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 1

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

21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm

Answers

Answer: gradpoint “b”

Step-by-step explanation:

Consider the equations of the two lines below:
Line A:
y=-3x - 7
Line B: y = x - 4
Are the lines Parallel, Perpendicular or Neither? Explain.

Answers

Answer:

Neither, they have a solution

Step-by-step explanation:

Use a sheet of graphing paper and graph the equation using the y-intercept and slope.

circumference in terms of pi does anyone know this?

Answers

Answer:

15 pi

Step-by-step explanation:

Answer:

15π cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= d* π

We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d

c= 15 cm * π

Since we are told to find the circumference in terms of pi, the answer is left as:

c= 15*π  cm

c= 15π cm

Which is the most efficient way to solve this equation?
8=48


Add 8
8 to both sides of the equation.


Divide both sides of the equation by 48



Divide both sides of the equation by 8


Nothing. The equation is already solved




Don't guess please :(

Answers

Divide both sides of the equation by 8

a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?

Answers

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

Answer:

4m

Step-by-step explanation:

1/5 of 20

Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°

b. it has no reflectional symmetry

c. it has reflectional symmetry with two lines of symmetry

d. it does not have symmetry point​

Answers

Answer:

a. it has rotational symmetry with an angle of rotation of 90°

Step-by-step explanation:

The sum of 2 times a number and 7 is equal to 6

Answers

Answer:

2x+7 = 6

x = -1/2

Step-by-step explanation:

Answer:

2x+7=6

Step-by-step explanation:


6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F​

Answers

Answer:

200°F

Step-by-step explanation:

165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.

Answer:

The answer might be B. I hope this helps please tell me if right or wrong.

Step-by-step explanation:

What is the vertex of the quadratic function below?
y = 3x2 - 12x+17

Answers

Answer:

D (2, 5)

Step-by-step explanation:

To find the vertex of the quadratic function , we will follow the steps below

(x,y) =  [-b/2a  , f(-b/2a)]

x = -b /2a         y = f(-b/2a)

The standard equation of a quadratic equation is  y =ax² + bx + c

compare the above with the equation given, y = 3x² - 12x + 17

a = 3   b= -12   and c= 17

x = -b/2a

x = -(-12)/2(3)

x = 12/6

x = 2

y = f(-b/2a)

y = f (-b/2a) = f(x) = f (2)

y = f(x) =3x² - 12x + 17

To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;

f(2) = 3(2)² - 12(2) + 17

f(2) =12-24 + 17

f(2) =5

x = 2   and    y  = 5

(x,y)  = (2, 5)

There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?

Answers

Answer:

5/12

Step-by-step explanation:

If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.

Answer:

5 to 12

Step-by-step explanation:

Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.

Hope this helped!

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

$2.10

Step-by-step explanation:

5 beads + 5 pendants cost $19.50

beads cost $1.80 per necklace

5 beads cost 5 * $1.80 = $9.00

cost of 5 pendants = $19.50 - $9.00 = $10.50

cost of 1 pendant = $10.50/5 = $2.10

Answer:

$2.10

Step-by-step explanation:

For each necklace, the price of the beads totaled up to $1.80. Since there were 5 necklaces, the total price for all of the beads is $9.

5 × 1.80 = 9

The total cost of all materials is $19.50.  Since we are trying to find the cost of the pendants, subtract the cost of the beads by the total price.

19.50 - 9 = 10.50

Since you are trying to find the cost of each pendant, divide the costs of all the pendants by 5.  You are dividing by five because there is one pendant for on necklace.

10.5/5 = 2.10

The cost of a single pendant is $2.10.

1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit

Answers

Answer: 181.46 square inches

Step-by-step explanation:

Area = pi ˣ r squared

Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.

If 153=2(z+z)n, then what’s is the value of 4nz+20

Answers

Answer: (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Help. I’m new to learning functions like this

Answers

Answer:

Please I can't see it it clearly

Please make it a little more clear on what the question is asking

Use the graph to find the solution to this system of linear equations.

Answers

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

Answer please need help and is struggling

Answers

The answer is D (last one)

What is the probability of picking an orange marble and flipping tails?

Answers

Answer:

D

Step-by-step explanation:

The probability of orange marble is [tex]\frac{1}{7}[/tex]

Probability of tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}*\frac{1}{7}=\frac{1}{14}[/tex]

What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)

B:(0, 5/3)

C:(0,-2/5)

D:(0,3/5)

E:(0, -2/3)

Answers

Answer:

E

Step-by-step explanation:

The answer is E Because I just answer the question

what is the minimum please answerrr

Answers

Answer:

(0,1) should be the anwser your looking for

(0, 1) is the minimum! it’s the least/lowest point of the graph

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?

Answers

2.5 bags of rice are worth one fish

Answer:

One fish can be traded for 2 2/3 bags of rice.

Step-by-step explanation:

Key:

F = One fish

L = Loaf of bread

R = Bag of rice

So, with that set we see that:

3F = 2L & L = 4R

2L for 2 x 4 = 8R

So,

3F = 8R OR 3:8 OR 8/3

8/3 = 2 2/3, which is the answer.

Find the equation of the line.
Use exact numbers
y=___ x+____

Answers

Answer:

y=x-5

Step-by-step explanation:

transformations from parent function:

down 5 units

Answer:

y=x-5

Step-by-step explanation:

slope=rise/run=5/5=1

y -intercept=-5

y=x-5

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)

Answers

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)

What is the degree measure of arc HG?

Answers

Answer:

arc HG = 40°

Step-by-step explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

What’s the factor for x2 - 1.44

Answers

Answer:

Step-by-step explanation:

(5x + 6) • (5x - 6)

—————————

25

8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet​

Answers

Answer:

I think the answer would be 79200 feet as 1 miles = 5280 feet

traductor de español

¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas

Respuesta: 79.200.

Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200

Prueba: 5280

        x 15

___________

         79200

__________________________________

English Translator

Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles

Answer: 79200

Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200

Proof: 5280

        x      15

___________

         79200

find the product of -8 (-12)​

Answers

The answer is 96.

-8 ( -12 ) = 96

Negative times negative equals positive

Answer:

-8(-12) = 96

Step-by-step explanation:

The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.

Divide 24.71/13 to 3 decimal place

Answers

Step-by-step explanation:

1.901

hope this helps.

Answer:

1.900769231

In three decimal places is 1.901

Step-by-step explanation:

HAVE A GOOD DAY!

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 4 hours a day.

Answers

Answer:

it would take 8 days

Step-by-step explanation:

all all you have to do is divide 33.45 divided by 4

Answer:

4hrs =33hrs and 45/60

1 day= about 8 days and 1/2

Step-by-step explanation:

The applicants for a soccer coaching position were asked how many years of
coaching experience they had. Here are the results:
1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10
On a piece of paper, draw a dot plot to represent the data. Then determine
which answer choice matches the dot plot you drew.

Answers

The 10 years experience applicant.

What is a dot plot?

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

The applicants for a soccer coaching position were asked how many years of coaching experience they had. Here are the results:

1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10

Thus the 10 years experience applicant.

To know more about dot plot click here

https://brainly.com/question/22746300

#SPJ2

If p ( x,y) is the point on the unit circle determined by real number 0, then tan 0 =___

Answers

Step-by-step explanation:

please make me brainlest

THANK U

Answer:y/x

Step-by-step explanation:

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