Mathematics Middle School

The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40°, and the side between them will have a length of 8 meters. Make a scale drawing of the entryway using a scale of 1 cm : 2 m. Explain how you made your drawing.

Answers

Answer 1

Answer: The drawing in the attached figure

Step-by-step explanation: we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

Let

x ---> the measure of the vertex angle of triangle

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

c ----> the length of one congruent side

we have

substitute

solve for b

step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

or

1 cm in the drawing represent 0.02 m in the actual

Find the dimensions in the drawing

For a=8 m

For b=5.22 m

step 3

Draw the triangle

The Floor Of The Entryway To An Office Building Will Be Triangular. Two Angles Of The Triangle Will Measure
Answer 2
The drawing is attached

Related Questions

Given the circle shown, what is the radius? Be sure to include units. How did you find it? Explain in complete sentences.

Answers

What’s 27+27 and there’s your answer
The radius is 13.5 cm. To find the radius you have to divide the diameter by 2. 27 divided by 2 equals 13.5.

PLEASE HELP I WILL GIVE BRAINLIEST 5 Star review AND thankks <33333

Answers

Answer:

6

Step By Step:

Divide 4.5/0.75

Answer:

It should be, You can make 6 packages

Step-by-step explanation:

There's a lot to type but I swear I did work lol, lmk if it's right

please help ill give brainliest

Answers

Answer:

Step-by-step explanation:

what is the question

wheres the question ?

Not sure!!!!! HELP PLZZ I NEED A GOOD GRADE

Answers

Answer:

376 in mini 2

Step-by-step explanation:

The surface area of the box consists of three pairs of congruent rectangles of sizes:

10 inches by 6 inches;

8 inches by 6 inches;

10 inches by 8 inches.

Hence, the surface area is

376 in mini 2 hopes this helps

-4p + 23 = 15


Show your work

Answers

Answer:

p=2

Step-by-step explanation:

Isolate the variable

-4p = -8

Divide by the coefficient

p = 2

Answer:

p = 2

Step-by-step explanation:

-4p +23 = 15

-4p + 23 - 23= 15 - 23

-4p = -8

-4p/-4 = -8/-4

p = 2

Help thank you
Xxxxxxx

Answers

The answer to this is C. I hope this helps you out.
Ok Kenifer Lopez we stan queen why are you doing math?

The point (5, -1) is reflected over the
x-axis. What are the new coordinates?
A. (-5, 1)
B. (-5, -1)
C. (5, 1)
D. (-1,5)

Answers

Answer:

c

Step-by-step explanation:

when reflected across the x-axis the x becomes  negative and vise versa

when reflected across the y axis the y becomes negative and vise versa  

The new coordinates will be  [tex](5,1)[/tex] .

What are coordinates ?

Coordinates determine the position of the points or other geometric elements on graph.

We have,

Point [tex](5, -1)[/tex].

Reflected over x-axis,

So,

If a point [tex]( x,y)[/tex] under a reflection on the x-axis will be [tex](x,-y)[/tex] .

So,

according to the above mentioned statement,

Point [tex](5, -1)[/tex] reflected on the x-axis

We get ,

Reflected point [tex](5,1)[/tex] .

So, the new coordinates are  [tex](5,1)[/tex] .

Hence, we can say that the new coordinates will be  [tex](5,1)[/tex] .

To know more about coordinates click here

https://brainly.com/question/15300200

#SPJ3

please help ill give brainliest

Answers

Answer:

90%

Step-by-step explanation:

I checked

2y^2 + 30xy - 2y^2 + 4y - 4x

Answers

you're gonna have 2y^2 - 2y^2 which cancel out giving you 0 so they dont go into the simplified answer. then, since 30xy is the only one that doesnt have a match you place that down. then place +4y , and then -4x . It will give you 30xy +4y -4x .

or vise versa with the 4y and 4x . whichever your answer choices are or how u prefer to write it. <3

Please help me I have to turn this in by 5:00 I will give you the brain thing and extra points. 5/5

Answers

Answer:

48=x

Step-by-step explanation:

alternate exterior angles are congruent

x+50=2x+2

48=x

A) X = 48

You just do 2x + 2 = x + 50
And then do your algebra to find the answer which is X=48

Fill in the blanks to complete the equation that describes the diagram.

Answers

Answer:

-4 + -6 = -10

Step-by-step explanation:

you just have to start at the negative four and count up to the number negative ten, then you think “how many spaces are there between four and ten? SIX. so you just take six and turn it negative, boom.

Answer:

-4 + -6 = -10.

Step-by-step explanation:

let's think of it with positive numbers, you'd get 4+6=10. now turn them into negative numbers, now you're still adding, but you're getting a lesser number. the only way this happens is when you add negative (or MINUS) numbers.

A bicycle has a listed price of $520.99 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary

Answers

Answer:

557.00

Step-by-step explanation:

520.99x.0675= 35.166825
520.99+35.166825 = 556.156825
Your answer would be $556.17 if you round

Brady recorded the number and color of cars in the parking lot. 45% of the cars in the parking lot were white. If Brady counted a total of 81 white cars, how many cars did he count in the parking lot?

Answers

Answer:   36.45 Percent i think

Step-by-step explanation:

36.45 . It is simply step by step equation

Give an example of an equation with an infinite number of solutions. Then make one change to the equation so that it has no solution.

An example of an equation with infinitely many solutions: 6x + 7 = 6x + _____
The equation with one change and no solutions: 6x + 7 = ______

Answers

Answer:

was rome

Step-by-step explanation:

solutions: 412421

Name all of the radii of the circle. Oh and the D is /BF, /CE, /BC, /FE

Answers

Answer:

The answer is (C)

Because a radii or radius is a point connecting from the center of the circle to a end or a line that is half a circle. so C letter has : AD, AC, AB which are radius

What is the value of 8a + 16 c when a = –5 and c = –1?

Answers

Answer: -56

Step-by-step explanation:

If this helped plz mark me Brainliest.

Answer:

8(-5) + 16(-1)  =-40 -16 = -56

Step-by-step explanation:

select the equation that represents the problem let x represent the unknown number

Answers

Answer:

D

Step-by-step explanation:

Answer: D is the answer

Step-by-step explanation:

please just do number 8

Answers

i think it’s 14/5 or 2.8 :(

e

Step-by-step explanation:

Which expressions are factors of 4x2+35x−50?
Select the two correct answers.
2x−2
2x + 25
4x + 5
x + 25
x−5
2x + 2
4x−5
x + 10

Answers

The answer is 4x-5 and x + 10
hope this helps

Tyler's brother works in a shoe store.
Tyler's brother earns $12 per hour.
The store offers him a raise, a 25% increase per hour.
After the raise, how much will Tyler's brother make per hour

Answers

i think hell make 15 dollars an hour

Answer:

He will now make $15 a hour.

Step-by-step explanation:

12 + 3 = 15

25% of 12 is 15.

A manufacturer of breakfast cereals is considering the following two designs for cereal boxes.


The manufacturer wants to pick the package that will use the least cardboard packaging for a given volume of cereal.

Calculate the surface area and volume of each cereal box. Which one should the manufacturer use?

The manufacturer should use Box _______.

Answers

Answer:

Box A

Step-by-step explanation:

(72x2)+(18x2)+(36x2)=252

Please help me on this one! ​

Answers

5.) y=7/8x+1
6.)y=-10x
7.) y=2.5x-7
8.)y=1.2x
9.) y=-5x-8

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Which student got the most questions correctly.
(if you answer this may you please show your work)

Answers

Answer: Liz
To find the percent Liz got correct, you would do 47/50 to get 0.94. You would then move the decimal 2 places to get 94%.
94%>92%

Answer:liz scored better

Step-by-step explanation:

Liz scored better because how to find a percentage is dividing whatever two numbers you have by each other so it would be 47 / 50 which equals 0.94 then you times it by 100. Which would equal 94% which is better than a 92 which means Liz got the higher score

I'LL GIVE BRAINLIEST

A or D

Answers

Answer:

D

Step-by-step explanation:

Think of what the egyptians built wayyyy back then (Hint: Pyramids)

PLEASE HELP ASAP
Sorry if it’s hard to read but I have to turn this in in a few minutes and I don’t get it, you have have to sort them in 5 different piles

Answers

Answer:

If it goes through the orgin

Step-by-step explanation:

What's the length of YZ? *not to scale

Answers

Answer:

24.04

Step-by-step explanation:

[tex]{17}^{2} + {17}^{2} = 578[/tex]

[tex] \sqrt{578} = 24.04[/tex]

The roof of a home rises vertically a distance of 12 ft through a horizontal distance of 17 ft. Find the pitch (slope) of the roof.

Answers

Answer:

The pitch is 8.47

Step-by-step explanation:

To be honest I don't know how i found it i just used a special calculator but I hope this helps! :)

For each table, determine whether it shows that x and y are proportional.
If x and y are proportional, fill in the blank with a number in simplest form.

Answers

Answer:

yes and no  table 1 is wrong but  2 is proportional

Step-by-step explanation:

Count how many times you can fill the liter bottle from the gallon jug unit 3

Answers

Where’s the graph or whatever???

Answer:

i can't count

Step-by-step explanation:

A landscape supply business $30 to deliver mulch. The cost of the mulch is $23 per cubic yard. Write and solve a linear equation to find the cost of having 8 cubic yards of mulch delivered to a site.

Answers

The answer is $209 bye lol
Other Questions
What I Know1.It is the art of beautiful handwriting.A. CalligraphyC. Woodblock printingB. Chinese CalligraphyD. Korean Calligraphy2 These are more economical for common Chinese architecture.A. Multi-inclinedB. SweepingC. Straight inclinedD. Roof guards3These have curves that rise at the corners of the roofs. These are usually reserved for templesand palaces although there may also be found in the homes of the wealthy Chinese.:A Straight inclinedC. Roof guardsB. Multi-inclinedD. Sweeping4These are roofs with two or more sections inclined used for residences of wealthy Chinese.A Straight inclinedC. SweepingB. Multi-inclinedD. Roof guards5.It is a technique for printing text, images, or patterns used widely throughout East Asia.A Roof guardsC. Woodblock printingB. Japanese Ukiyo-eD. Chinese CalligraphycoolDirections: Choose the letter of the correct answer. Write your answer on a separate Write a java program for the followingA student will not be allowed to sit in exam if his/her attendance is less than 75% . Take the following input from user Number of classes held Number of classes attended And print Percentage of class attended Is student allowed to sit in exam or not . What is the value of x?A.3B.21C.9D.15 Read and match each incomplete sentence with the correct word or phrase to complete it. (8 points)Column A1.________ la calle por el puente porque es menos peligroso.:________ la calle por el puente porque es menos peligroso.2.________ a la izquierda despus del semforo.:________ a la izquierda despus del semforo.3.________ en la seal de alto o en el semforo rojo.:________ en la seal de alto o en el semforo rojo.4.________ por la carretera por 150 kilmetros.:________ por la carretera por 150 kilmetros.Column Ba.Sigueb.Parac.Doblad.Cruza If you wanted to prove that Beowulf shows traits of being an epic hero in his fight with Grendel, which form(s) of evidence would you use? SELECT ALL THAT APPLY. In his far-off home Beowulfheard how Grendel filled nights with horror/and quickly commanded a boatProclaiming that hed go to that famous king In his far-off home Beowulfheard how Grendel filled nights with horror/and quickly commanded a boatProclaiming that hed go to that famous king The days/of my youth have been filled with glory The days/of my youth have been filled with glory hells captive caught in the arms /Of him all the men on earth/Was the strongest hells captive caught in the arms /Of him all the men on earth/Was the strongest All of the above *EXTRA PTS* what is a fat-soluble, wax like, colorless liquid found in animals but not in plants, used to produce substances the body needs, such as cell membranes? please help!!!! What are the consequences of a single story (about a person or group of people)? An 80-kg clown sits on a 20-kg bike on a tightrope attached between two trees. The center of mass of the clown is 1.6 m above the rope, and the center of mass of the bike is 0.70 m above the rope.A) A load of what mass should be fixed onto the bike and hang 2.10 m below the rope so that the center of mass of the clown-bike-load system is 0.50 m below the rope?B) What is the force that the rope exerts on each tree if the angle between the rope and the horizontal is 15 (degrees)?Note: I have tried the center of mass formula Xcm= [(m1*x1) + (m2*x2) + (m3*x3)]/(m1+m2+m3) with no luck. Any help is much appreciated. You're invited to a hot tub party! Being the science geek that you are, you decide to calculate the amount of mL in the 650.0 gallon hot tub! There are 120 seventh graders at Danielle's school. Each day, the students have the option of eating outside or in the lunch room. Danielle decided to keep track of how many students eat outside each day. After recording her results for the whole school year, she has displayed the data for each month in a box-and-whisker plot. Below are her plots for the months of September and April.-Fill in the blank-The____number of students that ate outside in mode, mean, medianApril is approximately___25, 10, 15 ,20___Than thegreater, less____number of students that ate outside in September. median, mode, meanThere is more variability in the plot representing_____.April, SeptemberThere is ____overlap in the two data sets.much, some, no que el pblico participe en la campaa d ahorro d agua es un texto informativo persuasivo o recreativo If an 8-sided spinner is labeled with 2As, 2Bs, 2 ones, and 2 twos. What is the sample space for the probability model please help, will give brainliest Han's bank account has a balance that is overdrawn and his account balance is -$13.00. How much would he need to deposit in order to get his bank account balance to $10.00? Suppose you worked 4.5 hours today and 2.25 hours yesterday. If you made $87, what were youpaid for each hour of work? It costs $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you have $12.50, how many cups can you buy? can someone please help me on this 2. Lewis writes, Twelve-foot waves tossed them around like rag dolls."This line contains a simile thatA. shows how far away from land the men wereB. describes how cold the waves wereC. helps readers understand how rough the water wasD. conveys the idea that the sea was gentle3. Consider this line: During the trial, the Navy accused McVay of putting 10 pointsindue" means Help me.. People who are just trying to get points by just spamming peoples questions, will be reported I need help asap answer this please Solve for x.