what is the geometric mean of 12 and 47

Shape of the base: Rectangle,

Prism or Pyramid: Prism

How do you know: when the given information specifies that the shape of the base is a rectangle, it means that one base of the prism is in the shape of a rectangle. A rectangle is a type of quadrilateral with four right angles and opposite sides that are equal in length.

Name of the 3D Shape: Rectangular Prism

A prism is a type of 3D shape that has two parallel and congruent polygonal bases, and these bases are connected by rectangular faces that are perpendicular to the bases. The shape of the bases determines the overall shape of the prism.

So, when it is mentioned that the shape is a prism and the base is a rectangle, it means that the 3D shape being described has a rectangular base and the sides connecting the bases are perpendicular rectangles as well. This type of prism is called a rectangular prism, and it is a common shape used in many everyday objects, such as boxes, cuboids, and bricks.

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Let's redraw the traingle

if the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. ∆CBD ~ ∆ABC, ∆ACD ~ ∆ABC, and ∆CBD ~ ∆ACD.

This means that

Replacing

The answer is -7 (option A)

Steps are in the attachment.

_________

Hope it helps ✌

Answer: whole number

Step-by-step explanation:such as 9/1=9 6/1=6

The length of A'B' = 5 units

The line segment AB is of 5 units. AB is then transformed through translation of 3 units to the right.

The translation only means change through a straight line. This transformation does not change the length of a line segment.

So the length of A'B' will also be 5 units.

But the position of A'B' will be different from that of AB on the co-ordinate plane. To be exactly, A'B' would be 3 units right to the position of AB on the co-ordinate plane.

Also the co-ordinates of A'B' will be different. Still their lengths will be same.

Thus the length of A'B' = 5 units

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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True, whole numbers are closed under addition because Any two whole numbers added together result in a whole number. is a whole number as well.

The term "whole numbers" refers to numbers devoid of fractions, which are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are "0," "1, 2, 3,,","5,,"6,,"7,","8,"..." The whole numbers are 0 through 9, then 1, 2, 3, 4, 5, and so on. The set of numbers without fractions, decimals, and negative numbers is known as the "whole number." It consists entirely of positive numbers, even zero.

Given,

Whole numbers are closed under addition

Any two whole numbers added together result in a whole number. is a whole number as well. Therefore, the whole numbers cannot be added.

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The ship's loadline may be immersed by approximately 0.308 meters.

To determine the maximum allowable immersion of the ship's loadline, we need to calculate the change in displacement caused by the loading of cargo. The TPC (Tonnes Per Centimeter) value of 26 indicates that for each centimeter of immersion, the ship's displacement increases by 26 tonnes.

Given that the ship's load displacement is 18,000 tonnes, we can calculate the change in displacement as follows: 1.015 (DW) - 1.000 (lightship displacement) = 0.015. Multiplying this value by the TPC of 26 gives us 0.015 x 26 = 0.39 tonnes, which represents the increase in displacement due to the cargo loading.

Since the ship's loadline is a measure of the maximum permissible immersion, we divide the increase in displacement by the density of seawater to find the corresponding immersion in meters. The density of seawater is approximately 1 tonne per cubic meter. Therefore, the immersion would be 0.39 tonnes / 1 tonne per cubic meter = 0.39 meters.

However, to ensure that the ship is not overloaded, we need to subtract a safety margin. Depending on the specific regulations and safety factors applicable to the ship, this margin can vary. Let's assume a safety margin of 20% for this example. Subtracting 20% of the calculated immersion, we have 0.39 meters - (0.39 meters x 0.2) = 0.39 meters - 0.078 meters = 0.312 meters.

Therefore, the ship's loadline may be immersed by approximately 0.312 meters to ensure it is not overloaded.

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Answer:

\(V=108\ \text{inches}^3\)

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

\(V=\dfrac{lbh}{3}\)

Substitute all the values,

\(V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3\)

So, the volume of the rectangular pyramid is \(108\ \text{inches}^3\).

Answer:

$1.45

Step-by-step explanation:

Forty two point six tenth three hundredth eight thousandth

The depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.

To find the rate at which the depth of the water is changing, we can use related rates.

Given:
Height of the cone (h) = 8 meters
Base radius (r) = 26 meters
Rate of filling (dV/dt) = 12 m³/s
Radius of the top of the water (x) = 10 meters

First, we establish the relationship between the height and radius of the cone using similar triangles. The ratio of the height to the radius is constant, so we have h/r = 8/26.

Next, we differentiate both sides of the equation with respect to time (t) to find dh/dt in terms of dx/dt. This gives us (dh/dt)/(dr/dt) = 0.3077.

We can then substitute the given values into the equation: (dh/dt)/(dx/dt) = 0.3077. Rearranging the equation, we find that dx/dt = (dh/dt) / 0.3077.

To find the value of dh/dt, we can substitute the given rate of filling, dV/dt = 12 m³/s, into the equation. Solving for dh/dt, we get dh/dt = 3.693 m/s.

Finally, we substitute the values of dh/dt and 0.3077 into the equation to find dx/dt. This gives us dx/dt ≈ 0.39 m/s.

Therefore, the depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.

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Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

The remote interior angles of <5 are given as follows:

A. <2.

C. <1.

The remote interior angles of an exterior angle in a triangle are the angles that do not share a vertex with the given exterior angle.

The internal angles of the triangle in this problem are given as follows:

<1, <2 and <3.

Angle 3 shares a common vertex with the angle 5, hence it is not a remote interior angle.

The other interior angles, <1 and <2, do not share any vertex with <5, hence they are the remote interior angles.

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The number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

A random variable is a variable that can take on different values, depending on the outcome of a random event.

A discrete random variable is a random variable that can only take on certain values.

A continuous random variable, on the other hand, can take on any value within a given range.

The given number line has dots or points that represent the possible values that the random variable can take on.

The dots or points on the number line suggest that the random variable is discrete.

Therefore, the number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

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Answer:

D

Step-by-step explanation:

The value of x where there will be a vertical asymptote is when the denominator is 0 because that would be undefined. The value of x that makes the denominator 0 is x = 2.

Answer:

x = -4

Step-by-step explanation:

8x = 8 + 2(x-10) + 3x

simplify

8x = 8 + 2x - 20 + 3x

simplify again

8x = 5x - 12

subtract 5x from both sides

3x = -12

divide both sides by 4

x = -4

Answer:

As per the moment I cannot answer this due to know screenshot and lack of informatio

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{XY}{PQ}=\frac{YZ}{QR}\\\\\frac{19.5}{6.5}=\frac{10.5}{k}\\\\\)

Cross multiply,

19.5*k = 10.5 * 6.5

\(k =\frac{10.5*6.5}{19.5}\\\\k=3.5\)

The scale factor from the scale drawing to the actual triangle is; 1/3

The area of a triangle is calculated using the formula;

A = ¹/₂bh

Where;

A is area.

b is base.

h is height.

The two sides of the rectangle are 6 units and 3 units. Use the measurements in the formula. "u" is for units.

Thus;

A = ¹/₂(6)(3)  

A = 9 square units

The scale factor, represented by the variable "k", tells you how much a shape enlarged or reduced. If "k" is greater than 1, the shape enlarged. If "k" is greater than 0 and less than 1, the shape reduced

In this case, since the drawing is smaller than the actual triangle, the scale factor will be a fraction less than 1 and greater than 0.

The scale factor is used for side length. When it's used to find a side length, we use "k" multiplied by a side. Since the information we know is area, we find k² first, then isolate "k".

Divide the depicted triangle area by the actual area.

k² = 9 ÷ 81

k² = 1/9

√k² = √(1/9)

k = 1/3

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Answer:

P(-3) = -1

Step-by-step explanation:

So just substitute the value of x in the equation:

Value of x is (-3)

So:

P(x) = -2(1 - x)2 +5

P(-3) = -2(1-(-3)) 2 + 5

P(-3) = -2(4) 2 + 5

P(-3) = -8 + 2 + 5

P(-3) = -6 + 5

P(-3) = -1

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68  , 0.08b + 0.15c = 6.00    .

In the question ,

it is given that

the total amount paid by the customer at the print shop = $6.00

total number of copies that the customer made = 68

the cost for printing 1 black and white copy = $0.08

the cost of printing 1 color copy = $0.15

let the number of black and white copies be "b"

let the number of color copies be "c" .

So ,

b + c = 68  

and

the cost of b black and white copies is = 0.08b

the cost of c color copies is = 0.15c

the total cost = cost of b black and white copies + cost of c color copies

6.00 = 0.08b + 0.15c

0.08b + 0.15c = 6.00

Therefore , The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68  , 0.08b + 0.15c = 6.00   , the correct option is (d) .

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Answer: 18/27

Step-by-step explanation: 9 times 3 is 27. To multiply, you have to multiply both the top and the bottom to identify the final answer.

Answer:

the third step would be division.

hope this helps!

Step-by-step explanation:

The third step in simplifying the expression would be division.

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

3 + (9 - 5) 2 ÷ 8

=3+(4)2 ÷ 8

=3+8÷ 8

=3+1

=4.

Hence,  The third step in simplifying the expression would be division.

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Answer:

Step-by-step explanation:10 minutes 5 seconds per mile

6 minutes 15.93 seconds per kilometer

5.95 miles/hour

9.58 kilometers/hour

159.6 meters/minute

2.66 meters/second

Answer:

See below.

Step-by-step explanation:

7,824/10=782.4

782.4

 |

The 8 is in the tens place. It represents 80.

-hope it helps

Answer:

80

Step-by-step explanation:

7824÷10=782.4

Therfore the 8 is in the tens place meaning that the 8 in this is 80

Answer:

Step-by-step explanation:

Area = \(\frac{1}{2}* b * h + l * b + \frac{1}{2}*b*h\\ =\frac{1}{2}*8*2 + 7 * 8 + \frac{1}{2}*8*3\\= 8 + 56 + 12\\= 20 + 56\\= 76\)