help  brainlyness  please

guys i need help on my aleks topics pls!

Answers

No aswer is correct

Step-by-step explanation:

Alright so..

For a) it should be the second choice. You can clearly see as months pile on, so does the money. Now they ask for the rate. Let’s do the 6 months one. 423/6 is 70.5.

So the rate is for every 1 month, it’s $70.50 added. And if I’m not wrong, I believe she started with $70.50 in the bank. She rich rich

I don't really understand this question.

Answers

Answer:

a) 3/2 or 1 1/2

b) 5/3 or 1 2/3

Step-by-step explanation:

1/2 + 1/2 + 1/2 =

3 x 1/2 =

3/2 or 1 1/2

1/3 + 1/3 + 1/3 + 1/3 + 1/3 =

5 x 1/3 =

5/3 or 1 2/3

Answer: (a) 1 1/2 and (b)  1 2/3

Step-by-step explanation:  (a) 1/2 + 1/2 + 1/2 = 1/2 x 3

                                                                     = 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).

                                            Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)

(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
                                                     = 5/3

mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)

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