Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
Mr. K was able to spot quite a few window washers on the skyscrapers there. He asked them how long it took to wash windows on such a building. They said that each person could wash 50 windows in 1 hour.
(How long would it take the 3 workers to wash all 1000 windows on one of the skyscrapers?)
Answer:
6.7 hours
Step-by-step explanation:
If one can do 50 then three can do 150.
So 1000÷150=6.66666666666
Hope this helps
Abe plans to lay tiles on the areas shown. A case of tiles costs $40 and covers 15 square feet. How much does Abe need to budget for the tiles?
$360
$400
$440
$480
NO LINKS!!!
PLEASE HELP IF YOU WANT BRIANLEIST TY!! ^ ^
)) What is 538 rounded to the nearest ten? 500 535 ))
Step-by-step explanation:
540 because it I think or 535 but I I think it's 540
As she drove down the icy road, Mrs. Campbell slammed on her brakes. Her car did a 360. Explain what happened to Mrs. Campbell's car.
Answer:
Step-by-step explanation:
Her car doing a 360 means that the car turned in a manner akin to going round a full circle. This is because, she was moving on an icy way. Ice have been known to be slippery, and thus, stepping on the brakes unexpectedly would have made the car tilt a bit, which then increased to turning sideways, and an eventually full circle turning. This full circle turning is what is being referred to as 360
I got the lateral I just need help with the total surface area
Answer:probably just mutiply all the numbers!
Step-by-step explanation:
Find the next term in the sequence:
3/469, 9/469, 27/469, 81/469, ...
A. 243/469
B. 100/469
C. 27/156
D. 84/469
Answer:
A. 243/469
Step-by-step explanation:
Looking at the terms here, it seems that the this powers of 3 divided by 469.
3 is 3¹. 9 is 3². 27 is 3³. 81 is 3⁴.
Knowing that, then 3⁵/469 is the next term. 3⁵ is 243, so the next term is 243/469, which is A.
The function f (x) is a PLEASE HELP ME. quadratic function.
How does the graph of f (x + 4) compare to the graph of f (x)?
A. It is shifted 4 units up.
B. It is shifted 4 units down.
C. It is shifted 4 units to the left.
D. It is shifted 4 units to the right.
Answer:
It is shifted 4 units down
HELP PLEASE 24 POINTS
Answer:
sdfghhhj
Step-by-step explanation:
ther is no qustions
Answer:
Nothing there.
Step-by-step explanation:
Please add a photo of the equation or something.
About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?
Answer:
[tex]A=339.42\ cm^2[/tex]
Step-by-step explanation:
The diameter of the roll of paper, d = 4.5 cm
Radius, r = 2.25 cm
Height of the roll of papaer, h = 24 cm
We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :
[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]
So, the required area is [tex]339.42\ cm^2[/tex].
Five examples of how circles and their radii be used in other content areas
Thanks for the points but i hope you have a great day and find your answer
Marking brainliest
What colors should I add?
Answer:
Maybe some red, lime green, tan-ish brown, blue, crimson, navy blue
Step-by-step explanation:
"all points equal in distance from a fixed point called the center" is part of the definition for what 2d shape?
Answer:
Are you in Mr. Burg...'s class? I have no clue what the answer is though.
Step-by-step explanation:
becca surveyed the students at her school to find out which cellphone company they use. Her results are listed on the table. What is the probability that a randomly chosen student is a junior who uses company B?
Answer:
would be awesome if u had attached a pic of the graph. we can't help u with this little information
find <ABC. Please help.
Answer:
[tex]\angle\ ABC=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]
[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]
[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]
[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]
[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]
[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]
help m.e please please
Answer:
(-3, -4)
Step-by-step explanation:
The solution is where the two lines intersect. Therefore, the x-coordinate is -3, and the y-coordinate is -4.
Another way to solve this would be to set the to equations equal to each other, so 2x+2 = -4. Therefore, 2x = -6, and x = -3. And from the second equation, y = -4.
???? Help me guys <3
Answer:
your answer is D
the circle is filled in which means AND equal too
the arrow is bold and its pointing down showing that X is less than 4.
your answer is D and thats final.
Find the 8th term of the geometric sequence 7, 28, 112, ...
Answer:
114688
Step-by-step explanation:
i think this is the answer
Answer:
114,688
Step-by-step explanation:
the previous term is multiplied by 4 to get the next term.if you continue with this sequence you would eventually get 114 688
HELP PLEASE!!!!!!!!!!!!!!!!!
Answer:
a
Step-by-step explanation:
on x line it = 3 and there is no slope/no steep hill yk
Answer:
Slope= 0 , X= 3
Step-by-step explanation:
the slope goes up 1 over 0.
I hope this helps
Have a good day.
The measure of an angle is 5.9°. What is the measure of its supplementary angle?
Answer:
174.1 degrees
Step-by-step explanation:
180 - 5.9 = 174.1
Find the volume of the rectangular pyramid.
16 ft
-Ft--
2 ft
7 ft
Figure not drawn to scale.
Answer:
ft 3
Who walked the shortest distance on the trail?
Answer:
charles
Step-by-step explanation:
8. A door to a classroom is 50 inches tall. Which of the following is another measure equal to
the height?
A. 4 ft 2 in.
B. 4 ft 1 in.
C. 4 ft 1/2 in.
D. 5 ft
Answer:
A.
Step-by-step explanation:
12 = 1 feet
50 =4ft 2in
Answer:
B. 4 ft 2 in.
Step-by-step explanation:
1 ft = 12 in
50/12 = 4.2
Can someone please explain how to do this thanks. I have a test tomorrow:/
Pls help
Pls help
Pls help
Answer:
[tex]153\ in^2[/tex]
Step-by-step explanation:
1. Approach
Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.
2. Area of the trapezoid
The first figure is a trapezoid, calculate its area by using the following formula,
[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]
Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.
[tex]A_t = \frac{16 + 5}{2}(10)[/tex]
Simplify,
[tex]=\frac{21}{2}(10)[/tex]
[tex]=10.5(10)[/tex]
[tex]=105[/tex]
3. Area of the rectangle
The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,
[tex]A_r =(b)(h)[/tex]
Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,
[tex]A_r=(16)(3)[/tex]
Simplify,
[tex]=48[/tex]
4. Find the total area
Now add up the values for the area of each figure. The result will be the total area of the figure,
[tex]A_t + A_r = A[/tex]
Substitute,
[tex]105 + 48 = A[/tex]
Simplify,
[tex]153 = A[/tex]
The total cost to play paintball can be represented by the expression (48x+54). If Rocco and five friends split the cost equally, what is the cost for each person
Answer:
8x + 9
Step-by-step explanation:
The total number of people splitting the cost equally = Rocco and five friends = 6 people
The total cost to play paintball can be represented by the expression (48x+54)
The cost for each person is calculated as: The total cost to play paintball/ Total number of people
= (48x+54)/6
= 48x/6 + 54/6
= 8x + 9
Therefore, the cost for each person is
8x + 9
1. (1 point)
Determine the measure of 0 to the nearest degree.
a. 40°
b. 38°
C. 36°
d. 42°
HELPPPPPPPPPPPP PLEASEEEE
Answer:
H. 13.5 in²
Step-by-step explanation:
[tex]V=LWH/3[/tex]
[tex]V=(3)(3)(4.5)/3[/tex]
[tex]V=13.5 in^{2}[/tex]
--------------------
hope it helps...
have a great day!!
Substitution.
-3x - 2y = -12
y = 5x - 7
Answer:
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x=-16
x=2
What is the value of c in the equation below?
24.22= a^b = 0
Answer:
There's no c in your uploaded question