(Apex 2.2.4 math 8) PLEASE I'M SO LOST
The entrance to an accessibility ramp is at ground level.
The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.
The second section of the ramp begins at the landing. It rises at a slope of
\frac{1}{18}
and covers another 9 feet of horizontal distance to reach the door.
Answer the questions to compare the sections of the ramp.
1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.
2. Is the steeper part of the ramp from the ground to the landing or the landing to the door? Explain how you decided which part of the ramp is a steeper.
3. Slope is equal to rise divided by run. If you know the horizontal distance (run) and the slope, how can you find the vertical distance (rise)?
4. What is the vertical distance (rise) from the landing to the door? Show your work.
5. What is the total height of the door above the ground?
Answer: 1.) The slope of the longer ramp is 1/12
2.) The longer ramp from the ground to the landing is steeper. 1/12 is steeper than 1/18. A graph of the slope shows this. See attachment.
3.) If you know the run, you can find the rise by multiplying the run by the slope.
4.) The rise from the landing to the door is 1/2 foot or 6 inches.
5.) The total height of the door above the ground is 2 ft or 24 inches.
Step-by-step explanation: Sometimes it helps to draw a sketch of the info given then make notes as you find solutions. (See in attachments)
1.) 1:5/18. Multiply by 2/2. It becomes 3/36. simplify to 1/12
4.) Multiplying 9ft by 1/18
It's the same as dividing 9÷18= 0.5 ft. OR 9 feet is 108 inches. 108÷18 = 6 inches
5.) Given height, ground to landing: 1.5 ft plus calculated 0.5ft = 2 ft.
OR 18 inches + 6 inches = 24 inches
The answers to questions comparing the sections of the Ramp are;
1) Slope = 1/2
2)The first section of the ramp is steeper because it has a greater slope.
3) Multiply the horizontal distance by the slope.
4) Vertical distance from landing to the door = 0.5 ft
5) Total height of the door above the ground = 2 ft
We are given that;
Height of landing above the ground = 1.5 ft
Horizontal distance of first section of ramp to landing = 18 ft
Horizontal distance of second section of ramp from landing to door = 9 ft
Slope of Second section of ramp = 1/18
I have attached an image showing the ramp alongside the given data;
With these given data, let's proceed to answer the question;
1) Slope is defined as ratio of change in vertical height to change in horizontal distance.From the attached image, we see that for the first section;
vertical height = 9 ft
horizontal distance = 18 ft
Thus, slope = 9/18 = 1/2
2) The slope for the first section is 1/2 = 0.5.The slope for the second section is 1/18 = 0.056
The slope of the first section is greater than that of the second
section and thus we will say the slope of the first section is steeper.
3) Let the vertical distance of the second section from the landing to the door be x.Now, since we know the horizontal distance for this second section as 9 ft and the slope as 1/18, then by proportion, to get the vertical distance (x), we will just multiply the horizontal distance by the slope.
4) Since the vertical distance from landing to the door is labelled as x, then from answer 3 above;x = 9 × (1/18)
x = 1/2 ft
x = 0.5 ft
5) Height of landing above the ground = 1.5 ftHeight from the landing to the door = 0.5 ft
Total distance from ground to the door = 1.5 + 0.5 = 2 ft
Read more at; https://brainly.com/question/8906330
I need help! Dilation with points on a grid!
Answer:
D'(-6,-4)
Step-by-step explanation:
When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:
Tommy knows that there are 2.54 centimeters in 1 inch. If his desk measures
35 inches long, which number sentence shows this proportion set up correctly
so that Tommy can solve it??
35/2.54 = x/1
2.54/1 = x/35
x/2.54 = 1/35
Answer:
2.54/1 = x/35
Step-by-step explanation:
2.54 cm per 1 inch = 2.54/1
35 inches total: x/35
2.54/1 = x/35
aaahahahhahahhahahahahhahah plz help me
Answer:
The answer is
[tex] \frac{3}{2} [/tex]
GOOD LESSONS ♡
Negative numbers are just like positive numbers, but they always have a factor of ___ built into them.
0
1
-1
Answer:
-1
Step-by-step explanation:
Please help me I will give out the brain thing and extra point, please. Image below
△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.
A. The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
B. The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
C. The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯
D. The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.
Answer:
C.) The slopes are equal
Step-by-step explanation:
Since both of the triangles are similar right triangles they have the same slope, in order for triangles to be similar, you must be able to make them look the same. In this case triangle, CDE is a down-scaled version of triangle ABC meaning if you just multiplay all the vertices by the same (and correct) number it will make a triangle the same as ABC, therefore the triangles have equal slopes.
plz help it makes no sense i have entered panic mode
Your friend incorrectly claims that 1/5 divided by 1/10 = 1/50. Find 1/5 divided by 1/10. Then describe what may have been your friend’s error.
Answer:
1/5 divided by 1/10 is 15. The friend's error was that they did not keep, change, and flip. They did 1 divided by 1 which equals 1, and then 5 divided by 10 which equals 50. This is what gave them 1/50.
what is 5 times 6 plus 8 divided by 3 time 6n<3 if n is 4
Answer:
I know an app its called math-way its really good for math
Step-by-step explanation:
Identify and verify the values of x and y that simultaneously satisfy the pair of equations
y = 2x + 6 and y = –4x – 6 by graphing. *
Answer:
y = 2x + 6 is slope 2 and y-intercept (0,6)
y = –4x – 6 is slope -4 and y- intercept (0,6)
Which statement correctly describes the expression (-25)(15)?
A. Both factors are negative, so the product will be negative.
B. One factor is positive and one factor is negative, so the product will be positive.
C. One factor is positive and one factor is negative, so the product will be negative.
D. Both factors are negative, so the product will be positive.
Answer:A this is your answer
Step-by-step explanation: hope this helps you
Answer:
The answer is C. One factor is positive and one factor is negative, so the product will be negative.
If Sara ran 34 km in 300 minutes, what was her speed in km/hr?
Answer:
6.8 km/hr
Step-by-step explanation:
If Sara ran 34 km in 300 minutes, then, in one hour, she would run
=> 34 : 300
=> ? : 60
=> 300 / 5 : 34 / 5
=> 60 : 6.8
So, if she travels 6.8 km in 60 minutes, her speed is 6.8 km/hr
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
What is the perimeter of rectangle that has a length of 8x - 12 and a width of 3x + 15?
tape diagrams help please
Answer:
w+1.3=2.7 i think
Step-by-step explanation:
A train moves at a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
Answer: 24
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (3, -3), slope = -1
Pls help me with this it's due tonight... T^T
Proportional or not?
Answer:
non proportional
Step-by-step explanation:
Answer:
non proportional
Step-by-step explanation:
proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Students can easily make mistakes when simplifying radicals, list 2 of these common mistakes, and explain how to fix these mistakes.
plz HELP! ASAP for both 9 and 10 plz
Answer:
domain: 0 - 10 range: 0 - 32
Step-by-step explanation:
Take the lowest x and the highest x and put them in set values to get domain.
lowest x = 0 and highest x = 10.
Take the lowest y and the highest y and put them in set values to get range.
lowest y = 0 and highest y = 32
Answer:
9. Distance from the bay (in yards), i.e, 0, 5 and 10 are the domain of the graph.
10-0=10
10. height of the golf ball (in yards), i.e, 15,32 and 0 are the range og the graph.
32 - 0 = 32
Order the expressions from least value to greatest value.
Answer:
[1] -2 2/3 + (-3 1/6) [2] -2.2*3.4 [3] 4.2/-6 [4] -3 3/5 - (-3 1/10)
Step-by-step explanation:
[1] = -5.91666
[2] = -7.48
[3] = -0.7
[4] = -0.5
can someone help me please.
Answer:
Yellow = 2/3(Blue)
Step-by-step explanation:
You only really need the first row of the table since it shows the volume of yellow to the volume of blue.
Before we write the equation we have to find the ratio and to do that we divide.
Divide the amount of yellow by the amount of blue:
3.5/ 5.25 = 0.666 = 2/3
now we can write the eqaution:
Yellow = 2/3(Blue)
Plz help quick ( I WILL MARK BRANILEST) also plz give an equation and a solution
Thank you
3.14x14=43.96
so therefore the answer is 43.96
Identify two factors that have a product of 9/10
Answer:
1/5 and 9/2. 3/5 and 3/2. 4.5/5 and 2/2.
Multiply either of those pairs together and you should get 9/10.
Use cross products to determine which pair of ratios are equivalent. i put the image of the answer choices
Answer:
c
Step-by-step explanation:
because
A health food store has 250 samples of a new snack to distribute. Customers are taking samples at a rate of 25 each hour. If the store has to keep at least 50 samples for display, which inequality could be used to represent h, the number of hours the samples will last?
A. 25h + 50 > 250
B. 250 - 25h ≥ 50
C. 250 + 25h > 50
D. 25h + 50 ≥ 250
Answer:
B would u like an explanation
Step-by-step explanation: Okay my explanation was that it says : A health food store has 250 samples of a new snack to distribute. Customers are taking samples at a rate of 25 each hour. If the store has to keep at least 50 samples for display, which inequality could be used to represent h, the number of hours the samples will last? what you do is take 250 and subtract 25 hrs from it its super simple and you get 50 so if they made 50 they candouble that to 10 and in 25 hrs only half of i will be gone so they will have 50 exxtra to feed the next se ofpeople
Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=1/6.
Step-by-step explanation:
y-b=m(x-a)
y--10=1/6(x--6)
y+10=1/6(x+6)
6y+60=1(x+6)
6y+60=1x+6
6y=1x-54
y=1/6x-54/6
y=1/6x-9
The equation of line is y= 1/6x - 9.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope= 1/6
and, passes through (−6,−10)
Now, using slope intercept form
y- a =m (x- b)
y - (-10)= 1/6(x -(-6))
y + 10= 1/6( x + 6)
y + 10 = 1/6x + 1
y= 1/6x - 9
Hence, the equation of line is y= 1/6x - 9.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
PLS!!!! HURRY!!!!!!!!!!!
In round 1 of a game s student loses 5 points loses 3 points gains 17 points and loses 7 points whats the student score at the end of round 1
Answer:
The students score at the end of round one is 2
Step-by-step explanation:
if you start at 0 points
0 - 5 = -5
-5 - 3 = -8
-8 + 17 = 9
9 - 7 = 2
I need help because im dumb part 2.
h e l p -
Answer:
first off u are not dumb and the answer is their are 3,00 feet in a yard an the next one is 91,44 and the last one is the same as the secent one
Step-by-step explanation:
x/3+10=15
And If You Would Like To Help Me Outside This App Please Let Me Know
I'm In The 8th Grade
Answer:
If you want to solve it here is the answer x = 15
Step-by-step explanation:
x/3+10 = 15
x/3+10-10 = 15-10 (what you do to 1 side you do to the other too)
x/3 = 5
x/3*3 = 5*3
x = 15
Answer:
its 5/3+10=15
Step-by-step explanation:
15/3=5