A square based prism and a cylinder both have
the same height of 12 in. and the same base
area. The volume of the cylinder is 3768 in.?
Based on the concepts of Cavalieri's principle,
what is the perimeter of the base of the prism?

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Answer:

  46 24/25 in

Step-by-step explanation:

Opposite pairs of sides are the same length, so the total length needed is ...

  2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)

  = 46 24/25 . . . inches

Answer:

16

Step-by-step explanation:

8÷2(2+2)​

From PEMDAS, we do the equation in the parenthesis first.

8÷2(4)

Since this is division and multiplication we go left to right.

4(4)

16

Hey there!

[tex]\large\textsf{Do PEMDAS:}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents} \\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\textsf{Subtraction}[/tex]

[tex]\large\textsf{8 }\mathsf{\div}\large\textsf{ 2 (2 + 2)}\\\\\large\textsf{2 + 2}\\\large\text{= \bf 4}}\\\\\large\textsf{8 }\mathsf{\div }\large\textsf{ 2(4)}\\\\\large\textsf{8 }\mathsf{\div}\large\textsf{ 2}\\\large\textsf{= \bf 4}\\\\\large\textsf{4(4)}\\\large\textsf{= \bf 16}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 16}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

are you sure you wrote the problem here correctly ?

because the distance will be 40km after less than half an hour just by the first car driving. way before the second car even starts.

to be precise, it would be after 60 minutes × 40 / 90

(= how many minutes of an hour are needed to reach 40km while going 90km/h) :

60 × 40 / 90 = 60 × 4 / 9 = 20 × 4 / 3 = 80/3 = 26.67 minutes.

but maybe the question was about 400km distance between the two cars.

so, the first car goes 90km/h for 2 hours.

at that moment it will be 2×90=180km ahead.

that would mean that 220km are still missing for the 400km assumption.

with each hour driving the first car makes 20km more than the second car.

to build up 220km that way would require

220/20 = 11 hours.

plus the 2 original head start hours this would make 13 hours as overall answer.

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)

Answer:

She is not correct

Step-by-step explanation:

distance = rate x speed

Damon:

120 = 2r

r = 60 miles per hour

Ashley:

135 = 2.3r

r = 58.7 miles per hour

Answer:

f(-10) = 186

Step-by-step explanation:

Sub in -10 to the x - values:

f(x) = 2[tex]x^{2}[/tex] + [tex]x[/tex] - 4

f(-10) = 2(-10)^2 - 10 - 4

f(-10) = 200 - 10 - 4

f(-10) = 186

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

A, B, and C are the coefficients. They are not the terms as you have written now.

A quadratic equation is in the form Ax^2 + Bx + C. Therefore, A = 1, B = 8, and C = -6.

The axis of symmetry is  found using the equation -b/2a, as you've done. Therefore, the axis of symmetry is -8/2(1) = -4.

Hope this helps!! :)

Umm, where's the question?????

I'm sorry I can't answer that but I know something so you can answer that. search in browser 'quickmath' all your problems, equations and more can be solved

Step-by-step explanation:

I hope it helps trust me

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]

Answer:

Step-by-step explanation:

b,e

Base: 3 units

Height: 5 units

Area: 15 square units

         ([tex]A=b*h=3*5=15[/tex])

hope this helps :)

Answer:

The distribution is negatively (left) skewed

Step-by-step explanation:

Notice how most of the data is clustered on the right side of the distribution and there's more spread in the left side of the data, meaning the left tail is longer. This creates a negative skew in the data. Review the attached diagram to learn more.

Step-by-step explanation:

v8yviyc8yv9yv8yv8yviyv8yv8v6

Answer:

3

Step-by-step explanation:

see image below:)

Answer:

[tex]\frac{22^7}{823543}[/tex] B. 3

Step-by-step explanation:

Answer:

x = 6.93

y = 13.86

Step-by-step explanation:

We can solve x by;

Tan(60) = 12/x

Tan(60) * x = 12

x = 12 / Tan(60)

x = 6.93

We can solve y by;

A² + B² = C²

12² + 6.93² = y²

144 + 48.02 = y²

192.02 = y²

[tex]\sqrt{192.02}[/tex] = y²

13.86 = y

Hope this helps!

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

[tex]a_{n} =a_{1} +(n-1)d[/tex]

Where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term, and [tex]d[/tex] is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do [tex]10-2[/tex], which is [tex]8[/tex] , or the common difference. Since we have everything we need, it can be plugged into the equation:

[tex]a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482[/tex]

So, the 61st term is 482.

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

Answer:

B. $2.42

Step-by-step explanation:

If Liam gave the clerk three $10 bills, that means he gave the clerk $30. This is because 3 times 10 equals 30.

Find how much change he will receive by subtracting $27.58 from the $30 that Liam gave to the clerk:

30 - 27.58

= 2.42

So, Liam will receive $2.42 in change.

The correct answer is B. $2.42

Answer:

 2.42

Step-by-step explanation:

3 ten dollar bills = 3*10 = 30 dollars

Subtract the cost of pizza and wings

30 - 27.58

Line up the decimals

 30.00

- 27.58

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

  2.42

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

Answer:

m = 11581.2 grams

Step-by-step explanation:

Given that,

The density of the ball, d = 0.2 g/in³

The radius of the ball, r = 24 inches

We need to find the mass of the ball in grams.

The density of an object is hiven by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\dfrac{4}{3}\pi r^3}\\\\m=\dfrac{4}{3}\pi r^3\times d[/tex]

Put all the values,

[tex]m=\dfrac{4}{3}\pi \times 24^3\times 0.2\\\\m=11581.16\ g[/tex]

or

m = 11581.2 grams

Hence, the mass of the ball is 11581.2 grams.

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Answer:

  D: {-3, -2, 2}

  R: {1, 2, 4}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

  D: {-3, -2, 2}

The range is the list of second-values of the ordered pairs:

  R: {1, 2, 4}

Answer:

2/8

Step-by-step explanation:

Answer:

27/64

Step-by-step explanation:

3/4 to the second power is 9/16. 3/4 to the third power is 27/64

Answer:

3/8 pounds is greater than 1/4 pounds

Step-by-step explanation:

Turn 1/4 to 2/8 by multiplying the top and bottom by 2

Compare

3/8>2/8

Answer:

Diagram 2= 5  

Diagram 3=10

Diagram 4= 15

Diagram 8 would be 35

Step-by-step explanation:

Answer:

$638.4

Step-by-step explanation:

Randy's gross salary (salary without any deduction) = $760

taxed rate =16%

Amount tax paid =tax% of gross income

=16/100 * $760

=$16*760/100

=$12160/100

=$121.6

net salary = gross salary - tax paid

=$760 - $ 121.6

=$638.4

Randy's net salary is $638.40

Randy's gross salary = $760 per week.

Tax paid on his salary = 16%

Net salary is the difference between the salary earned and the amount paid as tax. This will be:

= Salary - Tax

= $760 - (16% × $760)

= $760 - (0.16 × $760)

= $760 - $121.60

= $638.40

Read related link on:

https://brainly.com/question/23421215

Answer:

The probability of drawing a blue marble is the same as drawing either a red or a green marble. and the probability of not drawing a blue marble is 50%.

Step-by-step explanation: