How to construct a triangle if Perimeter and base angle - 15 units, 55° and 60°​

Answers

Answer 1

Explanation:

In the usual sense of the term "construct", it is impossible to create a triangle with the given measures. A ruler of some sort must be used in order to make it have the given perimeter. That means you're not doing the construction with a compass and (unmarked) straightedge.

Similarly, it is impossible to "construct" a 55° degree angle. Such an angle can be created using a protractor. (Angles that are multiples of 7.5° can be constructed, but 55° is not one of them.)

__

To make the perimeter be 15 units, at least one of the side lengths must be known. The side lengths will be proportional to the sines of the angles, so the scale factor for that can be found as ...

  k = 15/(sin(55°) +sin(60°) +sin(65°)) ≈ 15/2.59148 ≈ 5.78819

Then the side opposite the 65° angle, between the 55° and 60° angles, will be ...

  k·sin(65°) ≈ 5.24588 . . . . units

With this information, a ruler, and a protractor, the triangle of interest can be created.

(The first attachment is output from a triangle solver showing that the above measurements will result in a triangle with the desired perimeter.)

__

The steps could be as follows:

Using a ruler, create line segment AB of length 5.246 units. Using A as its vertex, mark an angle 55° from line AB, and draw its terminal ray. Using B as its vertex, mark an angle 60° from line AB, and draw its terminal ray. The intersection of those rays is point C of the desired triangle ABC. An example is shown in the second attachment.

How To Construct A Triangle If Perimeter And Base Angle - 15 Units, 55 And 60
How To Construct A Triangle If Perimeter And Base Angle - 15 Units, 55 And 60

Related Questions

Choose Yes or No to tell whether each rate is a unit rate, 1/ 1/3 , 2/3 / 1 , 2/3 , 3/1​

Answers

Answer:

Unit rate is literally 1/x.

Step-by-step explanation:

U can figure out the rest!

can someone help with math please

Answers

Answer:

first exercise:

24

10

0

-2

-8

-11

exercise two:

neither of them

Step-by-step explanation:

start with the greater number which is not negative numbers = 24, and so on, last is -11

neither of them is true

Express (5a3n)3 with positive exponents.

Answers

I think you meant to expand this.

(5a³n³)

= (5a³n¹)³

= 5³ (a³)³ (n¹)³

=》5³ = 5 × 5 × 5 = 125

=》(a³)³ = a⁹

=》(n¹)³ = n³

5³ (a³)³ (n¹)³

= 125a⁹n³

Note :-

=》(aᵇ)ᵇ = aᵇ ˣ ᵇ

_____

RainbowSalt2222 ☔

Given the diagram below what is the length of RS or the distance across a body of water?
85 m
45 m
60 m
75 m

Answers

Answer:

A 85

Step-by-step explanation:

Find the slope of the line through the pair of
points (simplify all fractions).
(6, 10), (-20, 14)

Answers

Answer:

-0.15

Step-by-step explanation:

[tex]\frac{y{2}- y{1} }{x{2}-x{1} }\\[/tex]      is the formula

now let's subsitute into the formula with our points (6,10) and (-20,14)

[tex]\frac{14-10=4}{-20-6=-26}[/tex]

now we have the fraction [tex]\frac{4}{-26}[/tex]     or -0.15

Help please !! It’s about slopes

Answers

Answer:

but what do you have to do tho

Step-by-step explanation:

What is the solution to the system of equations?

y=0.7x−2
2x+y=25


(15, 8.5)

(10, 5)

(3, 0.1)

Answers

Answer:

b num i think only not sure

Solution to the system of equation y = 0.7x − 2 and 2x + y = 25 is (- 27, - 9).

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given are two equations y = 0.7x − 2 and 2x + y = 25.

Now let us write these equations in a similar manner.

y = 0.7x − 2 ⇒ - 0.7x + y = - 2...(i)

2x + y = 25...(ii)

Now subtracting eqn(i) from eqn(ii) to cancel out the term y we get

2.7x = - 27.

x = - 10 and substituting the value of x in any one of the equations we get

y = 0.7(-10) - 2.

y = - 7 - 2.

y = - 9.

So, one of the solutions to the system of equations is (- 27, - 9).

learn more about linear equations here :

https://brainly.com/question/13738061

#SPJ2

Is this correct can someone please check it

Answers

9514 1404 393

Answer:

  10. needs work

  11. correct

  12. correct

  13. correct

Step-by-step explanation:

In general, it is a good idea to write a statement that answers the question asked. Simply solving an inequality for "x" rarely answers the question (unless it is a question that asks for the value of "x"). It is often best to try to use the wording that the question uses.

It is also a good idea to say what your variable represents.

__

10.

The required relation is "cheaper than" so the "or equal to" case does not apply. The variable represents messages, so the solutions will be integers.

  "Nadine can send and receive more than 33 messages so the unlimited plan is cheaper."

__

11.

"Becky can afford at most 8 fish."

__

12.

"Loretta must drive more than 260 miles farther to reach Pensacola."

__

13.

"Terri can spend at most 35 minutes listening to music."

_____

Additional comment

The wording of the question in problem 10 is unconventional, but we have elected to use it anyway in the above answer. We could write "The unlimited plan is cheaper if Nadine sends and receives a total of more than 33 messages."

15m+9n=-6 solve for n

Answers

Answer:

( - 2 - 5m ) / 3

Step-by-step explanation:

15m + 9n = - 6

9n = - 6 - 15m

Divide by 3 on both sides,

9n / 3 = - 6 / 3 - 15m / 3

3n = - 2 - 5m

n = ( - 2 - 5m ) / 3

Answer:

[tex]15m + 9n = - 6 \\ 9n = 15m - 6 \\ n = \frac{15m - 6}{9} \\ \\ n = \frac{15m - 2}{3} [/tex]

Did you know it takes about 40 pounds of olives to make 3 liters of olive oil? Orchard A grew about 2000 pounds of olives. How many liters of olive oil would this make?

Answers

Answer:

150

Step-by-step explanation:

Using the unitary method,we can say that 150  liters of olive oil it will make.

What is unitary method?The unitary method is a technique in mathematics for solving a problem by finding the value of a single unit, I.e.,1,(by dividing) and then finding the necessary value by multiplying the single unit value.A method of solving a problem that involves first determining the value of a single unit,And then multiplying that value to determine the required value.

According to the question,

40 pounds of olives to make 3 liters of olive oil.2000 pounds of olives will make 150  liters of olive oil.    3/40= 0.075 0.075 * 2000150

hence,We may estimate that 150 liters of olive oil will be produced using the unitary approach.

Know more about unitary method click here:

https://brainly.com/question/23423168

#SPJ2

Factor completely. x3 - 8x2 - 2x + 16​

Answers

[tex]x^3 -8x^2 -2x +16\\\\= x^2(x-8)-2(x-8)\\\\=(x-8)(x^2-2)\\\\=(x-8) \left(x+\sqrt 2 \right) \left(x - \sqrt 2\right)[/tex]

(x-8) (x^2 - 2) i hope this helps!

Find the values of x and y.
48°
(5x – 17)
X =
and y =

Answers

Answer:

5x -17 =0

x = 17/5

Step-by-step explanation:

..

....

.

.

.

50 points if you get this right

Answers

Answer: 1. The measure of angle WXY is equal to 37°

              2. The measure of angle ZXW is 74 degrees

7+3x5-4(divided by)2+3 USING PEMDAS SHOW YOUR WORK
WILL MAKR BRAINLIEST

Answers

Answer:

23

Step-by-step explanation:

(PEMDAS)

No parentheses

No exponents

Multiply 3*5= 15

Divide -4/2 = -2

Rewrite equation

7+15-2+3➡22-2+3➡20+3

23

Answer: 23

Step-by-step explanation: Multiply 3*5= 15

Divide -4/2 = -2

After, rewrite the equation

7+15-2+3 22-2+3 20+3

Answer : 23

five to the power of 3

Answers

Answer:

125

Step-by-step explanation:

5 × 5 × 5 = 125

5 x 5 = 25

25 x 5 = 125

Hey there!

5^3

= 5 * 5 * 5

= 25 * 5

= 125

Therefore, your answer is: 125

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

At Target, a regular size of oreos (17 oz) is $3.79.
At Jewel, a regular size of oreos (17 oz) is 2.99
Find cost per oz. Be sure to show your work!!!

Answers

Target: 0.222941176 Per Oz

Jewel: 0.175882353 Per Oz

Assuming your teacher isn't a maniac she's going to round to the nearest cent. In this case, Target charges (about) 22 cents per Oz. Jewel charges (about) 18 Cents per Oz. This is 0.22 Dollars and 0.18 Dollars if she wants it in dollars and not cents.

What is the intercepts of the line?

Answers

Answer:

The y-intercept is 2.5

The x-intercept is 3.5

Step-by-step explanation:

Hope this helps!

please help me asapppppp

Answers

Answer:

make me brainlest I'll answer that, I'm Bright in math

Can yell help me pweaseeeee I need help with 7

Answers

Answer:

False

Step-by-step explanation:

Lines that intersect at right angles are called parallel. False

They are called intersecting lines.

Answer:

False

Step-by-step explanation:

This is false, lines that are always the same distance apart and never intersect are paralle. Line that intersect at a right angle are called perpendicular. See the image.

Which inequality is graphed below?


Answers

Answer:

The answer is the last one or the one on the very bottom because y is above and touching the line so y must be greater than or equal to the slope plus the y-intercept or b. I figured out the slope by using rise over run meaning that you must first go up or down on a coordinate and then go left or right to meet the other coordinate. The y-intercept is just the place where the line touches the y axis and that is on -1. By piecing up these pieces of information one by one you will get D or the last one.

Hope this helped.

You sit in the bleachers at a concert. The angle of depression from your horizontal sight to the stage is 24 degrees. If your seat is 45 feet above the stage level what is your actual distance d from the stage

Answers

Answer:

x=111ft

Step-by-step

sin 24 = 45/x

+ the parallel lines

45 +x+24

x= 45/sin 24

The actual distance of your from the stage is 111 feet.

What is angle of depression?

The angle formed by the line of sight and the horizontal plane for an object below the horizontal is called angle of depression.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have

Angle of depression = 24degrees.

Let d be the actual distance of your from the stage.

Now in right angle triangle ABC

We have

AC = 45 feet

And, ∠ABC = 24 degrees

Now the Sine of an angle ∠ABC is given by

[tex]sin24 = \frac{AC}{AB}[/tex]

⇒[tex]sin24=\frac{45}{d}[/tex]

⇒ [tex]0.406=\frac{45}{d}[/tex]

⇒ [tex]d =\frac{45}{0.406}[/tex]

⇒[tex]d = 110.64 feet[/tex] or [tex]111feet[/tex]

Hence, the actual distance of your from the stage is 111 feet.

Learn more about angle of depression here:

https://brainly.com/question/13514202

#SPJ2

Help me find the C and when the total cost is $9000

Answers

Answer:

Step-by-step explanation:

14.
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m = -6/5

A. y – 7 = -6/5(x + 3)
B. y + 3 = -6/5(x + 7)
C. y – 7 = -6/5(x – 3)
D. y + 7 = -6/5(x + 3)

Answers

Answer:

D. y + 7 = -6/5(x + 3)

Step-by-step explanation:

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

If a = –2.6, what is the value of –a?


2.6


2


–2


–2.6

Answers

Answer:

2.6

Step-by-step explanation:

If a = -2.6 then -a = -(-2.6) = 2.6

whats is the answer to the problem

Answers

its D, they go down the y axis 5, and go right on the x axis 4

There are ______ decigrams in 14 hectograms.

Answers

Answer:

14000

Step-by-step explanation:

BRAINLIEST PLSSSSS

Answer:14000 decigrams

Step-by-step explanation:

Need help now please please

Answers

Iv the length of line segment

Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is a function.

plz help ill give brainliest !!!!!Which expression is equivalent to 6(g + 7)?
42g + 6
6g + 42
42g
13g

Answers

Answer:

6g+42

To be certain, expand the brackets; (6×g) (6×7)

Step-by-step explanation:

A cheerful teen willing to help,

have a splendiferous day/night ahead!

stay salty...

Answer:

6g + 42

Step-by-step explanation:

[tex]6(g + 7)\\\rule{150}{0.5}\\\rightarrow 6 * g = 6g\\\\\rightarrow 6 * 7 = 42\\\\\rightarrow 6(g+7) = \boxed{6g + 42}[/tex]

In this line circles the ratio of red circles to blue is 1:3 . How many more red circles would need to be added to make the ratio of red and blue 3:1?

Answers

Answer:

take two blue away and add two red

Step-by-step explanation:

Other Questions
Please help me solve this problem ! What's the boiling point of water at 0 atmospheric pressure? what is nonsense poem and why write nonsense poem? Select all of the mechanisms that could have resulted in the evolution of various combinations of exons, giving rise to different genes.Check All That Applyexon lossexon duplication5' cappingmutations in the splicing mechanismDNA mutationstRNA shuffling chikos cuanto es 5+5? es para una tarea plis 9. Which character is the last to hear about Juliet's supposed death?This is on Romeo and Juliet someone please help me and quick this is a Major test grade Lin runs 5 laps around the track in 6 minutes how many minutes per lap is that 3. What are the two types of movement? (Choose two.)the path of a viewer's eyes around an artworkthe sense of action in an artworkthe sense of emotion in an artworkthe path of a line an artist makes in an artwork A hot air balloon is filled with 1.19 x 106 L of an ideal gas on a cool morning (11 C). The air is heated to 113 C. What is thevolume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon. Mr. Smith asked his students whether they prefer to go to the museum or the zoo for a field trip. He found that 35% of the students prefer to go to aa museum, 45% prefer to go to the zoo, and the rest have no preference. What is the Ratio of students who have no preference to the students who prefer to go to the museum? Please help me with this math problem!! It is the last problem that I have to do!!No links please!! Due tonight!! ASAP!! Round 954513 to the nearest hundred thousand,954,513NumberNearest hundredthousand Cmo te imaginas la vida de Quasimodo en la capital? Why did Sun Yat-sen eventually return to China?He wanted to organize a rebellion after Yuan Shikai declared himself emperoO He wanted to rebuild the Chinese Nationalist Party after Yuan Shikai died.O He hoped to establish a new ruling dynasty with himself as emperor.He wanted to prevent Chiang Kai-shek from taking power in China.WILL GIVE BRAINEST Leo bought 6 beach balls and a bathing suit. Leo knows that he was charged $15.00 for the bathing and that the total bill before tax was 45.00 . Write and solve an equation to determine how much Leo was charged for each beach ball. Victor Mineli, the new controller of Blossom Company, has reviewed the expected useful lives and salvage values of selected depreciable assets at the beginning of 2017. Here are his findings:Type ofAssetDateAcquiredCostAccumulatedDepreciation,Jan. 1, 2017Useful Life(in years) OldUseful Life(in years) ProposedSalvage ValueOldSalvage ValueProposedBuildingJan. 1, 2009$700,000$129,9004048$50,500$35,100WarehouseJan. 1, 2012115,00022,10025204,5003,000All assets are depreciated by the straight-line method. Blossom Company uses a calendar year in preparing annual financial statements. After discussion, management has agreed to accept Victor's proposed changes. (The "Proposed" useful life is total life, not remaining life.)(a) Compute the revised annual depreciation on each asset in 2017. (Round answers to 0 decimal places, e.g. 125.)BuildingWarehouseRevised annual depreciation$ _____$ _____ what is 2 divided by 1/3 Most animals living in the ___ rest during the day and are more active at night.A. TundraB. TalgaC. DesertI'd appreciate if you could answer this fastly as you can! Giving 20 points What is the dominant factor behind the location of population settlements in Southwest Asia and North Africa What reason is given to explain why your test disappeared? The text disappeared as a result of