Find the missing dimension of the triangle.

Find The Missing Dimension Of The Triangle.

Answers

Answer 1

Answer:

4.66 or 14/3

Step-by-step explanation:

Area of a triangle is (base × height)/2. They have given you the height and the area already, so:

14 = ( b × 6 ) / 2

28 = b × 6

4.66 = b

Answer 2

The base of the triangle is B = 4.667 feet or 14/3 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is A = 14 feet²

Let the height of the triangle be H = 6 feet

Let the base of the triangle be B

And , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

14 = ( 1/2 ) x 6 x B

On simplifying the equation , we get

14 = 3B

Divide by 3 on both sides of the equation , we get

B = 14/3 feet

Therefore , the base of the triangle is B = 4.667 feet

Hence , the base of triangle is 4.667 feet

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Related Questions

Find the value of x in each pair of similar figures. Use proportions to solve.

Find the value of x in each pair of similar figures. Use proportions to solve.

Answers

Answer:

x=15

Step-by-step explanation:

3/5=9/x

English is the predominant language spoken in Chile. Question 1 options: True False

whoever answers first gets the crown

Answers

Answer: The answer is false!

Step-by-step explanation: You may think its true but NO, its not true!

Answer: false

Step-by-step explanation:

the correct answer is a dialect of spanish, chilean spanish.

Heather wants to form a triangle using a piece of wire that is 40 centimeters long. If Heather uses the entire piece of wire, which could be the side lengths of her triangle?

Heather wants to form a triangle using a piece of wire that is 40 centimeters long. If Heather uses the

Answers

Answer:Step-by-step explanation:

All.  They all add up to 40.

7 cm, 8 cm, 25 cm- u just add all the numbers and see which one adds up to 40

n ΔBCD,
m

B
=
(
5
x
+
14
)

m∠B=(5x+14)

,
m

C
=
(
x
+
19
)

m∠C=(x+19)

, and
m

D
=
(
2
x
+
19
)

m∠D=(2x+19)

. What is the value of
x
?
x?

Answers

Wt bro what is that 62542
I don’t know what the answer is.
Next time please write the question out better it is really hard to read.

HELP PLEASE I REALLY NEED HELP

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875
Hi how has your day been

PLEASE HELP!!!
2/7(9 + 2/3m + 7n)
Find the product.

Answers

Answer:

6/7 + 4/21m + 2n

Step-by-step explanation:

The expression 2/7 * (9 + 2/3m + 7n) can be simplified as follows:

Step 1: Simplify the expression inside the parentheses:

9 + 2/3m + 7n = 9 + (2/3)m + 7n

Step 2: Multiply the simplified expression inside the parentheses by 2/7:

2/7 * (9 + (2/3)m + 7n) = 2/7 * (9 + (2/3)m + 7n)

Step 3: Distribute the 2/7 to each term inside the parentheses:

2/7 * 9 + 2/7 * (2/3)m + 2/7 * 7n

Step 4: Simplify the expression by multiplying each term by 2/7:

(2/7) * 9 = 6/7

(2/7) * (2/3)m = 4/21m

(2/7) * 7n = 2n

Step 5: Combine like terms:

6/7 + 4/21m + 2n = 6/7 + 4/21m + 2n

The final result of the product is 6/7 + 4/21m + 2n.


We can use distributive property.

The question is 2/7(9+2/3m +7n)

Step 1: 2/7(9) + 2/7(2/3m) + 2/7(7n)

Step 2: 6/7 + 4/21m + 2n

Answer: 6/7 + 4/21m + 2n

LASTTT THINGGGGGGG STGGGGGGGGGGGGG

LASTTT THINGGGGGGG STGGGGGGGGGGGGG

Answers

1. Point B: (6,8)
2. Point D: (1,5)

The diameter, in miles, of a large asteroid called Vesta can be found using the expression 5w^(2) - (4y^(2) - z^(3)) - 56. Evaluate this expression for w=9 ,y=25, and z=5.

Answers

Answer:

-8156

Step-by-step explanation:

5x9=45 x 45 = 2025 - 4x25=100x100=10000 - 125 -56

The answer is -8156

how many paper cups are left at the end of the week

how many paper cups are left at the end of the week

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Please use statemnet reasoning!

Please use statemnet reasoning!

Answers

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

Triangle is congruent (NEW)

y = 2x + 3/2
y = -1/2x + 3
y = -2x + 3
y = 3x - 2

y = 2x + 3/2y = -1/2x + 3y = -2x + 3y = 3x - 2

Answers

y = -2x + 3

The Y intercept is positive 3

it goes down by 2 each square

Answer is y= -2x + 3

Explanation

Slope intercept form is y= mx + b

From the graph we see the y intercept is 3, it is the y axis where the line crosses

We can find slope by finding the change in rise (y) over the change in run (x)
Here we have -4 down and 2 to the right so -4/2 = -2 slope

Fill in these values

y = -2x + 3 is your answer
y = 2x + 3/2y = -1/2x + 3y = -2x + 3y = 3x - 2

PLEASE HELP I AM GIVING 100 POINTS FIRST COME FIRST SERVE ALSO GIVING BRAINLIEST TO THE FIRST PERSON WITH THE CORRECT ANSWER

PLEASE HELP I AM GIVING 100 POINTS FIRST COME FIRST SERVE ALSO GIVING BRAINLIEST TO THE FIRST PERSON

Answers

Answer:

A = plane

B = whale

C = sunken ship

Step-by-step explanation:

The given vertical number line is modelling the positions of objects and animals in relation to sea level.

Sea level is the average height of the surface of the world's oceans, which we use as a reference point to measure the elevation and depth of land and water features on Earth.

From inspection of the given number line:

Position A is above sea level.Position B is just below sea level.Position C is the furthest below sea level.

We have been told that a plane is flying at 8,500 feet above sea level. Therefore, as position A is the only position above sea level, A = plane.

We have been told that a sunken ship is resting at 3,000 feet below sea level, and that directly above the ship, a whale is swimming 1,960 feet below sea level. Therefore, the whale is above the ship. As position B is above position C, this means that B = whale and C = sunken ship.

A is plane b is whale c is sunken ship

I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT

I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based

Answers

Answer:  You should do a representation of how the heat and light waves reach humans on earth and keep us warm.

Step-by-step explanation:

all your answers are already in the task introduction.

1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)

2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.

3. Use yellow pipe cleaners for solar energy to represent radiation.

4. Rest is up to you for how you want it to look.

I don’t know none of this type of work

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

2,550

Step-by-step explanation:

What is the measure of ∠CEF?

A. 80 degrees
B. 90 degrees
C. 100 degrees
D. 110 degrees

What is the measure of CEF?A. 80 degreesB. 90 degreesC. 100 degreesD. 110 degrees

Answers

Answer:

D. 110

Step-by-step explanation:

30+40=70

180-70=110

Answer:

∠CEF = 110°

Step-by-step explanation:

ΔBED ,

∠BED +  ∠BDE + ∠DBE = 180 {Angle sum property}

∠BED + 40 + 30 = 180

∠BED + 70 = 180

∠BED = 180 -70

∠BED = 110°

∠CEF = ∠BED     {Vertically opposite angles}

∠CEF = 110°

Volume Notes & Practice - Please use a pencil. No typed work will be
accepted. Review the volume of a cylinder formula on page 3 of the lesson.
Several soft drink can sizes being considered by a soft drink company are shown below For each
can calculate its volume in cubic inches Usen 3.14
Option 1:
Radius=
2.5 inches
Volume:
Option 4:
Radius
1.5 inches
Volume:
Height-
6 inches
Height-
6 inches
Option 2
Radius-
1.5 inches
3
Volume:
Option S
Radius=
2 inches
Volume:
Height-
4 inches
Height-
4.5 inches
Option 3:
Radius
2 inches
Volume:
Option 6:
Radius=
2 inches
Volume:
Height
2.25 inches
Height-
6 inches

Answers

Answer:

Step-by-step explanation:

so first you multiply the radius times 3.5785738473847 which will give you 666 im in your walls  

\

The Volume of cylinder are as given elbow:

1. 117 in³

2. 21.195 in³

3. 28.26 in³

4. 42.39 in³

5. 50.24 in³

6. 75.36 in³

To calculate the volume of each can, we can use the formula for the volume of a cylinder:

Volume =πr²h

Using the given values, we can calculate the volume for each option:

Option 1:

Radius = 2.5 inches

Height = 6 inches

Volume = 3.14 x (2.5²) x 6 = 117 in³

Option 2:

Radius = 1.5 inches

Height = 3 inches

Volume = 3.14 x 1.5² x 3 = 21.195 in³

Option 3:

Radius = 2 inches

Height = 2.25 inches

Volume = 3.14 x 2² x 2.25 = 28.26 in³

Option 4:

Radius = 1.5 inches

Height = 6 inches

Volume = 3.14 x 1.5² x 6 =42.39 in³

Option 5:

Radius = 2 inches

Height = 4 inches

Volume = 3.14 x 2² x 4 = 50.24 in³

Option 6:

Radius = 2 inches

Height = 6 inches

Volume = 3.14 x 2² x 6 = 75.36 in³

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Simplify 6(x + 4) 10x 6x + 4 6x + 24

Answers

Answer:

=360x4+1440x3+24x+24

Step-by-step explanation:

6(x+4)(10)xx(6)x+(4)(6)x+24

=360x4+1440x3+(4)(6)x+24

=360x4+1440x3+24x+24

Hope it helps!!

Error Analysis: A store is instructed by corporate headquarters to put a markup of 67​% on all items. An item costing ​$6 is displayed by the store manager at a selling price of ​$4. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Part 1: The correct selling price is ​(Round to the nearest dollar as​ needed.)
Part 2: What was the​ manager's likely​ error?

A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.

Answers

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

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i need help with this question please help me

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

How can the area of this triangle be determined by forming a rectangle?

Select from the drop-down menus to correctly complete the statements.

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.

How can the area of this triangle be determined by forming a rectangle?Select from the drop-down menus

Answers

Answer:

Length of the rectangle = 5 units
Width of rectangle = 4 units

Area of rectangle = 20 units

Area of triangle = 10 units

Step-by-step explanation:

Since I don't know the answer choices, I am assuming the base of the triangle as the length and the height as the width. Check your answer choices and switch 4 and 5 if it is the other way around

Using the graph

The rectangle formed by rotating the triangle and placing it along the original rectangle will have a length(base)
= length of the base of the triangle
= 5 units

The width of the rectangle will be the same as the height of the rectangle = 4 units

The area = length x width = 5 x 4 = 20 units

Area of triangle = half area of rectangle = 20/2 = 10 units

Please help I need it now, asap it's due in 5 mins.

Please help I need it now, asap it's due in 5 mins.

Answers

Answer:

25

Step-by-step explanation:

\(105+3x=180 \\ \\ 3x=75 \\ \\ x=25\)

Answer:

The answer is 25 degrees

Step-by-step explanation:

If you subtract 180 - 105 then you get 75.
Then you divide it by 3.
One circle is 360 degrees thus half of it is 180.
If you know one angle is 105 degrees then subtract it from 180.
If the number is 3x then you have to divide it by 3 to get x alone.
Hope it helps! :)

What is the surface area of the square pyramid?
6 square meters
16 square meters
28 square meters
49 square meters

What is the surface area of the square pyramid?6 square meters16 square meters28 square meters49 square

Answers

Answer:

B. 16 square meters

Step-by-step explanation:

To find the surface area of a square pyramid use this equation: b² + 4(bh/2). b and h will be 2 & 3 respectively.

2² + 4((2 * 3)/2)

First, let's do the work inside the parentheses. We can cancel out the multiplication by 2 and the division by 2, so the right side (by that I mean to the right of the plus sign) just becomes 4(3).

2² + 4(3)

Now, multiply 4 by 3 to get 12.

2² + 12

Next, square 2 to get 4.

4 + 12

Lastly, add 4 and 12 to get 16.

16 m²

After doing the math, I can deduce that the area of this square pyramid is 16 m² (square meters), which is B.

PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK YOU YA'LL ARE LIFE SAVERS

PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK

Answers

Y= 26
Z=98

I’m bad at explaining so if you needed an explanation I’m sorry!!
Z=180-82=98
Because z and 82 angles are internal angles
And total of the two inner corners 180
Y =82+32 =114
Y=114 multiply 5=22.8

If a^x=pi, then what is a^{-x}? Answer in fraction form.

Answers

a^(-x) = 1/(pi^(1/x)) in fractional form.

1/a^x = 1/pi

Next, we can rewrite a^(-x) as 1/a^x and substitute the expression for 1/a^x from the above equation:

a^(-x) = 1/a^x = 1/(pi^(1/x))

The value of \(a^{-x}\) when \(a^x = \pi \ is\ 1/\pi\). To find the value of \(a^{-x}\) when \(a^x = \pi\), we can use the properties of exponents.

First, recall that a^(-x) is the reciprocal of \(a^x\). In other words, \(a^{-x} = 1 / a^x\).

Given that \(a^x = \pi\), we have:

\(a^{-x} = 1 / a^x\\a^{-x} = 1 / \pi\)

So, The value of \(a^{-x}\) when \(a^x = \pi \ is\ 1/\pi\).

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The graphs show the distances traveled by two cars moving at constant rates.

Drag to the table the unit rate that matches each graph.

The graphs show the distances traveled by two cars moving at constant rates.Drag to the table the unit

Answers

Answer:

doodey

Step-by-step explanation:

Sorry about the first answer use inspect code

semsee45 this is your question.
In the equation x = ky^2 + m/y + 4, when x = 18 and y = 2, and when x = -3 and y = 1, find x when y = 4.
TY :) !

Answers

Solution is in da attachment mate!! :D

semsee45 this is your question.In the equation x = ky^2 + m/y + 4, when x = 18 and y = 2, and when x
semsee45 this is your question.In the equation x = ky^2 + m/y + 4, when x = 18 and y = 2, and when x

12 - 3/4 (d + 16) = negative 5

Answers

Answer: d=20/3

Step By Step:

Step 1, Simplify:

12-3/4(d+16)=-5

(-3/4)d+(12-12)=-5

(-3/4)d=-5

Step 2, Multiply each side by 4/(-3)

(4/-3)*(-3/4)d=(4/-3)*-5

d=20/3

Answer:

\(\bold{d=\frac{20}{3} \ or \ 6.66666666667}\)

Explanation:

\(\bold{12-\frac{3}{4}\left(d+16\right)=-5}\)

[ Subtract 12 From Both Sides ]

\(\bold{12-\frac{3}{4}\left(d+16\right)-12=-5-12}\)

[ Simplify ]

\(\bold{-3\left(d+16\right)=-68}\)

[ Divide Both Sides By -3 ]

\(\bold{\frac{-3\left(d+16\right)}{-3}=\frac{-68}{-3}}\)

[ Simplify ]

\(\bold{d+16=\frac{68}{3}}\)

[ Subtract 16 From Both Sides ]

\(\bold{d+16-16=\frac{68}{3}-16}\)

[ Simplify ]

\(\bold{d=\frac{20}{3}}\)

Solve for x

3x+1=7x-17

Answers

Answer:x=4.5

Step-by-step explanation:

3x+1=7x-17

3x18=7x

18=4x

x=4.5

If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)

Answers

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

How did we arrive at this assertion?

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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