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

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Please I really need help on this one

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Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

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Answer:

Plot the same points that are on the table

Step-by-step explanation:

when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))

Can someone please answer

Answers

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
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Answers

Answer:

ans will option 130 degree

The value of x in the given figure is 130 degrees.

What is the value of x?

The first step is to determine the value of all of the angles in the quadrilateral.

First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50

Angle x = 180 - 50 = 130

To learn more about quadrilaterals, please check: https://brainly.com/question/16595449

determine the promotional price of each item at each store

Answers

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

                                         = 80 - 20% of 80

                                         = 80 - [tex](\frac{20}{100}\times 80)[/tex]

                                         = 80 - 16

                                         = $64

Price after 40% discount = 80 - 40% of $80

                                         = 80 - 32

                                         = $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

                                         = 60 - 20% of $60

                                         = 60 - 12                                    

                                         = $48

Price after 40% discount = Original price - discount

                                         = 60 - 40% of 60

                                         = 60 - 24

                                         = $36

Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6

Answers

I will help you as soon as possible

Answer:

CD=8

Step-by-step explanation:

CD=1/2 of ZX

1/2 of 16= 8

Hope this helps!

Please mark me brainliest if you can. :)

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Someone Help please with work!! 15pts​

Answers

Answer:

f(5) is equal to 5.

Step-by-step explanation:

You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value.  If you look closely, you'll see that the x value of 5 has a y value of 5 as well.

5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO I NEED HELP DUE VERY SOON HANDING OUT BRAINLIEST PLEASEE HELP I BEG U.

Answers

Step-by-step explanation:

We know that the volume of a rectangular prism is the base area multiplied by its respective height.

Hence we have 24in² * 6in² = 144in³.

The volume of the package is 144 cubic inches.

Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?

Answers

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

need help asap please

Answers

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

what‘s the maximum and minimum
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Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

The answer is D WIEIDMJDDISKKSJDJDJDUUX

PLease help will mark brainliest !!!!!

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Answer: The answer is d

I will give brainiest to whoever answers correctly !!

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Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.

19 ≥ 3f+1 ≥5 pls help

Answers

Answer:

Hi...u should do like this

18>3f>4

6>f>4/3

need help asap please !!

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Answer:

52

Step-by-step explanation:

2w - 78 = w - 26 ( being opposite sides of parallelogram)

2w - w = 78 - 26

w = 52

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Answer:

4

Step-by-step explanation:

A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances

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Answer: 10

Step-by-step explanation:

Each mile has 4 quarter miles.

2.5 miles are covered.

4×2.5=10

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Find the quotient of 4.13 × 10^−8 and 0.04 × 10^5. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.

Answers

Answer:

[tex]q=1.03\times 10^{-11}[/tex]

Step-by-step explanation:

Given that,

First number [tex]=4.13\times 10^{-8}[/tex]

Second number [tex]=0.04\times 10^{5}[/tex]

We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,

[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]

or

[tex]q=1.03\times 10^{-11}[/tex]

So, the final answer is [tex]1.03\times 10^{-11}[/tex]

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Answers

Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Find the mean of 86, 87, 91, and 128

Answers

Answer:

98

Step-by-step explanation:

Answer:

296

Step-by-step explanation:

I hope this helps you out!

Need help fast!!

Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT

Answers

Answer:

4 miles

Step-by-step explanation:

four times six equals 24

its the number of miles times six equals the minutes

The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00

Answers

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

let’s go to the beach each let’s go get away say say what they gonna say the patron on

b. (1-4) Name two obtuse
angles in the shape
below:

Answers

Answer

ADC and BDC

Explain:

Answer:

Same like other users

Help please will mark brainliest!!

Answers

20x20=400
pi(3.14) x 10^2(100)
100x3.14=314
400-100pi=85.8407 (then you can round if you need to)

Solve for x and round to the nearest tenth

Answers

Answer:

i think its 18 :))

all 3 are solve for x:
24.
25.
26.

Answers

24: x= 33

25: x=21

26: x= 11

A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?

Answers

Answer:

Step-by-step explanation:

From the given information:

For X to be valid, the possible values of X should be greater than zero i.e. X > 0

If X obeys a lognormal distribution

Then; Y = In X

So,

Now,

[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]

[tex]E(X) = 1.8913[/tex]

Also;

[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]

V(X) = 2.7387

SD(X) = 1.6549

[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]

= 0.108

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I can’t see the question

Help please I will Brainly

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Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

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