A board is leaning against a building so
that the top of the board reaches a
height of 18 feet. The bottom of the
board is on the ground 4 feet away from
the wall. What is the slope of the board
as a positive number?​

Answers

Answer 1
Final answer:

The slope of a line is given by rise over run. The slope of the board leaning against the building is 4.5; given by the height it reaches (18 feet) divided by the distance from the base of the building to the base of the board (4 feet).

Explanation:

The subject of your question is the slope of a line in a mathematical context, specifically when dealing with the Algebra of Straight Lines. First, let's recall what slope is. The slope of a line, commonly represented as m, is the measure of the vertical change (rise) for each unit of horizontal change (run).

To find the slope of the board leaning against the building, we can take the rise over the run. Here, the rise is the height of the building which the board reaches - 18 feet. The run is the distance from the building to the board's base on the ground - 4 feet. Hence, the slope m of the board would be calculated as follows: m = rise/run = 18/4 = 4.5.

A positive slope indicates that the line rises from left to right, like the board leaning against the building. So, the slope of the board as a positive number is 4.5.

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Related Questions

what’s negative 2 over 5 as a decimal

Answers

Answer:

-0.4 if  the numerator is -2 and -2.5 if the numerator is 5

Step-by-step explanation:

F(x) is an even function and f(-6) = 8. If g(x) = 4f(x+2)-1, then which of the following is the value
of g(4)?

Answers

Plz specify problem clearer

The value of function g (4) will be 31.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

F(x) is an even function.

So, F(-x) = F(x)

And, f(-6) = 8

Now,

The function is,

g(x) = 4 f(x+2) - 1

Find the value of g(4), substitute x = 4 in above equation as;

⇒ g (4) = 4 f(4 + 2) - 1

⇒ g (4) = 4 f (6) - 1

Since, F(x) is an even function.

So, F(-8) = F(8)

Hence, We get;

⇒ g (4) = 4 × 8 - 1

⇒ g (4) = 32 - 1

⇒ g (4) = 31

Thus, The value of function g (4) will be 31.

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Convert each degrees minutes seconds into decimal degrees
351°41’142”

Answers

Answer:

351.7227778°

Step-by-step explanation:

Final answer:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

Explanation:

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

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What is the number between 0.5 and 1.0

Answers

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

0.5 < x < 1

Answer:

It could be 0.5, 0.6, 0.7, 0.8, 0.9 depending if it is in the tenths

1 Round the number 5.014937 to the nearest hundredth.

Answers

Your answer would be 5.01 because to round to the hundredths means two decimal points meaning 5.014. The 4 is not more than 5 so it wouldn’t make the 1 move up. So it stays 5.01.

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
A y = negative three-fourths x minus 3
B y = negative three-fourths x minus 6
C y = negative 3 x minus three-fourths
D y = negative 6 x minus three-fourths

Answers

Option A

The equation of line is [tex]y = \frac{-3}{4}x - 3[/tex]

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

[tex]slope = \frac{-3}{4}[/tex]

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and [tex]m = \frac{-3}{4}[/tex] in eqn 1

[tex]-6 = \frac{-3}{4} \times 4 + c\\\\-6 = -3 + c\\\\c = -6 + 3\\\\c = -3[/tex]

The required equation of line is given as:

[tex]\text{ Substitute } m = \frac{-3}{4} \text{ and } c = -3 \text{ in eqn 1 }[/tex]

[tex]y = \frac{-3}{4}x - 3[/tex]

Thus the equation of line is found

Answer:

the answer is A

Step-by-step explanation:

Hope this helps!

What is the steps for solving 3x-10=84 and tell me what x equals

Answers

Answer:

31 1/3

Step-by-step explanation:

3x-10=84, given

3x=94, add 10 to both sides

x = 31 1/3, divide both by three

Answer:

3x = 84+10

3x = 94

x = 94/3

x = 31.33

20 points
Write as a power of a binomial.
[tex]125m^{2} -15m^2+\frac{3}{5} m-\frac{1}{125}[/tex]

Answers

Answer:

[tex](5m - \frac{1}{5})^{3}[/tex]

Step-by-step explanation:

We have to write the following expression as a power of a binomial.

The expression is [tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex].

Now, we have to rearrange the given expression.

[tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex]

= [tex](5m)^{3} - 3(5m)^{2}(\frac{1}{5}) + 3(5m)(\frac{1}{5})^{2} - (\frac{1}{5})^{3}[/tex]

= [tex](5m - \frac{1}{5})^{3}[/tex] (Answer)

Since we know the identity as (a - b)³  = a³ - 3a²b + 3ab² - b³.

5x-3y=-12 in slope-intercept form

Answers

Answer:

y = 5/3x + 4

Step-by-step explanation:

First subtract 5x from both sides

-3y = -5x - 12

Then divide -3 from both sides

y = 5/3x + 4

If you need to go further

y = 1 2/3x + 4

Answer

Y=x\3

Step-by-step explanation:

Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Answers

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

Twenty one hundredth as a common fraction

Answers

Answer:

21/100

Step-by-step explanation:

Select all of the quotients that have the same value as 5.04 divided by 7

1. 5.04 divided by 70
2. 50.4 divided by 70
3. 504,000 divided by 700
4. 504,000 divided by 700,000

Answers

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

Complete the sentences to make true statements.
6 is 100 times

Answers

Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

how man inches in a foot

Answers

Answer:

12

Step-by-step explanation:

derive sina
[tex]derive \: (sin(cos ^{2} x)) \: [/tex]

Answers

Answer:

the derivative of given function is

[tex]cos(cos^2 x )(-sin 2 x)[/tex]

Step-by-step explanation:

Step :-

using chain rule formula [tex]\frac{d y}{d x} = \frac{d y}{d u} X\frac{d u}{d x}[/tex]

let [tex]Y = sin(cos^2 x)[/tex]  ...........(1)

[tex]\frac{d(sin x)}{d x} = cos x[/tex]

Differentiating equation (1) with respective to x,we get

[tex]\frac{d y}{d x} = cos(cos^2 x) \frac{d}{d x} (cos^2 x)[/tex]........(2)

we will use again formula

[tex]\frac{d(cos x)}{d x} = -sin x[/tex]

[tex]\frac{d (x^{2} )}{d x} =2 x[/tex]

From (2) equation we will get solution is

[tex]\frac{d y}{d x} = cos (cos^2 x) (2 cos x (\frac{d(cos x)}{dx} )[/tex]  ........(3)

again simplification the equation (3) we will get

[tex]\frac{d y}{d x} = cos(cos^2 x)(2 cos x(-sin x))[/tex] ........(4)

by using trigonometry formula

[tex]2 sin x cos x = sin2x[/tex]

now the equation (4) we get final solution is

[tex]\frac{d y}{d x} = cos(cos^2 x)(- sin2x)[/tex]

Mariah took 76 pictures on vacation.Her sister took 29 more pictures than she did.How many pictures did Mariah’s sister take

Answers

Answer:

105

Step-by-step explanation:

29 more than 76 can be written as:

76 + 29, which equals 105

The movie theater received $1,245 for tickets they sold on Monday. The theater received $955 for tickets sold on Tuesday. Each ticket cost $5.

How many more tickets did the theater sell on Monday than on Tuesday?

Answers

The answer should be $290 in total.

Answer:

Step-by-step explanation:you just add 1,245 plus 955 then you divide by 5 and get 440

The Ortega family made 15/16 pound of confetti for the Annual fiesta celebration in San Antonio they use 1/4 pound to make field eggs how much confetti is left next year

Answers

Final answer:

The Ortega family has 11/16 pound of confetti left for next year's fiesta after using 1/4 pound this year.

Explanation:

The Ortega family started with 15/16 pound of confetti for the celebration. They used 1/4 pound of confetti for the fiesta eggs. To find out how much confetti they have left, we need to subtract the amount used from the total amount they made.

To subtract these fractions, they need to have the same denominator. The fractions already have the same denominator here, which makes it simpler. So, we subtract 1/4 from 15/16:

Convert 1/4 into 4/16 (so both fractions have the same denominator)Subtract 4/16 from 15/1615/16 minus 4/16 equals 11/16

Therefore, the Ortega family has 11/16 pound of confetti left for the next year's celebration.

The sum of 9 times a number and 5 equals 7.

Answers

Answer:

9x+5=7

9x=2

x=2/9

Which of the following units can be used to measure area?
inches
square centimeters
meters
square yards
cubic feet

Answers

Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

A man is parasailing above a lake at an angle of elevation of 32° from a boat. If 129.5 meters of line connects the boat to the parasail, how many meters above the lake is the man to the nearest tenth of a meter? A) 68.6 m B) 80.9 m C) 109.8 m D) 152.7 m

Answers

Answer:

The correct  answer is  option A) 68.6 m

Step-by-step explanation:

Given:

The angle of elevation from the boat  = 32 degrees

Length of the cable that connects the boat and the man = 129.5 meters

To Find:

How many meters above the lake is the man to the nearest tenth of a meter = ?

Solution:

Let the  height of the man from the Lake be H.

then H can be found using the sine formula of the right tringle

where

[tex]sin( angle) = \frac{opposite}{hypotenuse}[/tex]

In the figure below

the hypotenuse is the cable length, H is the opposite side

and angle is the angle of elevation:

The substituting the values

[tex]sin(32^{\circ}) = \frac{H}{129.5}[/tex]

[tex]H = 129.5 \times sin(32)[/tex]

[tex]H = 0.5299 \times 129.5\\[/tex]

H = 68.624

H= 68.6

Answer:

68.6m

Step-by-step explanation:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like. The teacher is interested in knowing what the median of the scores is on the exam as well as how spread out the scores are. Which type of graph is the most appropriate?
A.bar graph

B.line graph

C.box-and-whisker plot

D.circle graph

Answers

Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

The most appropriate graph is box-and-whisker plot.

What is box-and-whisker plot?

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median.

Given:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like.

As, we know the teacher wants to know median of the scores is on the exam as well as how spread out the scores are.

To find the median from the graph the best graph is  box-and-whisker plot because it shows the quartile and median very accurate.

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(05.07 MC)
The correlation coefficient for poor hearing and loud music in a group of people is 0.67 Analyze the following statement:
Poor hearing is caused by listening to loud music.
Is this a reasonable conclusion?

Answers

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Concha está elaborando vestidos, si ha elaborado 2/3 de 6 vestidos. Cuantas fracciones de vestidos le faltan por elaborar? ¿Cuantos vestidos a helaborado ya?

Answers

For this case we have the following statement:

Concha is making dresses, if she has made 2/3 of 6 dresses. How many fractions of dresses does she have left to finish? How many dresses have you already made?

If Concha has made [tex]\frac {2} {3}[/tex] of 6 dresses we have:

[tex]\frac {2} {3} * 6 = \frac {6 * 2} {3} = \frac {12} {3} = 4[/tex]

So we have to:

[tex]\frac {3} {3} - \frac {2} {3} = \frac {1} {3}\\6 * \frac {1} {3} = 2[/tex]

Thus, Concha must make 2 dresses to complete all 6. This represents[tex]\frac {1} {3}.[/tex]

Answer:

Concha has made 4 dresses and must make 2 to complete the 6 dresses.

хр + ур = z
Solve for p

Answers

Answer:

p = z / (x+y)

Step-by-step explanation:

хр + ур = z  (factorize p on the left side)

p(x+y) = z  (divide both sides by (x+y)  )

p = z / (x+y)

Answer:

p=z/(x+y)

Step-by-step explanation:

xp+yp=z

p(x+y)=z

p=z/(x+y)

A student is conducting a probability experiment and wants to know the total number of outcomes for the experiment. The student’s experiment is comprised of three events:
 rolling a six-sided number cube
 flipping a coin
 rolling a six-sided number cube again.
How many outcomes are possible in this experiment?

Answers

Final answer:

There are 72 possible outcomes in the experiment.

Explanation:

The total number of outcomes for the experiment can be found by multiplying the number of outcomes for each event.

For the first event, rolling a six-sided number cube, there are 6 possible outcomes (numbers 1 to 6).

For the second event, flipping a coin, there are 2 possible outcomes (heads or tails).

For the third event, rolling a six-sided number cube again, there are 6 possible outcomes.

To find the total number of outcomes, multiply the number of outcomes for each event: 6 x 2 x 6 = 72.

Therefore, there are 72 possible outcomes in this experiment.

As a point moves in the positive x-direction along the line graphed, what is the rate of change of y with respect to x?
A.4/3
B.3/4
C.-4/3
D.-3/4

Answers

Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use [tex]\frac{RISE}{RUN}[/tex] .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

Can anyone help with 20-22?

Answers

Answer:

zx would equal 19 as well

wt=4.5

wy=19

Step-by-step explanation:

this is easy speacily since i am in 8th grade lol

What does the point (4,60) represent in go math books page 131 about bicyclist traveling

Answers

Final answer:

The point (4,60) on a graph in the context of a bicyclist traveling likely represents that the bicyclist traveled a distance of 60 units in a time of 4 units, where the exact units would depend on the graph's axes' labels.

Explanation:

In go math books page 131, the point (4,60) typically represents a point on a graph or chart. In the context of a bicyclist traveling, the two numbers in the point likely stand for two different values or measurements. The first number '4' could represent time elapsed (for example, 4 hours or 4 minutes) and the second number '60' could possibly represent the corresponding distance traveled by the bicyclist (for example, 60 miles or 60 meters). Therefore, the point (4,60) could mean that the bicyclist traveled a distance of 60 units in a time of 4 units. The exact meanings of '4' and '60' would depend on the labels of the x-axis and y-axis of the graph.

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Final answer:

The point (4,60) likely represents that after 4 units of time, the bicyclist has traveled 60 units of distance. This is typically used to interpret motion on a distance-time graph in kinematics, which is a branch of physics.

Explanation:

In the context of a Go Math book, the point (4,60) on a graph usually represents two distinct pieces of information about an event or a scenario. For instance, if we're considering the motion of a bicyclist, the point (4,60) might represent that after 4 units of time (such as 4 minutes or 4 hours), the bicyclist has traveled 60 units of distance (such as 60 meters or 60 miles). However, without the specific context or the content of page 131, it's challenging to determine the exact meaning of the point.

In Figure 24.7, which describes the motion of a motorist, time is on the y-axis and distance on the x-axis, which is a common convention for distance-time graphs in motion problems. Therefore, if (4,60) were a point on such a graph, 4 would likely represent the time elapsed and 60 the distance traveled.

Understanding points on these graphs helps students to visualize and interpret different aspects of motion, such as speed, displacement, and acceleration, contributing greatly to their grasp of kinematics of physics

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There are 45 people waiting in line to ride the carousel. If the carousel can hold 40 people, how many people will have to wait for the next ride?

Answers

Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

Final answer:

There are 45 people wanting to ride the carousel, but since it can hold only 40 people, 5 people will have to wait for the next ride.

Explanation:

This is a simple arithmetic problem. There are 45 people waiting in line and the carousel can hold 40 people. To find out how many people will need to wait for the next ride, we subtract the number of people the carousel can hold from the number of people waiting in line:

Start with the number of people waiting in line: 45 peopleSubtract the number that the carousel can hold: 45 - 40 = 5

So, 5 people will need to wait for the next ride.

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