1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:

a) What is the landing space per step (in inches, rounded to the nearest inch)?

b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).

A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.

Answers

Answer 1

Answer:

A)

Each landing is about 17 inches.

B)

The vertical rise from Floor 1 to Floor 2 is about 7 feet.

Step-by-step explanation:

Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)

Part A)

So, we want to find the length of [tex]\ell[/tex].

Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.

Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:

[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

Therefore:

[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]

Solve for [tex]\ell[/tex]. Cross-multiply:

[tex]\displaystyle \ell\tan(30.20)=10[/tex]

So:

[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]

The landing space per step is about 17 inches.

Part B)

We know that there are a total of 12 feet of horizontal space total for each landing.

12 feet is equivalent to (12)(12) = 144 inches.

Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.

Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.

1) An I Staircase Has A 10 Inch Vertical Rise Per Step To Get To The Second Floor Of The House. If The

Related Questions

Consider the exponential function g(x) = 1,296x .

Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.

Answers

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

Kathy is planning a party. She decides to serve pizza to her guests and estimated that she will need 12 pizzas with 8 slices each. If each person eats 3 pieces, then how many people cans she serve.

Answers

Answer:

32 people can she serve

Step-by-step explanation:

12x8=96

96 divided by 3=32

6
x

5
y
=
14

Find
x
when
y
=
2

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Answer:

4

Step-by-step explanation:

Im getting kicked out the house if i fail this please help

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Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

what are two ratios that are equivalent to 1:1​

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Answer:

2:14 and 3:21

Step-by-step explanation:

Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.

Answers

x(4*1) because I’m just doing what I’m told.

Solve the equation. b/6 = 3 b=​

Answers

B = 18. Yoh would multiply 6 to 3 which is 18

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Can you please help me

Answers

X = 70 and y = 35, I hope this helps
The answer is Y=35 and x=70

please answer quickly!!!

Answers

Answer:

[tex]c=20[/tex]

Step-by-step explanation:

The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:

[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]

What is the value of the expression ?

Answers

[tex]16 - 3(8 - 3) {}^{2} \div 5[/tex]ANSWER

[tex]1[/tex]EXPLANATION

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

I will give brainiest to whoever answers correctly !!

Answers

Answer:

2.4

Step-by-step explanation:

The formula you would use is: A = P(1 + rt)

P is the principal which is $270

r is the interest rate

t is the time in years but we have 11 days so 11/360

A is $19.8

let's put the values in the formula

$289.9= $270(1 + r*(11/360))

you will find the r is 2.4

In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

complete the ratio table below

Answers

I think 53, 46, and 65

an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.

Answers

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036


Use the diagram to derive the law of cosines. Fill
in the missing statements in the derivation

Answers

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

More about the triangle link is given below.

https://brainly.com/question/25813512

Urgent help need it plz help ​

Answers

Answer: x = 9

Explanation:

Add the three angles up, and equal them to 180, as a triangle has 180*.

(13x + 2) + (3x - 4) + (5x - 7) = 180
Add together the like terms.
13x + 3x + 5x = 21x
2 + (-4) + (-7) = 9

21x + 9 = 180
21x = 189 (subtract 9 from both sides)
x = 9 (divide 21 from each side)

In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

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Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.

Answers

9514 1404 393

Answer:

  k = 4.5

  y = 4.5x . . . y bracelets in x hours

Step-by-step explanation:

The constant of proportionality is the "unit rate", the number of bracelets per hour.

  k = bracelets/hours = 36/8 = 4.5

The constant of proportionality is 4.5 (bracelets per hour).

__

The equation of a proportional relationship is ...

  y = kx

For this relationship, ...

  y = 4.5x . . . . . . y bracelets in x hours

A recycling bin in the shape of a rectangular prism has a volume of 9,720 cubic
inches. The base area of the recycling bin is 324 square inches. What is the height
of the recycling bin?
A. O 10 inches
B. O 15 inches
C. O 30 inches
D. O 36 inches

Answers

Answer:

YOUR MOM IS THAT BIG

Step-by-step explanation:

LOL

Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch

Answers

5/6 is the answer so I guess the last one.

Help plz will do BRAINLIEST!!!!!!

Answers

Answer:

125  56 − x 7

Step-by-step explanation:

1/2-3/8/1/3+4/7(5- 1/4 x)

HELP! Whoever gets it right gets brainliest!!

Answers

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

If Julie had 10 bags of apples that has 5 apples in it and she took out 3 apples from 1 bag, how many apples does she have

Answers

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

???????????????????????????

Answers

Answer:

-9

Step-by-step explanation:

metalworker has a metal alloy that is 25​% copper and another alloy that is 70​%
copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 52​% copper alloy

Answers

x = amount (kg) of 25% coper alloy

y = amount (also kg) of 70% copper alloy

Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.

The metalworker wants to make 50 kg of this new alloy, so that

x + y = 50

of which 52%, 0.52 (50 kg) = 26 kg, is copper, so

0.25x + 0.7y = 26

Solve for y in terms of x :

y = 50 - x

Substitute this into the other equation and solve for x :

0.25x + 0.7 (50 - x) = 26

0.25x + 35 - 0.7x = 26

9 = 0.45x

x = 20   →  y = 30

what is -2(3x + 12y - 5 - 17x - 16y + 4)

Answers

Answer:

−2(3x+12y−5−17x−16y+4)

=(−2)(3x+12y+−5+−17x+−16y+4)

=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)

=−6x−24y+10+34x+32y−8

=28x+8y+2

(~ ̄▽ ̄)~           -Have a wonderful day-

I need the answer ASAP

Answers

Answer: Its a rational number

Step-by-step explanation: All repeating decimals are rational :)

It’s the one you picked.

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


(Please help me with this quiz)

Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?

Answers

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

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