Which pyramid has a greater volume and how much greater is its volume?

The volume of the pyramid on the left is greater by 8in 3
The volume of the pyramid on the left is greater by 24 in.
The volume of the pyramid on the right is greater by 8 in 3.
The volume of the pyramid on the right is greater by 24 in.

The volume of a cylinder is the area of the base circle times the height.

The area of a circle is [tex]\pi r^2[/tex]. Since the diameter is 19.05, the radius will be half that diameter:

[tex]r=\dfrac{d}{2}=\dfrac{19.05}{2}=9.525[/tex]

So, the base area is

[tex]A=\pi(9.525)^2[/tex]

Multiply this by the thickness and you'll get the volume.

Final answer:

The approximate volume of a roll of pennies can be calculated using the volume formula for a cylinder, considering the diameter and thickness of a penny, converting measurements to the same units, and then multiplying by the number of pennies in a roll.

Explanation:

To solve for the approximate volume of a roll of pennies, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height of the cylinder. In this case, the diameter of a penny is given as 19.05 mm, which means the radius is half of that, 9.525 mm or 0.9525 cm. The thickness of each penny is 1.52 mm or 0.152 cm. If we assume a roll of 50 pennies, the height of the roll would be 50 times the thickness of one penny.

First, we convert the radius into centimeters by dividing by 10: 0.9525 cm. Then we use the formula to calculate the volume: V = π * (0.9525 cm)^2 * (0.152 cm * 50), which provides the volume of the roll of pennies. As the question asks to approximate the volume to the nearest tenth, we can perform this calculation and round the result accordingly.

Volume calculation and unit conversion are crucial elements in this type of problem. Moreover, the accuracy of the estimation is important, which should be within an acceptable range like 5%.

Hope this will help u ...

Answer:

x=23

Step-by-step explanation:

180-145= 35 so you have to set the equation to 35. 3x-34=35. add 34 to each side. now you have 3x=69. divide 3 on each side and you get x=23

Answer:

95%

Step-by-step explanation:

Let the proportion who can swim be denoted by P(S) while the proportion that can whistle be denoted by P(W)

The proportion that can swim and whistle will be P(S and W)

The proportion that can swim or whistle will be P(S or W)

To get the proportion that can swim or whistle will be P(S or W), we use

P(S or W)=P(S)+P(W)-P(S and W)

Given that P(W) is 70%, P(S) is 80% and P(S andW) is 55% then

P(S or W)=80%+70%-55%=95%

Answer:

[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]

Step-by-step explanation:

We want to factor the common monomial out of :

[tex]20 {y}^{6} - 15 {y}^{4} + 40 {y}^{2} [/tex]

The greatest common monomial fact is

[tex]5 {y}^{2} [/tex]

We factor to get:

[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]

The expression in the parenthesis has no common factor again since we factored the greatest common factor.

The greatest common factor of 20y^620y

6

20, y, start superscript, 6, end superscript, -15y^4−15y

4

minus, 15, y, start superscript, 4, end superscript, and 40y^240y

2

40, y, squared is 5y^25y

2

5, y, squared.

[Show me how to find the greatest common factor.]

Now we need to factor 5y^25y

2

5, y, squared out of 20y^6-15y^4+40y^220y

6

−15y

4

+40y

2

20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared.

Hint #22 / 3

\begin{aligned} &\phantom{=}20y^6-15y^4+40y^2 \\\\ &=5y^2(4y^4)+5y^2(-3y^2)+5y^2(8) \\\\ &=5y^2\left(4y^4-3y^2+8\right) \end{aligned}

​

=20y

6

−15y

4

+40y

2

=5y

2

(4y

4

)+5y

2

(−3y

2

)+5y

2

(8)

=5y

2

(4y

4

−3y

2

+8)

​

Hint #33 / 3

In conclusion,

20y^6-15y^4+40y^2=5y^2\left(4y^4-3y^2+8\right)20y

6

−15y

4

+40y

2

=5y

2

(4y

4

−3y

2

+8)20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared, equals, 5, y, squared, left parenthesis, 4, y, start superscript, 4, end superscript, minus, 3, y, squared, plus, 8, right parenthesis

Answer:

1) d

2) f

3) a

Step-by-step explanation:

1) 6² = 36 cm²

2) ½ (pi × (6/2)²)

= 14.14 cm²

3) 36 + 4(14.14)

= 92.56 cm³

Answer: 4.50 + p

Step-by-step explanation: For this problem we will write and simplify an expression to represent how much more Elana spent.

8.75 + 5p - (4.25 + 4p)        ---Distribute the negative sign to the numbers inside the parentheses.

8.75 + 5p - 4.25 - 4p            ---Combine like terms

8.75 - 4.25 + 5p - 4p

4.50 + p

So, the expression 4.50 + p represents how much more Elana spent.

Final answer:

Elana spent $4.50 plus the price of 1 pound of cherries more than Taniy. The expression representing this difference is simplified to $4.50 + p.

Explanation:

To find out how much more Elana spent than Taniy, we'll write an expression representing the total amount each person spent, using p as the variable for the price per pound of cherries. Elana's total spending is the cost of the watermelon plus the cost of cherries, expressed as 8.75 + 5p. Taniy's total spending is the cost of the pineapple plus the cost of cherries, expressed as 4.25 + 4p. To find the difference in their spending, we subtract Taniy's total from Elana's total.

The expression representing how much more Elana spent is:

(8.75 + 5p) - (4.25 + 4p)

Now we simplify the expression:

8.75 + 5p - 4.25 - 4p which simplifies to 4.50 + p.

Therefore, Elana spent $4.50 plus 1 pound of cherries more than Taniy.

Answer:

20

Step-by-step explanation:

because they end with same hour just subtract 25 from 45

45 -25= 20

Answer:

Step-by-step explanation:

3.8×10^{-5}:8.1×10^3

[tex]\frac{3.8 \times 10^{-5}}{8.1 \times 10^3} \\\approx4.69 \times 10^{-9}[/tex]

Performing this mathematical operation in scientific notation gives us the answer 4.691 x 10^-8.

To solve this mathematical problem, we will first divide the coefficients and then subtract the exponents of the 10s, because we are dividing. The operation 3.8 ÷ 8.1 equals approximately 0.4691. However, we have to express the coefficient in scientific notation, so we adjust it to 4.691. At the same time, we adjust the exponent by adding 1 to it, to account for the fact that we moved the decimal one place. The operation -5 - 3 equals -8. So, the final answer is [tex]4.691 \times 10^-8.[/tex]

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Answer:

6

Step-by-step explanation:

the middle number of the given list

Answer:

median = 6

Step-by-step explanation:

5, 7 are in the middle.

You add these and divide by 2 to get the median.

Answer:

525 people

Step-by-step explanation:

3000/200=15

You multiply 15 by 35

This equals 525.

Answer:

525

Step-by-step explanation:

heres why

because 35/200 is a fraction that can be used in decimal form to multipy with 3000 to find the total ammount of people that said that this was their first concert

the decimal used is .175 so multply that with 3000 and you get 525

If brainiest is earned its greatly Appreciated

Answer:

26.57°

Step-by-step explanation:

[tex]2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}[/tex]

Answer:

Step-by-step explanation:

To the evaluate -5.3+7.9

We get

2.6

Therefore the error

=2.6-2.4

=0.2

Answer:

He saw 9 movies :0

Step-by-step explanation:

First, you take the total cost and subtract the one time cost from it ($68 - $14 = $54) Next, you take the $54 and divide it buy the cost of dollars per movie. ($54/$6 = 9)

So, 9 is your answer.

Hope this helps!!

Final answer:

To find the number of movies Fern saw, subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket. Fern saw 9 movies.

Explanation:

To find the number of movies Fern saw, we need to subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket.

The cost of the discount movie pass is $14, and Fern spent a total of $68. So, $68 - $14 = $54 is the amount she spent on movie tickets.

Since each movie ticket costs $6, we divide the amount she spent on movie tickets by the cost of each movie ticket: $54 ÷ $6 = 9.

Therefore, Fern saw 9 movies.

Answer:

24.25 units for a.pe.x if the triangle has the sides x,14, and 28

Step-by-step explanation:

The value of the labeled side , x is 24.25 units.

From pythagoras :

From the question given:

Now we have ;

Adjacent = √(784 - 196)

Adjacent = √588

Adjacent = 24.248

Hence, the value of x = 24.25 units.

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Answer:

909.041207??

Step-by-step explanation:

The value of y in the given equation equals -3.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

5(y + 2/5) = -13

We have to find the value of y.

Using the distributive property,

5(y + 2/5) = (5y) + (5 × 2/5)

So,

(5y) + (5 × 2/5) = -13

5y + 2 = -13

Subtracting both side by 2, we get,

5y = -13 - 2

5y = -15

Dividing both sides by 5,

y = -3

Hence the value of y is -3.

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Final answer:

To solve the equation 5(y + 2/5) = -13, you distribute the 5 across the parentheses, subtract 2 from both sides, and then divide by 5 to find that y = -3.

Explanation:

To find the value of y in the equation 5(y + 2/5) = -13, we will follow several steps to isolate y. First, we apply the distributive property of multiplication over addition, which gives us 5y + 2 = -13.

Next, we subtract 2 from both sides of the equation, obtaining 5y = -15. Finally, we divide both sides of the equation by 5 to solve for y, resulting in y = -3.

Answer:

The answer is D

Step-by-step explanation:

The solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.

We need to find the solution set of the following inequalities:

A set of {x | x > -5} u {x | x < 5} has the solution of all values of x greater than -5.

The solution is all values of x greater than -5.

This is the union of both the inequalities, therefore all the real numbers will justify the inequalities.

Then, the solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.

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Answer:

7/12.

Step-by-step explanation:

The total possible outcomes = 6*6 = 36.

Possible outcomes for a total  8 or greater are :

2,6  6,2  3,5   5,3  3,6  6,3   4,4  4,5  5,4  4,6  6,4  5,5,  5,6  6,5  6,6 = 15.

So the number of outcomes for a sum < 8 = 36 - 15 = 21.

Answer is 21/36 = 7/12.

Answer:

4 Hr.

Step-by-step explanation:

Given,

Your pump alone can empties the water in = 8 hrs

With the help of friend pump it take = 2.67 hr

time taken by friends to empty the whole tank = t = ?

We have,

[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]

[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]

[tex]\dfrac{1}{t}=0.2499[/tex]

[tex]t = \dfrac{1}{0.2499}[/tex]

[tex]t = 4\ hrs[/tex]

Time taken to empty the tank by the friends pump alone is equal to 4 Hr.

The time taken should be 4 hours.

Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.

So, here the time taken be

[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]

t = 4 hours

hence, The time taken should be 4 hours.

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Answer:

  b. x(x +4)

Step-by-step explanation:

The perimeter is 4 times the length of one side, so is ...

  P = 4(x +4)

The area is the square of the length of one side, so is ...

  A = (x +4)(x +4)

The difference in these values is ...

  A - P = (x +4)(x +4) - 4(x +4)

The latter factor can be factored out to give ...

  A - P = (x +4 -4)(x +4)

  A - P = x(x +4) . . . matches B

Answer:

translation maybe

Answer:

s = -18

b is correct option

Step-by-step explanation:

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

By cross multiplication

4×9 = -2×s

0r

-2×s = 4×9

s = 36 ÷ -2

s = -18

Answer: The individual has 27.056 pounds of body fat to be exact, and rounded to the nearest tenth is 27.1 lbs of body fat.

continuous i believe.

Answer: yes her calculations were reasonable because : 63/12=5.25

Step-by-step explanation:

Final answer:

Heather's estimation that each light costs about $5 is closer to the actual cost of $5.25 per light. Her calculated cost of $2.40 per light is not reasonable as it significantly underestimates the actual cost.

Explanation:

The question is asking whether Heather's calculation for the actual cost of each patio light is reasonable. Initially, Heather estimated each light to cost about $5, but after calculation, she found the cost to be $2.40. To verify this, we can divide the total cost by the number of lights. So, the calculation is as follows:

Total cost for 12 lights = $63

Actual cost per light = Total cost / Number of lights

Actual cost per light = $63 / 12

Actual cost per light = $5.25

Based on this calculation, Heather's estimate of $5 per light was closer to the actual cost, which is $5.25 per light. Therefore, her calculation of $2.40 per light is not reasonable as it is quite far from the actual calculated cost.

Answer:

the answer is 41

Step-by-step explanation:

90-49=41

Answer:

b is 49 because 90-41equals 49

Answer:

136 Inches

Step-by-step explanation:

One side will be x. The other will be 3x.

x=17

3x=51

It is asking for 8x

8x=136

Answer:

136 inches

Step-by-step explanation:

The perimeter of a rectangle can be found using:

p=l+l+w+w

We know the width is 17, and the length is 3 times the width, which is 17

p=(17*3)+(17*3)+17+17

p=51+51+17+17

p=136

So, the perimeter is 136 inches