(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?
Answers
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
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Related Questions
Help would be much appreciated T^T
Answers
First; a reflection over the Y axis and the new points would be A(4,4) B(2,2) C(2,-1) D(4,1). (The Y value should be the same and the X axis should be the opposite)
Second; It should be moved three units down to get the points that A’ B’ C’ and D’ lie
I *think* they are congruent. I forgot what it exactly means, but they still have the same shape size and have all the same angles.
Hope this helps.
which one pls HELP PLSSSS
Answers
Answer:
Its the first one
Step-by-step explanation:
5(x+y)
-8x
Complete the steps to solve the equation.
1/5t + 2 - ____ = 17 - _____
1/5t=______
_____ * 1/5t =______
t=_______
Answers
blank 3: 17
blank 4: 5
blank 5: 5 (17)
blank 6: 85
The complete steps are;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or variable raised to the power one.
We have to given some steps of equation.
Now, The complete steps to solve the equation are;
1/5t + 2 - ____ = 17 - _____
Subtract 2 from both sides;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
Multiply 5 in both sides;
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
So, The complete steps are;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
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Complete the multiplication problems and order them from least to greatest according to their products. 6.5x2.5 0.6x2.5 6.0x2.5
Please help!!
God bless! :)
Answers
Answer:
Step-by-step explanation:
Answer:
1.5 15 6.25
Step-by-step explanation:
Which scale drawing of a triangle was created by using a scale factor of One-fourth, if the original right triangle has a height of 16 cm and a base length of 12 cm? (The figures below are not drawn to scale.)
A triangle with base 3 centimeters and height 4 centimeters.
A triangle with base 3 centimeters and height 2 centimeters.
A triangle with base 6 centimeters and height 8 centimeters.
A triangle with base 12 centimeters and height 9 centimeters.
Answers
Answer: The First on I believe
Which linear function has the steepest slope?
Answers
Answer:
What is it steepest slope?
Step-by-step explanation:
A few boats were traveling upstream and downstream. A satellite recorded the movements of several boats. A motor boat traveled -3.4 miles for every hour in 0.75 hours. How much progress?
Explain plsss
Answers
Answer:
-2.55
if it goes -3.4 miles per hour and it goes for 3/4 of an hour, then -3.4÷4= -0.85 and -0.85•3= -2.55
-3.4 x .75= -2.55
It made -2.55 miles in .75 of a mile or 45 minutes going at a speed of -3.4 mph
PLZ HELP I DIDN"T UNDERSTAND MY TEACHER PLZ HELP!!
Answers
Explanation is that the slope in answer B the 3 is at the 5
Answer:
A
Step-by-step explanation:
A is the only chart where 5 and 3 connect at an exact point
here is a meme( free of charge)
Write the relation as a set of ordered pairs.
A relation. An arrow goes from negative 2 to 4, 0 to 0, 2 to 4.
a.
ordered pairs: {(4, –2), (0, 0), (2, 4)}
b.
ordered pairs: {(–2, 4), (0, 0), (4, 2)}
c.
ordered pairs: {(–2, 4), (0, 0), (2, 4)}
d.
ordered pairs: {(4, –2), (0, 0), (4, 2)}
Please select the best answer from the choices provided
A
B
C
D
Answers
Negative 2 so it means -2
Then to 4 so
(-2,4)
Then 0 to 0. So
(-2,4), (0,0),
Then 2 to 4
So
{(-2,4),(0,0),(2,4)}
The ordered pairs are, (-2, 4), (0, 0), (2, 4).
Option C is true.
Here,
Given that;
In a relation an arrow goes from -2 to 4, 0 to 0, 2 to 4.
We have to find ordered pairs.
What is Ordered pairs in set?
A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x is in the set A and y is in the set B.
(x, y) is an ordered pair in f.
Where, for every x ∈ A there is exactly one y ∈ B.
Now,
In a relation an arrow goes from -2 to 4, 0 to 0, 2 to 4.
Hence, by definition of ordered pairs;
We get the ordered pairs,
(-2, 4)
(0, 0)
(2, 4)
Hence, The ordered pairs are, (-2, 4), (0, 0), (2, 4)
Option C is true.
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Jamie planted 16 tulip bulbs this weekend. This represents 40% of the bulbs she purchased. How many total bulbs did Jamie purchase?
TIMED! HURRY!
Answers
Answer:
40
Step-by-step explanation:
16 bulbs: 40%
32 bulbs: 80%
40 bulbs: 100%
I hope this is right
Answers
Answer:
Laverska untyska masctera A.)
Step-by-step explanation:
Unski :)
What is 45 x 78÷ 14 + 98
Answers
Answer:
Step-by-step explanation:
45*75=3510/14=250.71+98=348.7142857142857
can someone help me out :P
Answers
C
Step-by-step explanation:
(2/5 - 1/10) + 2^3 - 23/25
Answers
Answer:
the answer is 7.38
Step-by-step explanation:
Answer:
369/50 if your looking for fraction based if your not then its 7.38
Step-by-step explanation:
BRAINLIEST AND 20 POINTS PLZ HELP ASAP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)
Answers
Answer:
Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)
Step-by-step explanation:
He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°
It should be m∠m + m∠n + m∠o = 180°
Then only, he can equate it with m∠o + m∠p in step 3.
So, m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.
m∠o is the adjacent angle to m∠p. They form a linear pair.
Hence, the correct answer is Step 1.
Find the measure of the exterior angle.
Help please I don't know how I am supposed to start.
Answers
Answer:
Step-by-step explanation:
?
t + 10 + t + 20 + t = 180
3t + 30 = 180
3t = 150
t =50
Amira needs 24 and StartFraction 3 over 10 EndFraction feet of fencing material to make a fence for her small garden. Which number represents the additive inverse of this number?
Negative 24 and StartFraction 3 over 10 EndFraction
Negative 24
StartFraction 3 over 10 EndFraction
24 and StartFraction 3 over 10 EndFraction
Answers
Answer:-24 3/10
Step-by-step explanation:We have been given that Amira needs feet of fencing material to make a fence for her small garden. We are asked to find the additive inverse of our given number.
We know that additive inverse of a number is that number, which we add to a number to create the sum of zero.
(15 PTS) Help me plz.
Answers
Answer:
1.) C 2.) B 3.) B
Step-by-step explanation:
I had to do the same thing :)
What is the equation of this line? Please help I will give extra points and the brain thing.
y=−3x−4/3
y=4/3x−3
y=3/4x−3
y=−3x−3/4
Answers
Because the y intercept is -3 and the slope is rise 3 run 4 making it 3/4. It is a increasing line so it has a positive slope
hallllllllllllllllllllp
Answers
Answer:
first one is the multiplicitive property of equality, second one is 42/18, third is 63/3 = m/7, and the last one is 11.0 inches
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What was the change in temperature from when Tina left Atlanta and arrived in New York?
A
5°
B
6°
C
14°
D
15°
Answers
Explanation
72-21-11= 62
67-62= 5
WHat's the answer!! Help, has to be either B or D
Answers
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Definition: The ______ place is the place two to the left of the decimal point in a number.
Term:
WILL GIVE BRAINLIEST
Answers
Answer:
tens place
Step-by-step explanation:
Answer:
tenth place
Step-by-step explanation:
Please help me with this
Answers
Answer:
the first box is 7
the second box is 9
your friends does earn more money per hour
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
A. You earn $56 in 8 hours
To find hourly pay rate, you do
56/8=7
So $7 is your pay rate
B. Now your friend
He earns $36 in 4 hours
So divide 36/4=9
So $9 is his pay rate.
C. Since you earn $7 per hour and your friend earns $9 per hour, your friend earns more.
What is the slope of y=6x+2?
Answer: __________
Answers
Answer:
6
Step-by-step explanation:
Which statement correctly describes the expression (-70)(-6)?
A. Both factors are negative, so the product will be positive.
B. Both factors are negative, so the product will be negative.
C. One factor is positive and one factor is negative, so the product will be negative.
D. One factor is positive and one factor is negative, so the product will be positive.
Answers
Answer: the answer is letter A
Step-by-step explanation:
Identify which equations have one solution, infinitely many solutions, or no solution.
3/2x + 2.3 – 1/2x = 4.3 + x
2x + 2/3 = 2x + 4/5 – 4x
17/4 + 4.2y - 9/4 = 2.2y + 6 + 2y - 4
5r + 2 = 6r + 3 – r
-2x + 2 + 4x = 16/5 + 2x - 6/5
3.2p – 2.5 + 2.1p = 5p – 7/2
Answers
Answer:
1. have one solution
2. have many solutions
3. have one solution
4. have one solution
5.have no solution
6. have many solutions
sorry if I'm wrong
Different Signs or Same Signs? Sort the expressions.
Click each expression and pick the correct category.
25 + -14
3 + -7
-4 + -9
-18 + 33
-19 + -3
23 + 67
-9 + 4
5 + 3
Same sign, add and keep the sign
Different signs, subtract and keep sign of larger number
Answers
2)-4
3)-13
4)15
5)—22
6)90
7)-5
8)8
I DONT KNOW HELP PLEASE !!!
Explain how to find the fraction of the shop's T-shirts that are medium, blue, and on sale. Choose the correct answer below.
A.
Multiply the fraction of T-shirts that are blue by the fraction of the T-shirts that are on sale. Then, multiply the result by the fraction of the blue T-shirts that are on sale that are size medium.
B.
Add the fraction of T-shirts that are blue and the fraction of the T-shirts that are on sale. Then, multiply the result by the fraction of the blue T-shirts that are on sale that are size medium.
C.
Add the fraction of T-shirts that are blue and the fraction of the T-shirts that are on sale. Then, add the result to the fraction of the blue T-shirts that are on sale that are size medium.
D.
Multiply the fraction of T-shirts that are blue by the fraction of the T-shirts that are on sale. Then, add the result to the fraction of the blue T-shirts that are on sale that are size medium.
Answers
Answer:
I think its A. Multiply the fraction of T-shirts that are blue by the fraction of the T-shirts that are on sale. Then, multiply the result by the fraction of the blue T-shirts that are on sale that are size medium.
Step-by-step explanation:
If sally reads two books a month , how many moths will it take her to read 20 books?
Answers
Answer:
10 months
Step-by-step explanation: