The volume of a cone is 48π cm3. If this cone is placed inside of a cylinder with the exact same sized base and height, how much empty space is left in the cylinder?

Answer: 4

Step-by-step explanation:

Answer:

I believe that is the diameter.

Answer:

C. Diameter

Step-by-step explanation:

Circumference: The distance around the edge outside of the circle.

Diameter: The distance across the circle that goes through the center.

Radius: The distance halfway across the circle, which is half the diameter.

Center: The point or dot in the middle of a circle.

Answer:

Option D. [tex]\sf 2\sqrt{10}[/tex]

Answer:

Step-by-step explanation :

Given :

To Find :

Solution :

Let the angles be 7x and 8x respectively

As We know that, Sum of supplementary angles is always 180°

So, Adding Both the angles,

→ 7x + 8x = 180°

→ 15x = 180°

→ x = 180/15

→ x = 12

Hence,

Therefore,

Answer:

Answer is 5

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

10.533

Step-by-step explanation:

Have a great rest of your day
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The volume of the cone that has a radius of 8 in. and a height of 10.5 in. is: 703.7 in.³

Volume = 1/3πr²h

Given the parameters:

Volume of the cone = 1/3πr²h = 1/3π(8²)(10.5)

Volume of the cone = 1/3π(64)(10.5)

Volume of the cone = 703.7 in.³

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Answer:

224Pi inches cubed

Step-by-step explanation:

The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.

The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.

Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.

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Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]

Answer:

Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies

Answer:The answer iis 1810.3cm^2

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]

Therefore :-

[tex]\\[/tex]

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Answer:

23 m

Step-by-step explanation:

the median is calculated as

half the sum of the parallel bases , then

median = [tex]\frac{19+27}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23

B) y = 53.8x + 1149.8

C) Total Sales increase from one week to the next by $53.8.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

D) The restaurant's sales for the Monday of the 15th week is expected to be $1956.8

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

B) As by scatter plot,

The total sales for week 4 is given as 1,365 while that of week 9 is 1,634.

Therefore, we shall determine the equation for the line of best fit using the points;

( 4, 1365) and ( 9, 1634)

The first step would be to determine the slope of this line;

slope = (1634 - 1365)/ (9 - 4)

       = 53.8

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

Sales = 53.8(Week) + c

We need to determine c, the y-intercept. We can use the point ( 4, 1365);

1365= 53.8(4) + c

c = 1365-215.2

c = 1149.8

The equation of the line of best fit is thus;

y = 53.8x + 1149.8

C) The slope of the equation for the lines of best fit was found to be 53.8.  

    This value is positive which implies

    Total Sales increase from one week to the next by $53.8.

    The slope in regression is defined as the change in y for every unit change in x.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

D) The equation  for the line of best fit was found to be;

  y = 53.8x+ 1149.8

where y denotes the total sales and x the corresponding week. We are required to determine y when x is 15;

y = 53.8(15) + 1149.8

y = 1956.8

Therefore, the restaurant's sales for the Monday of the 15th week is expected to be $1956.8.

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Answer:

6 tables

Step-by-step explanation:

54 chairs divided by 9 chairs = 6 tables have 9 chairs :)

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

⇒ 1 : Based on the given conditions, formulate

⇒ 54 ÷ 9

⇒ 2 : Calculate

54

----

9

= 6.75

Round down in this case, so

⇒ Answer: 6.

The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:

E' = (-1 + 4, 5 – 2) = (3, 3)

F' = (-1 + 4, -3 - 2) = (3, -5)

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of the E'F' = √(0 + 64) = 8 units

Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

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There were 14 boys at Mina's disco for her birthday.

A ratio is a quantitative value that shows the number of times a certain value is in another value.

It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.

Let the proportionality constant be x.

Therefore total boys and girls are 2x and 3x respectively.

There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:

2x + 3x = 35

⇒ x = 35/5

⇒ x = 7

Total number of boys = 2x

= 2 * 7

= 14 boys

Therefore the total number of boys at the disco is 14.

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Answer:

f(- 2) = - 7

Step-by-step explanation:

substitute x = - 2 into f(x)

f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7

The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2

Quotient can be described as the result you get from dividing a term by another term.

Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)

Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)

Change the division sign to multiplication sign and turn the second fraction upside down

(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)

Bringing out the common terms, we would have:

2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)

Factorize

2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)

Cancel out common factors

= 3(y - 5)/2

Quotient = 3(y - 5)/2

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Answer:b

Step-by-step explanation:

lol

using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Indices in mathematics can be defined as a value that takes up in index form but still retain its magnitude.

It is writing big or complicated values in a simpler and smaller way.

Indices is so important for simplicity purposes.

in conclusion, using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

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Answer:

The answer is B

Please read the explanation... it always helps!!!

Step-by-step explanation:

All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....

but for B you will need to imagine a compass..

alrighty for option B lets examine why it is correct....

Imagine you were standing on a dot (lol)

you walked 1.5 steps to the left  <--

then you walked 1.5 steps to the right -->

you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)

meaning the displacement is zero

that is why option B is correct

i really hope this isn't confusing and it helps!!!

The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.

Then the amount of the tinfoil will be

The surface area of the rectangle with an open lid is given as

Surface area = 2(LH + WH) + LW

Then the surface area of the tinfoil will be

Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9

Surface area = 2 (18 + 13.5) + 108

Surface area = 2 x 31.5 + 108

Surface area = 63 + 108

Surface area = 171 square inches

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Answer:

1 hour and 30 minutes

[tex]t = ch + td = fh[/tex]

where ch is current hour, td is time distance, and fh is final hour.

to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.

[tex]cm(45) - fm(15) = 30[/tex]

If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".

[tex]t = (cm - fm) + eh = 1:30[/tex]

The range, standard deviation, and variance say about gas prices in 2018 discussed below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

As the variance in 2018 is 0.0121.

A model with low variance means sampled data is close to where the model predicted it would be.

As the standard deviation in 2018 is 0.1098.

Low standard deviation means data are clustered around the mean

A small range means low variability in a distribution.

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Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem:

Hence, the equation is given as follows:

[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

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Answer:

  (b)  16^(3/2)

Step-by-step explanation:

Your calculator is a good source of information about the values of numerical expressions.

__

Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.

_____

Additional comment

Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:

  ∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4

  16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value

  √(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4

  ∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4

__

8= 2^3; 16 = 2^4; 64 = 2^6

(a^b)^c = a^(bc)

A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.