he diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about 113.04 m. What is the circumference of the​ circle? What mistake did Eugene ​make? Use 3.14 for pi.

Answers

Answer 1

Answer:

The circumference of the​ circle is [tex]C=56.55 \:m[/tex].

Eugene confused the radius with the diameter to find the circumference of the circle.

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle.

The circumference of a circle is found using this formula:

[tex]\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}[/tex]

From the information given the diameter of the circle is 18 m. Therefore, the circumference of the​ circle is

[tex]C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m[/tex]

Eugene used the wrong formula to find the circumference of a circle.

[tex]C=2\cdot(3.14)\cdot 18=113.04 \:m[/tex]

He confused the radius with the diameter.

Answer 2

Answer:

Eugene used the wrong formula to find the circumference of a circle.

He confused the radius with the diameter.

Step-by-step explanation:


Related Questions

point c' (_4, _3) is the image of c (_2, _3) under a translation

Answers

Answer:

2 units moved?

Step-by-step explanation:

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

[tex]x^2 - 12x+ 35[/tex]

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume

Answers

+16 will give the volume
2x2=4
4x4=16

x^2 + 1/2x +____ = 2 + ____

Answers

Answer:

  1/16, 1/16

Step-by-step explanation:

Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:

  ((1/2)/2)^2 = (1/4)^2 = 1/16

The number to complete the square is 1/16. It is added to both sides of the equation to give ...

  x^2 +1/2x +1/16 = 2 +1/16

_____

Written as a square, the equation is ...

  (x +1/4)^2 = 33/16

Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09

Answers

Answer:

$110,579.39 this is the right answer.

Order the steps needed to simplify this expression

(3+1)^2-17•2+24/3+5

Simplify inside parentheses

Perform addition and subtraction left to right

Perform multiplication and division

Evaluate exponents

Answers

Answer:

Step 1

Step 4

Step 3

Step 2

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given expression is

[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]

Step 1:-

Simplify the parenthesis

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]

Step 2:- Evaluate exponents

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]

Step 3:-Perform multiplication and division

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]

Step 4:- Perform addition and subtraction left to right

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

To know more about the simplification

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A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.Which equation represents x, the side length of the greater square?

Answers

Answer:

8 is the side length of the greater square.  100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

A bag contains four chips of different​ colors, including​ red, blue,​ green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes​ (for example RB represents the outcome red chip followed by blue​ chip) and use your list to determine the probability that one blue chip and one yellow chip are selected.

Answers

Answer:

Check Explanation please.

Probability = 0.25.

Step-by-step explanation:

The Important thing to note here is that we have sixteen(16) different possible outcomes for this particular problem or question.

From the question above, we are given the following information or data: ''bag contains four chips of different​ colors, including​ red, blue,​ green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random"

Hence, the sixteen (16) different possible outcomes are; RR, RB, BB, BR, RG, GR, GG, RY, YR, YY, BG, GB, BY, YB, GY, YG.

To calculate the probability we need to used the numbers of f different colors divided by the number big possible outcomes, that is; 4/16 = 0.25.

Probability that one blue chip and one yellow chip are  selected is 1/8

Given that a  bag contains four chips of different colors

The colors given are red , blue, green and yellow

A chip is selected at random from the bag and replaced in the bag

After that a second chip is selected at random.

In both the selections there is a equal probability of choosing any color chip at random

So  for the first chip the color can be either  blue , green red  or yellow.

Similarly for the second chip the color of the chosen chip can be either  blue , green , red or  yellow

We can make set of possible outcomes for the colors of chips in the first and the second draw

The number of possible outcomes are 16 in numbers

{ RR, RB, RG, RY. BR, BB, BG, BY, GR,GB, GG, GY, YR, YB, YG, YY}

Probability that one blue chip and one yellow chip are  selected is 1/8

Since there is only two such case.

For more information  please refer to the link given below

https://brainly.com/question/795909

The area of a rectangular swimming pool is 360 square feet. If the length of the pool is 9 feet more than it’s width, find the length of the pool

Answers

Answer:

The length of the pool is [tex]L=24\:ft[/tex].

Step-by-step explanation:

The area of a rectangle is given by [tex]A=L\cdot W[/tex] where L is the length, W is the width.

If the length of the pool is 9 feet more than it’s width, this means that [tex]L=9+W[/tex]

We know that the area of a rectangular swimming pool is 360 [tex]\:ft^2[/tex]. So we simple insert the length ([tex]L=9+W[/tex]), width ( [tex]W[/tex]) and area (360) into the formula and  solve the resulting equation.

[tex]360=\left(9+W\right)W\\\\360=9W+W^2\\\\9W+W^2=360\\\\W^2+9W-360=0[/tex]

[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]\mathrm{For\:}\quad a=1,\:b=9,\:c=-360:\quad W_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}\\\\W=\frac{-9+\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= 15[/tex]

[tex]W=\frac{-9-\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= -24[/tex]

A length cannot be negative. So [tex]W=15[/tex] and the length of the pool is [tex]L=9+15=24\:ft[/tex]

If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?

Answers

Answer:

  $3,951

Step-by-step explanation:

The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...

  2^(13/6) ≈ 4.489848

Its value will be ...

  $880·4.489848 ≈ $3,951

If you just comment just to comment I’ll report you ok

- geometry

Answers

Answer:

6644.7 cubic meters

Step-by-step explanation:

[tex]\text {Fomula for volume of a cube: } V=s^3\\s-\text {Side Measure}[/tex]

The side measure is 18.8m.

[tex]V=18.8^3\\V= 18.8*18.8*18.8\\\boxed{V=6644.672}[/tex]

6644.672 ≈ 6644.7

The volume of the cube should be 6644.7 cubic meters.

Brainilest Appreciated.

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units

Answers

Answer:

A

Step-by-step explanation:

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha

Answers

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

             

At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365  tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.

Answers

They left with 121$ Bc they was with single ticket

The distance between the origin and the point representing the real number.

Answers

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

solve for x. x+y = 14

Answers

Answer:

There is not enough information to specifically tell you the amount for x

Answer:x=14-y

Step-by-step explanation:

x+y=14

x=14-y

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.


A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.

Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.

Answers

Answer:

Its A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

It is A.Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

got a 100 on the test

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

It is forsure A has to be

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Square roots are 5 and 6

since you cannot simplify 5/6 anymore, that is the answer

i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel​

Answers

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.

Answers

Answer:

  x = -3

Step-by-step explanation:

The line parallel to x=8 is another vertical line:

  x = constant

To make it go through a point with an x-coordinate of -3, the constant must be -3.

Your line is ...

  x = -3

Answer:

x=-3

Step-by-step explanation:

khan

There are 3 white marbles and 7 blue marbles in a bag. Hannah will randomly pick a marble out of the bag. What is the probability of Hannah picking a blue marble?

Question 2 options:

1


3/10


7/10


1/2

Answers

7 blue marbles and 10 total marbles.

Picking blue would be 7 blue/ 10 total = 7/10

What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Just the 46×23 to the fourth power times 1000

Answers

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

Y= - x+2 Y=3x-4
Estimate the solution to the system of equations

Answers

Answer:

[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y=-x+2\\y=3x-4[/tex]

Let's solve one of them for x.

[tex]y=3x-4[/tex]

Add 4

[tex]y+4=3x[/tex]

Divide by 3.

[tex]x=\frac{y+4}{3}[/tex]

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

[tex]x=\frac{y+4}{3}[/tex]

[tex]x=\frac{(-x+2)+4}{3}[/tex]

[tex]x=\frac{-x+2+4}{3}[/tex]

[tex]x=\frac{-x+6}{3}[/tex]

Multiply by 3 to get rid of the denominator.

[tex]3x=-x+6[/tex]

add x

[tex]3x+x=6[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]x=\frac{6}{4}[/tex]

Simplify.

[tex]x=\frac{3}{2}[/tex]

Now that you found the value of x, replace it in any of the equations to find y.

[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]

[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]

Proof:

[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]

[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]

[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]

[tex]\frac{1}{2}=\frac{1}{2}[/tex]

The angle θ lies in Quadrant III . cosθ=−1/6 What is tanθ ?

Answers

With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get

[tex]\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6[/tex]

Then from the definition of tangent, that is

tanθ = sinθ / cosθ

we get

[tex]\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}[/tex]

The value of [tex]\tan \theta[/tex] is required.

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

[tex]\cos \theta=-\dfrac{1}{6}[/tex]

We have the identity

[tex]\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}[/tex]

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

Learn more:

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This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?

90
94
88
92

Answers

Answer:

~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~

Step-by-step explanation:

1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88

2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:

92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)

3. Now let us solve this equation for x through simple algebra ⇒

92 + 96 + 94 + 88 + x/ 5 =  92 ⇒

370 + x/5 = 92 ⇒

x/5 + 74 = 92 ⇒

x/5 = 18

x = 90

4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes

Answer: She would need a 90

Step-by-step explanation: I did the iready

What is the answer to the following equation.9+10

Answers

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answers

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left

Answers

7.8-0.7 =7.1 .........

Greetings, Brianna!

In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.

1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.

2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:

7.8

-0.7

3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.

[tex]8 - 7 = 1[/tex]

[tex]7 - 0 = 7[/tex]

7.8

-0.7

 71

4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!

Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before.  If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar,  directly underneath the other points. Don't pay much attention to it.

*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!

 7.8

-0.7

 7.1

Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.

Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.

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