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

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

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

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:

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

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

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

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

Answers

Answer:

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

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:

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

Answers

Answer:

Step-by-step explanation:

Answer: D is the answer

Step-by-step explanation:

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

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

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

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:

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

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

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

I'LL GIVE BRAINLIEST

A or D

Answers

Answer:

Step-by-step explanation:

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

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! :)

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

-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

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.

please just do number 8

Answers

i think it’s 14/5 or 2.8 :(

Step-by-step explanation:

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

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]

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.

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.

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

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?

please help ill give brainliest

Answers

Answer:

90%

Step-by-step explanation:

I checked

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:

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:

Step-by-step explanation:

what is the question

wheres the question ?

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