Every tread of a staircase is 8 in.​ deep, and every riser is 6 in. high. How would you find the angle the staircase makes with the​ floor? Explain.

Answers

Answer 1

Answer:

  36.9°

Step-by-step explanation:

You want to know the pitch angle of a staircase with a riser height of 6 inches and a tread depth of 8 inches.

Tangent

The tangent of an angle is the ratio of the side opposite to the side adjacent:

  Tan = Opposite/Adjacent

Application

The tangent of the staircase angle to the floor will be the ratio of the riser height to the tread depth:

  tan(α) = (6 in)/(8 in) = 3/4

The angle is found using the inverse tangent function.

  α = arctan(3/4) ≈ 36.9°

__

Additional comment

You need to be a little bit careful here. Different authors define "tread depth" differently. For the purpose of this question, it must be defined as the horizontal distance between corresponding points on adjacent treads, as shown in the attached illustration.

Some authors define tread depth as the distance from the nosing to the riser. If that definition is used, the "run" of the step will be the tread depth less the nosing depth. The pitch angle will be the arctangent of the ratio of riser height to "run".

The tread depth of 8 inches is a little too narrow to be in compliance with some building codes. A more usual minimum is about 10 inches with a riser height of 7 1/2 inches.

Every Tread Of A Staircase Is 8 In. Deep, And Every Riser Is 6 In. High. How Would You Find The Angle
Answer 2

Answer:

0.75 tangent 0.75

Step-by-step explanation:


Related Questions

Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Answers

Answer:

5

Step-by-step explanation:

I just did it

Hassan plans to repaint some classroom bookcases. He has 1010 gallons of paint. All of the bookcases are the same size and each requires \tfrac{7}{8}
8
7

gallon of paint. What is the maximum number of complete bookcases he can paint?

Answers

Hassan can paint maximum 11 bookcases with 10 gallons of paint.

What are Fractions?

A fraction represents a numerical value, which defines the parts of a whole.

Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction.

Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.

Given,

Hassan has 10 gallons of paints.

1 bookcase requires 7/8 gallons of paint

Let Hassan paints x bookcases.

According to the question

7/8x = 10

7x = 80

x = 80/7

x = 11.43

But no. of bookcases should be in whole.

Number of bookcases painted with 10 gallons of paint = 11.

Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint

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Point E is located at -12 on the number line.Point F is located at point 9 on the number line. What is the distance between Point F on the number line?

Answers

Answer:

21 points

Step-by-step explanation:

Point E is located at -12  that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.

So the total distance will be 12+9= 21 points between the two locations Point E and Point F.

We add the total difference from the point zero to get the total distance between the two points.

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

-4096
2048
4096
-2048

Answers

Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096

Solution: -4096

Answer: -4096

Step-by-step explanation:

I just did the lesson


David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank
will be 4 inches longer, 3 inches wider, and 6 inches higher. What will be the volume of his new tank?

Answers

Answer:

It should be 14400 square inches. Sorry if i'm wrong

How do you explain 2 3?

Answers

This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.

What is coordinate system?

The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.

In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.

How do we explain 2 3?

We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.

So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.

In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.

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Complete question is: In the point (2,3) which point denotes the y-coordinate.

is this a right triangle 8,12,15

Answers

Answer:

I don't think so

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

a cylinder has a volume of 400 ft if the height of the cylinder is 25 ft what is the radius of the cylinder

Answers

Answer:

r = 2.25733059

round to whatever place your teacher wants.

Step-by-step explanation:

The formula for volume of a cylinder is

V=πr^2h

Plug in what we know

400 = πr^2(25)

divide both sides by 25

16 = π r^2

divide both sides by π (= 3.14)

r^2 = 5.0955414

then take the square root of both sides

r = 2.25733059

round to whatever place your teacher wants.

------------------------------------------

Kind of wishing the volume was 400π, lol. Would be easier to solve.

LMK if you have questions.

Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation. Identify Ericka’s mistake.

Answers

Ericka’s mistake is in ''Step 2.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.

Now,

Since, Ericka was solving an exponential equation.

Clearly, The equation is,

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

Step 1;

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾

Step 2;

⇒ 9x + 6 = 2 (3x - 24)

So, Ericka’s mistake is in Step 2.

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Find the y-value when x = 0 in the equation y = 2x + 3.

Answers

Answer:

Step-by-step explanation:

Y=2x+3

Y=2(0)+3

Y=3

during a lunch seminar chocolate caramel and strawberry toppings were available how many two-topping

Answers

There are 3 two topping sundaes possible.

How many two toppings are possible?

It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and  caramel topping. To answer this question, we thus apply the combinations formula.

Mixtures Formula:

C,n,x  is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.

Cn,x = n! / x!(n-x)!

sundaes with two toppings are possible

2 of a set of 3 toppings (chocolate, caramel and strawberry). So

C3,2 = 3! / 2! (3 - 2)! = 3.

Three two-topping sundae combinations are conceivable.

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image below if ur able to answer it u r a math god

Answers

Answer:

B 20 is the Q2 of the set shown above

Answer:

thx

Step-by-step explanation:

Don’t know need help

Answers

Answer:

37?

I am SO sorry if this is wrong

Find the area of the following
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Enter the exact answer as a decimal.

Answers

Answer:

The answer is 13.5

Step-by-step explanation:

The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m

Answers

Answer:

all this for five points, you're not serious

1 point
Find the length/distance between points (1,3) and (3,15).

Answers

Answer:

12.165525 is the answer

in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form​


will give the answers brainliest

Answers

Answer:

29000000000*140% = 40600000000

=40.6 billion

Step-by-step explanation:

right!!!

Select all the correct answers.
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.

60, 58, 64, 64, 68, 50, 57

On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution.

The interquartile range of the data increases when the eighth day's amount is included in the data.
The median amount of water is higher when the eighth day's amount is included in the data.
The interquartile range of the data decreases when the eighth day's amount is included in the data.
The median amount of water is the same with or without the inclusion of the eighth day's amount.
The average daily amount of water is the same with or without the inclusion of the eighth day's amount.

Answers

The interquartile range of the data decreases when the eighth day's amount is included in the data is true.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Joanna set a goal to drink more water daily.

The number of ounces of water she drank each of the last seven days is

60, 58, 64, 64, 68, 50, 57

On the eighth day, she drinks 82 ounces of water.

Raw data:      [60,58,64,64,68,50,57,82],

Sorted data:  [50,57,58,60,64,64,68,82]

Sample size = 8 (even)

mean  = 62.875

median  = (60+64)/2 = 62

1st quartile   = (57+58)/2 = 57.5

3rd quartile  = (64+68)/2 =  66

IQR = 66 - 57.5 = 8.5

Data without the eight day's measurement.

Raw data:      [60,58,64,64,68,50,57]

Sorted data:  [50,57,58,60,64,64,68]

Sample size = 7 (odd)

mean            = 60.143

median         = 60

1st quartile   = 57

3rd quartile = 64

IQR = 64 -57 = 7

Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.

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Answer: It's just

The interquartile range of the data decreases when the eighth day's amount is included in the data.

Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

( 8 + 27) + 52 and 8 + (27 + 52)

Which one is correct

yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent

Answers

Answer:

yes, it uses the Associative Property

Step-by-step explanation:

The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.

A base of 4 inches , height of 8 inches , the volume is 112 , Whts the length of the entire figure ?

Answers

Answer:

3.5

Step-by-step explanation:

To find a variable in volume with 2 lengths and the total, you divide the volume by the 2 lengths.

4x8=32

112/32=3.5

DOUBLE CHECK:

3.5x4=14

14x8=112

---

hope it helps

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

B

Step-by-step explanation:

c=a^2+b^2=9^2+40^2=41

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television

Answers

The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.

How to find the television's measurements Calculation?

Given: The generic version was created based on the brand name and was three eighths the size of the brand name.

12 inches by 24 inches is the size of the standard television set.

Allowing for x by y as the brand name's measurements

12 inches divided by three eighths

8/3 x = 12

x = 12 * 8 / 3 = 32 inch

and y=3/8 inches equals 24 inches

8/3 y = 24

y = 24 * 8 / 3 = 64 inch

As a result, the brand-name television has the following measurements: 32 by 64 inches.

Therefore, choice (C) is the appropriate response.

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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was  the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

a) 7.5 inches by 15 inches

b) 28 inches by 56 inches

c) 32 inches by 64 inches

d) 4.5 inches by 9 inches

Geometry - Should be pretty easy

Answers

Answer:

DQR

Step-by-step explanation:

DEF is complentary to DQR

Answer:

  ∆DQR

Step-by-step explanation:

You want the similarity statement if the triangles shown are similar.

Similarity

Triangles will be similar if they have congruent corresponding angles, or proportional corresponding sides.

No angles are shown in the figure, but side lengths are given.

We expect that if the triangles are similar that the corresponding sides will be ...

DE ⇔ DQEF ⇔ QRFD ⇔ RD

Proportion

The attached calculator display shows the ratios of these side lengths are the same: 14/3. That means ...

  ∆DEF ~ ∆DQR

<95141404393>

Use the Pythagorean theorem to find the length of the line

Answers

Answer:

This is one of my specialties so sit back, relax while I work on this for 5 mins :)

Step-by-step explanation:

The formula is a^2 + B^2 = c^2

Sooo

7^2 + 5^2 = c^2

49 + 25 = 74

√74 = √c^2

8.60232526 = c

8.60232526 rounded to the nearest tenth is 8.6

So there you go. Hope it helps!!

Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts

ES = ___ units


Round your answer to the nearest tenth.

Answers

The value of ES will be;

⇒ ES = 10.63 units

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Now,

Since, The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Hence, The value of ES is find as;

⇒ ES = √ (4 - (-3))² + (4 - (-4))²

         = √ 7² + 8²

         = √ 49 + 64

         = √ 113

         = 10.63

Thus, The value of ES = 10.63 units

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The number of left-handed people in the world is one-tenth the number of right-handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined. What percent of people are ambidextrous

Answers

According to question we can say that 1% percent of people are ambidextrous.

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Let 'x' represent the percentage of left-handed people.

Let y represent the percentage of right-handed people.

Let z represent the percentage of ambidextrous people.

x = y/100

100x = y

y/100 = 9( x/100 + z/100)

y = 9x + 9Z

10x = 9x + 9z

x = 9z

x+y+z = 100

11x + x/9 = 100

100x/9 = 100

x = 9

z = 1%

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Check all the equations that apply to meet the Segment Addition Postulate in segment PB. PO=7x+6, OB=3x+6 and PB=38 select all that apply

7x-26=-3x
7x+6-3x-6=38
10x+12=38
10x=50
38+3x+6=7x+6
10x=26

you get 100 pts if you answer so pls help me :c

Answers

Answer:

these two apply:

10x + 12 = 38 and

10x = 26

Step-by-step explanation:

7x+6+3x+6 = 38

10x + 12 = 38

10x = 26

x = 2.6

help is very much needed

Answers

Answer:

-972

Step-by-step explanation:

The next number in the sequence would be the previous number multiplied by 3.

-4*3 = -12

-12*3 = -36

-36*3 = -108

-108*3 = -324

-324*3= -972

Hope this helps! :)

Round your answer to the nearest hundredth.
B
?
65
А
7.

Answers

15.01

tan(65) = BC/7

BC = 7*tan(65)

Combine the like terms
2g + 15 + 3g + g + g- 18

Answers

Answer:

7g - 3

Step-by-step explanation:

2g + 15 + 3g + g + g - 18

2g + 3g + g + g + 15 - 18

7g - 3

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