12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answers
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
Related Questions
Dylan and Tiffany each constructed a two-color spinner. Dylan spun his spinner 3 times and calculated that the
relative frequency of his spinner landing on blue (0.67) and on red (0.33). Tiffany spun her spinner 200 times
and calculated the relative probability of her spinner landing on blue (0.60) and on red (0.40).
How can Dylan's and Tiffany's calculations be used to evaluate the fairness of the two spinners?
Answers
Answer:
You can calculate the likeliness of the spinner landing on blue or red as the more spins you have the more accurate the results would be. In this case after 200 spins Tiffany calculated that the spinner landing on blue has a 60% chance while landing on red has a 40% chance. Therefore this might not be fair as there is a 60% chance landing on blue.
Step-by-step explanation:
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answers
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
whats the surface area?
Answers
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
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Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
Answers
Answer:
The answer is Graph F
Graph F is the answer because it says that every hour Juana spends reading books, she reads 0.25 hours reading magazines. This means that in 2 hours she's spent 0.5 hours reading magazines, and the data points continue in that order.
Answer:
f
Step-by-step explanation:
find the value of x
thank you in advance for your help!
Answers
Answer:
52
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Feel free to ask if you have any queries :)
Monique started walking, steadily increasing her speed. Next, she slowed down until she jogged at a constant speed. Which graph best shows monique’s speed over time? ( 2 images include the 4 graphs)
Answers
Answer:
A, rest are wrong
please help and explain how you got your answer
Answers
Answer:
B, C, D are the answers
Step-by-step explanation:
Cost of the item you multiply with amount
Write a division equation to show 100 ounces of soda divided equally among 12 people. How many ounces will each person have? Express the answer as a mixed number.
Answers
Answer:
100/12=8 1/3
Step-by-step explanation:
Hope this helps
The required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.
Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
There are 100 ounces of soda divided equally among 12 people.
According to the given information, the algebraic form would be as:
⇒ 100/12 = 25/3
Expressing the solution as a mixed number.
⇒ 100/12 = 8 1/3
Therefore, the required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.
To learn more about the Algebra link is given below.
brainly.com/question/953809
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9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answers
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Answers
Using the multiplication operation, the Number of ergs produced in \(1.55 \times 10^{7} \) is \( 6.045 \times 10^{40} \: ergs \)
Eggs produced per second = \(3.9 \times 10^{33} \) Number of seconds = \(1.55 \times 10^{7} \)Total number of ergs produced can be calculated thus :
Ergs per second × number of seconds\(3.9 \times 10^{33} \times 1.55 \times 10^{7} = 6.045 \times 10^{33+7} = 6.045 \times 10^{40} \: ergs \)
Therefore, the Number of ergs produced in \(1.55 \times 10^{7} \) is \( 6.045 \times 10^{40} \: ergs \)
B.)
Due to the very small measure of the diameter of the human hair, a measure of \(1.8 \times 10^{2} mm\) would be too large, Hence, the value \(1.8 \times 10^{-2} mm\) would be more appropriate
Learn more :https://brainly.com/question/18796573
PLEASE ANSWER ASAP: Miriam bought 64 pounds of popcorn she kept 1/4 for her family then gave 1/8 of the remainder to her club and distributed the rest equally among 8 friends. How many ounces did each friend get?
Answers
Answer:
84 ounces
Step-by-step explanation:
Total pounds of popcorn bought = 64 pounds
1/4th kept for family ==> 1/4 * 64 = 16 lbs
Remainder = 64-16 = 48 lbs
1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club
Remainder left over = 48-6 = 42 lbs
Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces
Since there are 16 ounces in a pound
From the given information each friend receives 84 ounces of popcorn.
Let's solve the problem using thee concept of Fractions
1. Miriam bought 64 pounds of popcorn.
2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is \(\(64 \times \frac{3}{4}\)\).
Now, let's calculate the popcorn remaining after Miriam keeps some for her family:
\(\(64 \times \frac{3}{4} = 48\)\) pounds.
Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with \(\(48 \times \frac{7}{8}\)\) pounds.
Now, let's calculate the popcorn remaining after Miriam gives some to her club:
\(\(48 \times \frac{7}{8} = 42\)\) pounds.
Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:
Amount each friend gets =\(\(\frac{42}{8}\)\) pounds.
The problem asks for the answer in ounces, not pounds.
To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:
Amount each friend gets = \(\(\frac{42}{8} \times 16\)\) ounces.
Amount each friend gets = \(\(84\)\) ounces.
So, each friend will get 84 ounces of popcorn.
In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.
To know more about Fractions here
https://brainly.com/question/29186998
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pleasse no wrong answers
Answers
Large Polygon 14 x21= 294
Little Polygon 2x(2x2) =8
294-8=286
please answer this very fast!!
Answers
Kay biked 10.58 miles on Thursday.
Answer:
10.575 miles
Step-by-step explanation:
We know that speed is the rate of distance per unit time,
speed = distance/time
The table gives us speed and time, and we need to find distance.
We solve the above equation for distance:
speed = distance/time
speed × time = distance
distance = speed × time
Now we the speed and time from Thursday found in the table to calculate the distance.
Thursday: speed of 11.75 mph and time of 0.9 hours.
distance = 11.75 miles/hour × 0.9 hours
distance = 10.575 miles
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
ASAP pls helps what is 1/2 x 1/4
Answers
Answer:
1/8
Step-by-step explanation:
1/2 × 1/4 = 1 × 1/2 × 4 = 1/8
Its 1/8
Hope this helps!!
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
Trolls will be reported
Answers
Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.
So basically the units are counting up by 5.
The x axis is age in years and y axis is the number of US states named in 60 seconds.
Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.
(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)
Step-by-step explanation:
Someone help me with this ASAP!
Answers
Answer:
48.1 somewhere around 36 and 57
Step-by-step explanation:
Answer:
36-57
Step-by-step explanation:
18.50 x 2.6 = 48.10, which is between those two numbers
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Write A story that could represent This problem 2/6 x 3/4
Answers
Answer:
Bob at the store
Step-by-step explanation:
Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.
Solve the inequality c – 5 ≥ 0.5 and graph the solutions.
Answers
Answer:
c ≥ 5.5
Step-by-step explanatation:
c - 5 ≥ 0.5
*Add 5 to the left and the right of the inequality symbol*
Which leaves you with, c ≥ 5.5
In this case, the 'c' is unknown when graphing because you don't know if it can be called x or y. So, you cannot plot this variable.
Aisha just accepted a job at a new company where she will make an annual salary of $53000. Aisha was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Aisha make as a salary after 6 years working for the company? What would be her salary after t years?
Answers
Answer:
83,000
Step-by-step explanation:
she would have 83,000 after 6 years
because
53,000 + ( 5,000 x 6)
5,000 x 3 is 30,000
53,000 + 30,000 is
83,000
unless you left out a peace of information tell me i would be happy to redo it :)
i did it first uwu lol
How to work it out
Salary after 6 year: $53,000+$5000x6= $83,000 Salary after t year $53000+$5,000 x t= $53,000+5000 t
What expression is equivalent to 2(y+4)+3(x+2x)?
Can someone provide step by step explanation also?
Answers
Answer:
9x+2y+8
Step-by-step explanation:
2(y+4)+3(x+2x)
Distribute:
=(2)(y)+(2)(4)+3(x+2x)
=2y+8+9x
Answer:
=9x+2y+8
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/3 in and a width of 1/4 in The actual tiles have a length of 1/4 ft and a width of 3/16 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.
Answers
Answer:
1:8 and 1:64
Step-by-step explanation:
(i think)
Answer:
The answer is...1/9 and then 1/81
Step-by-step explanation:
No prob
type your answers in to the table (basically replace the hostages with a number) and type a response (its all the way at the bottom)
Answers
HELLLLLLLLLLLLLLLPPPPPPPPPPPPPPP MMMMMMMMMMMMMMEEEEEEEEEEeee.....
Answers
I think the answer is 100%
Price in the sale:
15% of $420 is $63.
After the sale:
Price went up again by 15%, making it $420 again.
Answer:
100%? It is 100% of its original price because it is the same
Answer:
100%
Step-by-step explanation:
trust
Which story problem could be solved using the given equation?
Answers
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
Answers
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
https://brainly.com/question/1528681
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Answer:1 to 2
2 to 4
Step-by-step explanation:
f(x) = (1.93)x
What does the function represent?
Exponential growth of 7%
Exponential decay of 7%
Exponential growth of 93%
Exponential decay of 93%
Answers
Hope this helps !!
Answer:
C
Step-by-step explanation:
When the number in parenthesis is more than 1, it is growth. So, for example, (.55) would be decay, and in this case, (1.93) is growth.
HELPPPPPPPPPPPPP MEHHHH PLS!!!!!!!!!!!
Answers
Answer:
11 that if you apply the given numbers
TEN POINTS :)
This is probably very easy for some
HELP HELP HELP
3,4,5
Please mind my bad handwriting lol
Answers
10 is the second one
7 is the last one
give brainliest if possible;)
10 for the second
7 for the 3rd