Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi inches squared, and multiplied that by the height of 3 inches for a total volume of 12 pi inches cubed. Explain the error Tommy made when calculating the volume of the can.

Answers

Answer 1

Answer:

Tommy used diameter instead of radius in calculation

Step-by-step explanation:

Givend = 2 inchesh = 3 inchesTo findVolume of the canSolution

Volume formula:

V = πr²h

Calculation

V =π(d/2)²h = π(2/2)²(3) = 3π in²

Tommy's error is squaring the diameter instead of radius

Answer 2

Answer:

Sample response: Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches.

Step-by-step explanation:


Related Questions

After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax am

Answers

Answer:

$99.84

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

the total amount he paid after eating plus tax and tip is

78+6.24+15.6

=$99.84

Answer:

99.84

Step-by-step explanation:

verifying identity plz help!
Sin(x+y) sin(x-y)=sin²x-sin²y​

Answers

Answer:

Step-by-step explanation:

sin(x+y) = sin(x)cos(y) + sin(y)cos(x)

sin(x-y) = sin(x)cos(y) - sin(y)cos(x)

Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))

= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)

= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))

= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)

= sin^2(x) - sin^2(y)

So L.H.S=R.H.S

Hence proved

What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction

Answers

Answer:

(B) 54 1/8

6×9

Three times a number increased by 8 is no more than the number decreased by 4. Find the number.

Answers

Answer:

(-oo, -6]

Step-by-step explanation:

Let the number be x

3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]

what is the measure of <x​

Answers

Answer:

14°

Step-by-step explanation:

We know that ∠PQS is a right angle.

We also know that ∠PQR is 76°.

So, to find ∠RQS, we can do 90°-76° = 14°

x° = 14°

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}[/tex]

Step-by-step explanation:

First , let's know about complementary angles :

Two angle are said to be complementary if the sum of their measures is 90° .The best way to think of a complementary angle is ' L - Pattern ' .

Now, set up an equation and solve for x :

[tex] \sf{x \degree + 76 \degree = 90 \degree}[/tex]

Move 76° to R.H.S ( Right Hand Side ) and change it's sign

➺ [tex] \sf{x \degree = 90 \degree - 76 \degree}[/tex]

➺ [tex] \boxed{ \bold{ \sf{x \degree = 14 \degree}}}[/tex]

And we're done !

Hope I helped!

Have a wonderful time ! ツ

Please help me out with those questions...

Answers

Answer:

D

Step-by-step explanation:

find the area of the regular polygon

Answers

Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.

Answers

Answer

The answer is 14:13

14:13 is ratio can’t be simplified

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

On which number line do the points represent negative 4 and 1 over 2 and +3?


Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0.



what is the answer PLZ help asap

Answers

Answer:

ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just put A :)

I need this last one I would give all my pints bcz I don’t understand it

Answers

I don't get it either

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

please help, i need to know this answer!!

Answers

Answer:

It is d

Step-by-step explanation:

In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *

Answers

Answer:

20789

Step-by-step explanation:

The equation of exponential growth is y=A(1+r)^t

A=10,000

r (rate)=0.05 (5% as a decimal)

t (time)=15 (2035-2020=15)

y=10,000(1+0.05)^15

y=20789.2817

you can't have part of a person, so y=20789

Someone help me with this please

Graph y = 5/3x - 9

Answers

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

Somone please help me on 9 and 10. I have done the rest but I am so confused on this. please

Answers

Answer:

C and A

Step-by-step explanation:

Remember what slope means: [tex]\frac{rise}{run}[/tex].

9. The first slope is 2, or [tex]\frac{2}{1}[/tex]. This means it is moving up 2 and over 1. The second option is the reciprocal, [tex]\frac{1}{2}[/tex]. The second slope moves up 1 and over 2. The first slope is going higher than the second at the same distance. But then we are given the third slope. I'm going to assume here that it does not matter whether the slope is negative or positive, you are only considering steepness. If our first slope moved up 2 and over 1, this slope moves down 4 and over 1, meaning it is covering more area over the same distance. So the steepest slope is option C.

10. Right off the bat we can get rid of option C. The slope is zero, meaning a flat line with no steepness. Next, we need to figure out if A or B is steeper.

First, we can turn them into mixed numbers in order to better be able to tell which is greater.

[tex]\frac{5}{3}=1\frac{2}{3}[/tex]

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

Because we don't care whether the line is ascending or descending, we will compare the absolute value of the slopes.

[tex]1\frac{2}{3} >1\frac{1}{2}[/tex]

So we can see that slope A, [tex]\frac{5}{3}[/tex] is steeper than slope B.

I hope this helps!

Work out the value of the expression 2(a +5b) when a=4 and b=3

Answers

Answer:

38

Step-by-step explanation:

2(4+5(3))

2(4+15)

2(19)

38

Answer:

38

Step-by-step explanation:

2(4+5*3)

2(4+15)

2(19)

38

What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?

Answers

31 because it is adding 2 to each number

If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?

Answers

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table. y = x +

Answers

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.​

Answers

Answer:

B

Step-by-step explanation:

An ice cream factory makes 230 quarts of ice cream in 5 hours. What is the constant of proportionality?
A:41
B:46
C:225
D45

Answers

Answer:

C

Step-by-step explanation:

The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?

Answers

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

HELP ME!

CHOOSE CORRECT ANSWERS!

Answers

Is this algebra 1 or 2....


A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?

Answers

Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.

According to the question,

We have the following details:

Number of students in 1st row = 10

Number of students in 2nd row = 14

Number of students in 3rd row = 18

Number of students in 4th row = 22

Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.

It is to be noted that with each row 4 students are increasing.

For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.

Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.

Number of students in 5th row = number of students in 4th row + 4

Number of students in 5th row = 22+4

Number of students in 5th row = 26

Now,

Number of students in 6th row = number of students in 5th row + 4

Number of students in 6th row = 26+4

Number of students in 6th row = 30

Hence, there are 30 students on the 6th row of the bleachers.

To know more about row here

https://brainly.com/question/27917476

#SPJ1

I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?

WILL MARK BRAINLIEST!!!

Answers

Is this algebra 1 or 2 please mark me brainilist I need 1 more please

Write each algebraic expression in words.
Then evaluate each expression for n = 6.
a) 4n:
b) n + 8:
c) n/2:
d) 7 + 3n:
e) 10n – 15:
f) 50 – 8n:
Please help :(((

Answers

a) 4 times a number; 4(6) = 24

b) a number plus 8; (6) + 8 = 14

c) a number divided by 2; (6)/2 = 3

d) 7 added to a number multiplied by three; 7 + 3(6) = 25

e) 15 subtracted from 10 times a number; 10(6) -15 = 45

f) 8 times a number subtracted from 50; 50 - 8(6) = 2

I hope this helps!
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