10.
The class was asked to find the area for a circle with a diameter of 12cm. Brandy solved the
problem showing all her work. Find and explain the error Brandy made. Then solve for the
correct answer
A= her?
A= 3.14 x 122
A = 452.2cm

Answers

Answer 1

Answer:

383.08‬

Step-by-step explanation:

Multiply 3 times 122 which is 366

Then multiply .14 times 122 which is 17.08

Then add.

Answer 2

Final answer:

Brandy's mistake was not converting the diameter to the radius before applying the area formula A = πr². The correct area of a circle with a diameter of 12 cm is 113.04 cm², but it should be reported as 110 cm² to maintain two significant figures.

Explanation:

The error in Brandy's solution for finding the area of a circle with a diameter of 12 cm lies in not first converting the diameter into the radius. The formula for the area of a circle is A = πr², where r is the radius and π (pi) is approximately 3.14. Since the radius is half of the diameter, for a diameter of 12 cm, the radius is 6 cm. Thus, the correct calculation is A = 3.14 × 6².

Correct solution:

A = 3.14 × 6 cm²

A = 3.14 × 36 cm²

A = 113.04 cm²

As for the significance of figures, since the radius has two significant figures (6 cm), the calculated area should also be limited to two significant figures, rounding to 110 cm².


Related Questions

Find the equation of the line specified.
The slope is 6, and it passes through ( -4, 4).

a.
y = 6x + 4
c.
y = 12x + 28
b.
y = 6x - 20
d.
y = 6x + 28

Answers

Answer:

y = 6x + 28

Step-by-step explanation:

We are to determine the equation of a line whose slope or gradient is 6 and passes through the point (-4, 4)

The slope-intercept form of the equation of the straight line would be given by;

y = mx + c

y = 6x + c

We proceed to use the given point to determine c;'

when x = -4, y = 4

4 = 6(-4) + c

4 = -24 + c

c = 28

The slope-intercept form of the equation of the straight line is thus;

y = 6x + 28

For this case we have that by definicon, the equation of a line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

They tell us that the slope is 6, then:

[tex]y = 6x + b[/tex]

We substitute the given point, to find the cut point:

[tex]4 = 6 (-4) + b\\4 = -24 + b\\b = 4 + 24\\b = 28[/tex]

Finally:

[tex]y = 6x + 28[/tex]

Answer:

Option D

What is the sum of the geometric sequence −4, 24, −144, ... if there are 6 terms?

Answers

Answer:

-6718464

Step-by-step explanation:

-4x-6=24

24x-6=-144

and keep on doing times -6 6 more times

Answer: The sum is 25220

Step-by-step explanation:

1) -4

2) -4*-6 =24

3) 24*6 = 144

4) 114*-6 = -864

5) -864*6 = -5184

6) -5184*-6= 31104

The sum is: 25220

Please help I’m very confused I will mark brainliest

Answers

Answer:

$3.52 or $3.53

Step-by-step explanation:

We know that he is paying $2.35 per pound, and that he is buying 1.5 pounds worth of pears. Simply multiply 2.35 times 1.5 to get your answer, depending on how far you round, which is 3.52 or 3.53.

1 pound = $2.35

Leo bought 1 pound and 0.5 of a pound (half of a pound). To find how much 0.5 of a pound costs divide 2.35 (the cost of one full pound) by two

2.35 ÷ 2 = 1.18

so...

1 + 0.5 = 1.5

and

2.35 + 1.18 = 3.53

Leo spent $3.53 on 1.5 pounds of pears

Hope this helped!

~Just a girl in love with Shawn Mendes

What would be the appropriate units and intervals to use along the x- and y-axes

Answers

X axes are supposed to be positive and the y is negative.

The graph below represents the average monthly rainfall (y), in inches, in
Miami, FL during 2012 plotted against the time (x), in months. Which of the
following descriptions is representative of the data presented in the graph?

Answers

Answer:

The amount of rainfall increases as an exponential function of time.

Step-by-step explanation:

Answer:

C ;
Here is the picture if the letter changes! Sorry, it was hard to screenshot proof!


EDGE2023; Good Luck :3!!

if 3x+1 has a value of 17 for some value of x then the expression 6x+1 will have which of the following?
1)22
2)33
3)35
4)42

Answers

Answer:

2) 33

Explanation:

First, identify x.

3x+1=17

3x=16

X=16/3

Then substitute x in the expression.

6x+1=?

6(16/3)+1=?

32+1=?

33=?

So, the answer is #2.

Final answer:

When the equation 3x + 1 equals 17, the value of x is 16/3. Substituting this value of x into the expression 6x + 1 results in an answer of 33.

Explanation:

The subject of the question is Mathematics and it appears to be at a High School level. Given the equation 3x + 1 = 17, we can first solve for x by subtracting 1 from both sides resulting in 3x = 16 and then dividing both sides by 3 which gives x = 16/3. Then we can substitute this value of x in the expression 6x + 1 giving us 6*(16/3) + 1 which simplifies to 32 + 1 = 33. So, the value of the expression 6x + 1 is 33 when the value of the expression 3x + 1 is 17.

Learn more about Algebra here:

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addison walked 6 miles in 4 hours what was her walking rate in hours per mile

Answers

Answer: 0.66 hours per mile

Step-by-step explanation:

You know that in 4 hours Addison walked 6 miles.

Now, you need to calculate the amount of hours she walked in 1 mile.

 Let be "x" the amount of hours she walked in 1 mile.

Then, to calculate the value of "x" you need to multiply 1 mile by 4 hours and divide by 6 miles:

[tex]x=\frac{(1mile)(4hours)}{6miles}\\\\x=\frac{2}{3}\ hours[/tex]

[tex]x[/tex]≈[tex]0.66\ hours[/tex]

Therefore, her walking rate in hours per mile was:

0.66 hours per mile

Does the point (-10,3) lie on the circle that passes through the point (-2,9) with center (-3,2)? Explain

Answers

Answer:

yes

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 3, 2), so

(x + 3)² + (y - 2)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, 9)

r = [tex]\sqrt{(-2+3)^2+(9-2)^2}[/tex] = [tex]\sqrt{1^2+7^2}[/tex] = [tex]\sqrt{50}[/tex], hence

(x + 3)² + (y - 2)² = 50 ← equation of circle

Substitute (- 10, 3) into the left side of the equation and if equal to the right side then the point lies on the circle

(- 10, 3) : (- 10 + 3)² + (3 - 2)² = (- 7)² + 1² = 49 + 1 = 50

Hence (- 10, 3) lies on the circle

State if the triangles in each pair are similar.
If so, state how you know they are similar and complete the similarity statement.
A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC

Answers

Answer:

Option C) similar; SSS similarity; ΔABC

Step-by-step explanation:

we know that

The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar

In this problem

80/30=56/21=72/27

2.67=2.67=2.67 -----> is true

therefore

The triangles STU and ABC are similar by SSS similarity

Answer:  The correct option is

(C)  similar; SSS similarity; ΔABC.

Step-by-step explanation:  We are given to check whether the pair of triangles in the figure are similar to each other or not.

If so, we are to complete the similarity statement.

From the figure, we note that

the lengths of the sides of triangle STU are

ST = 72, TU = 80 and SU = 56.

And, the lengths of the sides of triangle ABC are

AB = 27, BC = 30 and AC = 21.

So, we get

[tex]\dfrac{ST}{AB}=\dfrac{72}{27}=\dfrac{8}{3},\\\\\\\dfrac{TU}{BC}=\dfrac{80}{30}=\dfrac{8}{3},\\\\\\\dfrac{SU}{AC}=\dfrac{56}{21}=\dfrac{8}{3}.[/tex]

That is,

[tex]\dfrac{ST}{AB}=\dfrac{TU}{BC}=\dfrac{SU}{AC}=\dfrac{8}{3}.[/tex]

Therefore, the corresponding sides of the two triangles are proportional.

Hence, triangle ABC and STU are similar by SSS similarity.

Option (C) is CORRECT.  

What is the mode for the data set? 59, 57, 56, 50, 58, 51, 54, 59, 55, 52, 53.

Answers

Mode means the number that appears most often in the data. Below I provided a tally of how many each of the numbers appear

59: twice

57: once

56: once

50: once

58: once

51: once

54: once

59: once

55: once

52; once

53: once

As you can see 59 appears the most often, being listed twice in the data set, and is therefore the mode

Hope this helped!

Answer:

your answer would be 59 scenice it goes twice i hope this helps have a great day

Step-by-step explanation:

In a child's bank are 11 coins that have a value of S1.85. The coins are either
quarters or dimes. How many coins each does child have?
a. Define your variables:
b. Write the equations:
d. Check:
c. Solve:

Answers

Answer:

The child has 6 dimes and 5 quarters.

Step-by-step explanation:

Let q and d represent the number of quarters and of dimes respectively.

Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).

Multiply the 2nd equation by 100 to remove the decimal fractions:

25q + 10d = 185 (Equation C)

Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:

-10q - 10d = -110

25q + 10d = 185

--------------------------

15q         = 75, and so q = 75/15 = 5.

According to Equation A, q + d = 11.  Replacing q with 5, we get:

5 + d = 11, and so d = 6.

The child has 6 dimes and 5 quarters.

The ratio of dogs to cats at the pet stores 1:3. If there are 6 more cats than Dogs, how many dogs are the pet store?

Answers

Answer:

3

Step-by-step explanation:

The number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratio of dogs to cats at the pet stores is:

1:3

Let's suppose there are x dogs, then cats are 3x

3x = x + 6

2x = 6

x = 3

Thus, the number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.

Learn more about the ratio here:

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Miguel has a ladder with legs of equal length. He opened the ladder and placed it on the floor. What type of triangle is formed by the ladder and the floor?

Answers

Answer:

  (B) isosceles

Step-by-step explanation:

An isosceles triangle is one that has two sides of equal length.

___

If the distance between the legs were the same as the leg length, then the triangle would be equilateral. There is nothing in the problem statement suggesting this is the case.

is mean affected by outlier

Answers

Answer:

it measures spread around the mean. Because of its close links with the mean, standard deviation can be greatly affected if the mean gives a poor measure of central tendency. Standard deviation is also influenced by outliers one value could contribute largely to the results of the standard deviation.

Step-by-step explanation:

Answer with explanation:

Mean of a data set is defined as sum of all the observation divided by total number of observation.

For, example

Consider the Data set,the cost of five pens,={3,5,8,10,14}

Mean

      [tex]=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8[/tex]

Now, Two pens having cost $ 47 and $ 53 is included in the Data set

New data set of Seven pens,={3,5,8,10,14,47,53}

   Mean

      [tex]=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20[/tex]

So, you can see there is variation or Difference between two means.

We can conclude from above two results ,that mean is affected by outlier.

If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.

Answers

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

[tex]\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.[/tex]

Solve this system of two equations. From the first equation:

[tex]4x-5x=-7-4\\ \\-x=-11\\ \\x=11[/tex]

Substitute it into the second equation:

[tex]11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}[/tex]

4m = ? dm please help me

Answers

Answer:

40

Step-by-step explanation:

Just look up the conversion factor and set up the proportion.

1 dm = 1/10 th of a meter

x dm = 4 meters.                  Cross multiply.

1 dm * 4m = x * 1/10 of a meter. Change 1/10 to a decimal.

1 dm * 4 m = x * 0.1 m                  Divide by 0.1

1 dm * 4 m /0.1 m = x

x = 40 dm

Amy collected data to determine how many minutes it takes each member of her freshman track team to run five miles. Identify the striking deviation in her data.
A) 25-30 mins
B) 35-40 mins
C) 45-50 mins
D) 50-60 mins

Answers

Answer:A: 25-30 minutes.Step-by-step explanation:

Consider a striking deviation as an outlier (Something that stands out in a pattern, EX: 2, 3, 4, 4, 4, 5, 5, 10 where the outlier would be 10.) Because there is a piece of data at 25-30 minutes that deviates (Or, separates, in a way), it would be considered an outlier (Or, a Striking deviation). Using this information, we can conclude that the answer would be A: 25-30 minutes.

What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4?

1. H-1 H-2 H-3 H-4
2. H-1 H-2 H-3 H-4, T-1 T-2 T-3 T-4
3. H-1 T-2 H-3 T-4
.4 1-H 2-H 3-H, 1-T 2-T 3-T

Answers

Answer:it is 2 since it include3s all possible answers for both heads & tails.

Step-by-step explanation:

you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can just times 4*2 & know that you have 8 possible answers.

Answer:

H-1 H-2 H-3 H-4, T-1 T-2 T-3 T-4

Louise measured the perimeter of her rectangular scrapbook to be 152 cm. If the scrapbook is 42 cm wide, how long is the scrapbook?
A.
76 cm
B.
34 cm
C.
32 cm
D.
68 cm

Answers

Answer:

B. 34

Step-by-step explanation:

Perimeter= 42+42+x+x

First add the 42 together

42+42 =  84

Then subtract the number away because this was added to the total

152 - 84 = 68

68 is not your missing number

Dividing 68 by 2 which gives you 34

So,

Perimeter = 42+42+34+34 = 152

Please help anyone please

Answers

To solve the problem, we need to find the area of the triangle, and then find 2/3 of that triangle.

The equation to find the area of a triangle is bh1/2 or base*height*1/2.

Now substitute the known values.

24*16*1/2

Solve

24*8

192.

Now, the easiest way to find 2/3 of a number is to divide that number by 3 and multiply the answer by 2.

192/3=64

64*2=128

Omar kept 128 square centimeters of the flag.

Hope this helps!

[tex] \frac{16 \times 24}{2} = \frac{384}{2} = 192[/tex]

192 is the total area of the triangle; since he kept 2/3 of the flag divide the area by three and times it by two:

[tex]192 \div 3 = 64 \times 2 = 128[/tex]

answer is 128cm^2

Which pair of functions is not a pair of inverse functions?
A. f(x)= x+1/6 and g(x)= 6x-1
B. f(x)= x-4/19 and g(x)= 19x+4
C. f(x)= x5 and g(x)= 5√x
D. f(x)= x/x + 20 and g(x)= 20x/x-1

Answers

ANSWER

A,B, and C

EXPLANATION

If

[tex]f(g(x))=g(f(x))=x[/tex]

then f and g are inverse functions.

A.

[tex]f(x) = \frac{x + 1}{6} [/tex]

[tex]g(x) = 6x - 1[/tex]

[tex]f(g(x)) = \frac{6x - 1 + 1}{6} = \frac{6x}{6} = x[/tex]

B.

[tex]f(x) = \frac{x - 4}{19} [/tex]

[tex]g(x) = 19x + 4[/tex]

[tex]f(g(x)) = \frac{19x + 4 - 4}{19} = \frac{19x}{19} = x[/tex]

C.

[tex]f(x) = {x}^{5} [/tex]

[tex]g(x) = \sqrt[5]{x} [/tex]

[tex]f(g(x)) = (\sqrt[5]{x})^{5} = x[/tex]

D.

[tex]f(x) = \frac{x}{x + 20 } [/tex]

[tex]g(x) = \frac{20x}{x - 1} [/tex]

[tex]f(g(x)) = \frac{ \frac{20x}{x - 1} }{ \frac{20x}{x - 1} + 20} = \frac{20x}{40x - 20} = \frac{x}{2x - 1} [/tex]

The correct answers are A, B , C

Evaluate 13 - 0.75w + 8x when w = 12 and x = 1/2

Answers

Answer:

8

Step-by-step explanation:

13 - 0.75 (12) + 8 (0.5)

13 - 0.75 (12) + 4

13 - 9 + 4

4 + 4

8

Answer:

8

Step-by-step explanation:

This year, when Latifa and Jameel add their ages, the sum is 29. Latifa’s age is 10 less than twice Jameel’s age. The system of equations that represents this situation is { L+J=29 { L=2J-10. (L is Latifa’s age and J is Jameel’s age). How old is Latifa?

Answers

Answer:

Jameel is 13 and Laitfa is 13 x 2 - 10 = 16

16 + 13 = 29

Step-by-step explanation:

The equation has already been given to us, so we just have to solve it.

According to the question,

L + J = 29

L = 2J - 10

  L

2J - 10  +  J = 29

add 10 both sides

2J + J = 29 + 10 = 39

3J = 39

J = 39/3 = 13

Done!

What are the solutions to the equation 4b^2-45=-9

Answers

Answer:

b = ±3

Step-by-step explanation:

4b^2-45=-9

Add 45 to each side

4b^2-45+45=-9+45

4b^2 = 36

Divide by 4

4b^2 = 36/4

b^2 =9

Take the square root of each side

sqrt(b^2) = sqrt(9)

b = ±3

A cylinder has a volume of 140pi
cubic meters and a height of 14 meters. What is the area of the base?

Answers

Answer:

The area of the base is [tex]10\pi m^2[/tex]

Step-by-step explanation:

The volume of a cylinder is calculated using the formula:

[tex]Volume=\pi r^2h[/tex]

The volume is given to be:

[tex]V=140\pi m^3[/tex]

The height of the cylinder is h=14 meters.

We substitute these values into the formula to obtain;

[tex]140\pi=\pi r^2\times 14[/tex]

Divide both sides by 14.

[tex]\frac{140\pi}{14}=\pi r^2[/tex]

[tex]10\pi=\pi r^2[/tex]

The area of the base is a circle which is [tex]\pi r^2=10\pi m^2[/tex]

The surface area of a plastic ball is 196 pi. A sponge ball has a radius twice that of the plastic ball. What is the surface area of the sponge ball?
A. 9,604 pi
B. 993 pi
C. 784 pi
D. 546 pi
Explain your answer and please show all work.

Answers

Answer:

Option C. [tex]784\pi\ units^{2}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z-----> the scale factor

x----> surface area of the sponge ball

y----> surface area of a plastic ball

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=2[/tex]

[tex]y=196\pi\ units^{2}[/tex]

substitute and solve for x

[tex]2^{2}=\frac{x}{196\pi}[/tex]

[tex]x=4*(196\pi)=784\pi\ units^{2}[/tex]

Find the missing factor.
5y2 + 4y - 1 = (5y - 1)(
)

Answers

Answer:

(y + 1)

Step-by-step explanation:

Given

5y² + 4y - 1

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

product = 5 × - 1 = - 5 and sum = + 4

The factors are + 5 and - 1

Use the factors to split the y- term

5y² + 5y - y - 1 ( factor the first/second and third/fourth terms )

= 5y(y + 1) - 1(y + 1) ← factor out (y + 1) from each term

= (y + 1)(5y - 1)

A number cube is rolled 360 times, and the results are recorded as follows: 41 ones, 54 twos, 62 threes, 75 fours, 33 fives, and 95 sixes. What is the experimental probability of rolling a 2 or a 3?
A : 0.32
B: 0.18
C: 0.07
D: 0.68

Answers

They had 54 twos and 62 threes.

54 + 62 = 116 outcomes of either 2 or 3

The probability is the number of outcomes divided by the total number of rolls.

116 / 360 = 0.32

The answer is A.

Answer:

0.32.

Step-by-step explanation:

Prob(Rolling a 2) = number of 2's rolled / total number of rolls

=  54/360 = 0.15

Similarly Prob(rolling a 3) =  62/360 = 0.17.

So the probability of a 2 or a 3 = 0.15 + 0.17 = 0.32.

Nia recorded her science and math scores.The measures of center and variation for each score are shown in the table below.

Answers

1, 3, 5

You can tell by looking that her science mean is greater than her math mean.

The higher range number means that her scores in math are more varied and spread out than her science scores.

You can tell by looking that the median scores are the same.

Answer:

A, C, E

Step-by-step explanation:


Let D = {xlx is a state in the United States} be the domain, and let f(x) - "the state capital" be the possible function. Determine if the relation is an example of a function.
Yes, f is a function.

Answers

ANSWER

Yes, f is a function.

EXPLANATION

The domain of the relation is D = {xlx is a state in the United States}

The rule is that f(x) ="the state capital"

The relation will be a function if and only if no two elements in the first set have the same image in the second set.

Since no two states will have the same capital, the relation is a function.

Other Questions
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