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

Need some help don’t understand it

Answers

Answer:

find the value

Step-by-step explanation:

duhhhhhhhhh

Answer:

Step-by-step explanation:

6x+8+4x+2=180

the sum of interior angles =180

10x+10=180

10x=180-10

10x=170

x=17

Which answer choice shows an inequality that represents the problem below? Marcus needs more than 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
24x + 125 > 550
24x + 125 >_ 550
24x + 125 < 550
125x + 24 > 550​

Answers

Answer: 24x + 125 > 550

Step-by-step explanation:

Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz

Answers

Answer:

a) 4

b) 1

c)2

Step-by-step explanation:

a) 5y - y

= 5 - 1

=4

b) 3×1×1 + 2×1 + 3×0×0

= 3 - 2 + 0

1

c) 2×1×1 - 3×1×1×0

= 2 - 0

= 2

5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 points
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 > 148
b. 12y + 40 > 148
d. 12y + 40 < 148
CU
b

Answers

Answer:

Step-by-step explanation:

12y + 40 ≥ 148

12y ≥ 108

y ≥ 9

Rupesh must mow at least 9 more yards to have

the $148 he needs.

solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation

Answers

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

Identify the slope and y- intercept y=2x + 2

Answers

Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

Ok now that the image works did I do this right?

Answers

Yess!! That’s how u do it && continue to work hard!

Brainly please help I been asking

Answers

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

The problem
1/3+1 5/6=

Answers

Mixed number form:2 1/6 Decimal form:2.16 exact form: 13/6
The answer is 2.6 or 2 1/6 or 13/6

Which is the graph of
y= 1/2x

See picture

PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!

Answers

Answer:

Option 1

Step-by-step explanation:

Let's look at the slope; 1/2

it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.

Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.

You can stop here, but we can also triple check using the rise/run.

Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.

If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.

Hope this helps!

Find the volume of a cone with a base diameter of 8 m and a height of 12 m.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.

Answers

Answer:

the formula for the volume of a cone is:

1/3hπr²

1/3×12m×π×8m=100.48m³

Estimate the values of x when y=1

Answers

Step-by-step explanation:

if one were to put the y value the equation they could find out what x is for a certain value of y

putting the value of y(1), we get the equation

1=4x-1

2=4x

x=0.5

the value of x when y is 1 is =0.5

NOTE: I got this explanation on brainy on someone else I am not taking the credit

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

What is Linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The function is,

y = 4x - 1

Now, The graph of function y = 4x - 1.

And, At y = 1;

By the graph the value of x = 1/2.

And, In mathematically;

At y = 1

The value of x is;

y = 4x - 1

1 = 4x - 1

4x = 2

x = 2/4

x = 1/2

Thus,

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

Learn more about the linear expression visit:

brainly.com/question/28123248

#SPJ2

PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6

Answers

Answer:

ima say 200 but I'm not 110 percent sure

Will mark brainliest!!! Please solve the ones in green using Tran

Answers

Answer: 160.96 and 99.03

Step-by-step explanation:

Number 1:

[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]

Number 2:

[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]
here is a picture of the work and the final answers. i hope this helps!

the regular price of a bicycle is $120.the bicycle is on sale for 20% off.which expression is equal to the sale price,in dollars,of the bicycle

Answers

Answer:

96$, hope this helps! (^⊆^)

Step-by-step explanation:

120 x .20 = 24

120 -24 =$96

Help me answer, please.

Answers

TWENTY FIVE TWENTY SIX that’s my answer I hope this help

Which is rational and irroational

Answers

Answer:

1. Rational

2. Irrational

3. Irrational

4. Irrational

5. Rational

Step-by-step explanation:

I am not 100% this is correct, but I tried my best

Hope this helps!

~PurpleMist

SOMEONE PLS HELP
the multiplicative inverse of 1/5 and (2x-1/5)

Answers

Answer:

You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.

Step-by-step explanation:

Answer:

inverse 1/5 = (1/5)^-1

=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5

inverse 2x-1/5 = (2x-1/5)^-1

=1/(2x-1/5)¹ =1/(2x-1/5)

=1/(10x/5 - 1/5) = 1/(10x-1 / 5)

=1(5 / 10x-1) = 5 / 10x-1

PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.


Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.



Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.

Answers

Answer:

he earns 69 dollars

Step-by-step explanation:

1st grade question now give brainliest 5 stars and heart

Answer:

Step-by-step explanation:

Part A.  

6x-2=68

  +2       +2

6x=70

/6      /6

x=11.66

x≈12

Part B.

6x-2+8x=68

14x-2=68

   +2  +2

14x=70

/14      /14

70/14=5

x=5

I hope this helps:

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.
Which rule of inference was used here?
A. Conjunction
B. Resolution
C. Modus Ponens
D. Disjunctive Syllogism
E. Hypothetical Syllogism
F. Addition
G. Modus Tollens
H. Simplification

Answers

Answer: Resolution

Step-by-step explanation:

The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.

Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.

We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.

I am joyous to assist you at any time.

The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form [tex]y=ab^{x}[/tex] that represents the situation

Answers

Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]

Step-by-step explanation:

Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

[tex]y=12000(1.05)^x[/tex]

Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.

B
C
55
73
А
Find m2C Round the answer to the nearest hundredth.
A. 0.85°
B 41.11°
C. 48.890
D.undefined

Help

Answers

Answer:

c

Step-by-step explanation:

the equation of a circle whose center is (-5, 3) and whose radius is 6?

Answers

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

QUESTIONS: SOLVE FOR X

please help if you can !
please don't comment just to comment if its not gonna help me i really need help. ​

Answers

The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped

Find the missing angle.

Answers

add all the angles and subtract that number from 360. missing angle: 87

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft

Answers

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

Please help me....................

Answers

Answer:

B = 43°

a = 44.7

c = 53.3

Step-by-step explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)

Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:

Answers

Answer

y=4x-3

m=4 or 4/1

b=-3

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