Find the altitude of an equilateral triangle whose perimeter is 18

Answers

Answer 1

Answer:

3√3 units

Step-by-step explanation:

We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.

[tex]\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18 \\\\\rm\implies a = 6 [/tex]

Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,

[tex]\rm\implies Altitude =\dfrac{\sqrt3}{2} a [/tex]

Plug in the value of a that is 6 , we will get ,

[tex]\rm\implies Altitude =\dfrac{\sqrt 3}{2} a \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6 \\\\\rm\implies Altitude = \sqrt3 \times 3 \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }[/tex]


Related Questions

PLSSS HELPPPP AYUDA PLSSS URGENT AS WELL PLSS PSL PSL evaluate this expression “(-7x^3 + 9x^2 - 3) x (-2x^2 - 5x + 6)???

Answers

Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18

Step-by-step explanation: You would need to simplify the expression by using distributive property.

what must be subtracted from 61 to get 5

Answers

Answer: 56

Step-by-step explanation:

Let x be the number that is supposed to be subtracted from 61.

Given

61 - x = 5

Add both sides by x

61 - x + x = 5 + x

61 = 5 + x

Subtract 5 on both sides

61 - 5 = 5 + x - 5

x = 56

Hope this helps!! :)

Please let me know if you have any questions

Use the information in the figure. If F=116, find E

58
32
116
64

Answers

Step-by-step explanation:

Given that,

m∠F = 116°

We have to find the value of mE.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, E and D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

m∠E = 32°

[tex] \\ [/tex]

~

Is (7,0) a solution to the equation y = x - 2?

Answers

Answer:

no

Step-by-step explanation:

because 7-7=0 and it doesn't subtract by 2

it is not equal to y=x-2

Answer:

no

Step-by-step explanation:

y = x-2

Let x = 7 and y=0

0 = 7-2

0 =5

This is not a true statement so (7,0) is not a solution

What should I write?​

Answers

Step-by-step explanation:

Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that

(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with

ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².

Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible

How do I do this question it is really hard

Answers

Answer:

Step-by-step explanation:

PLZ HELP!! ASAP PLZ!! NO FILES.

Answers

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

Solve for p.

19p–2p+16p+12=

18
p=

Answers

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6


Solve for X. Geometry

Answers

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

69 POINTS !!!!!!!
Which of the following describes the matrix?

[8 9 4]
[5 2 6]
[3 1 7 ]


3×3
3×9
9×3
2x3

Answers

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

in 16 years, Marissa will be five times older than she is today. How old is she?

Answers

Answer:

4

Step-by-step explanation:

1 5

2 10

3 15

4 20

i wrote it out

x+16=5x

16=4x

4=x

Marissa is currently four years old.

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.

Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

Let's represent Marissa's current age "x".

According to the given question, in 16 years she will be five times older than she is today, which we can express as:

x + 16 = 5x

Solving for x, we can subtract x from both sides:

16 = 4x

Dividing both sides by 4, we get:

x = 4

Therefore, Marissa is currently 4 years old.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

17. PLEASE HELP ME
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.

A. length = 16 yd, width = 22 yd

B. length = 16 yd, width = 10 yd

C. length = 22 yd, width = 16 yd

D. length = 10 yd, width = 16 yd

Answers

Answer:

b

Step-by-step explanation:

16x10=160

Your width should be 6yd longer so look at the options and see in which options the width is 6 yd longer. It is longer in option A and D, so this eliminates option B and C. Now that we know it’s not b or c, the width times the length should be 160. For option A the area is 352 not 160, so it’s not option A meaning it has to be option D. Just to check 10 x 16 is 160. So yes option d is your final answer. OPTION D. Hope this helps! Would really appreciate it I’ve given brainliest.

Evaluate: ab for a = 2 and b = 5

Answers

a:2 and b:5
an:2*5:10
ab=5×2ab=10answer is option c

please mark this answer as brainlist

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

Help pleaseee, I’ll give brainly!

Answers

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

PLEASE! I need Help. 50 POINTS!!

Answers

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

help me pleaseeeeeeeee​

Answers

5^2x common
5^2x(5+1)=150
5^2x=25
5^2x=5^2
2x=2
x=1

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Does the graph represent a linear expression?

Yes or No

Please answer fast!

Answers

Yes it does goes over the c axis

Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6

Answers

Answer:

x6−24x5+240x4−1280x3+3840x2−6144x+4102

Step-by-step explanation:

I don't know if this is right or not but there ig?

Can someone give me an example on how to solve non right angled triangles?

Answers

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

What is the probability of an event that is certain?

PLEASE HELPPP!!

Answers

Answer:

I think it would be 100%

Step-by-step explanation: because it is certain that means its going to happen

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

Answers

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

What is function?

A function is a relation between a dependent and independent variable.

We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the mathematical statement as -

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

We can write the given statement in the form of mathematical expression as -

{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]

Simplifying, we get -

{x} = {100/16} ÷ {54/23}/4

{x} = 100/16 ÷ 54/92

{x} = 100/16 x 92/54

{x} = 10.64

Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

To solve more questions on functions, visit the link below-https://brainly.com/question/30194223

#SPJ2

Factorize this and solve no p, q, s, t, w​

Answers

explanation:

all the questions are solved

in question no. s and t u need to divide the number in two different parts to slove

for no. w we can get two type of solution.

p and q u need to give the power of whole .

Becky bikes 6 miles in 24 minutes. At the same rate, how many miles would she bike in 60
minutes?

Answers

Answer:

10 miles

Step-by-step explanation:

6 in 24 min 6÷24=4

60÷6 =10

Answer:  15 miles

=======================================================

Here's one approach:

(6 miles)/(24 minutes) = (x miles)/(60 minutes)

6/24 = x/60

6*60 = 24*x

360 = 24x

24x = 360

x = 360/24

x = 15

She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.

-----------------------------

Here's another approach:

If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.

So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles

Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?

Answers

The type of budget that would likely work best for Brody is biweeky budget.

Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.

The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he  can schedule his expenses each time he receives his payment, in this way he  does not spend all his money before he receives the next payment.

Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.

Learn more in: https://brainly.com/question/141889

Note:

This question is incomplete because options are missing, here are the options.

Daily budget

Biweekly budget

Monthly budget

Weekly budget

Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12

Answers

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Answer:4 + 2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Have a great day! I hope this helps!! :)

Write and solve a word problem that can be modeled by addition of two negative integers.

Answers

Answer:

Step-by-step explanation:

Question:

Max needs to purchase a car and  withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?

Solution:

(-100) + (-50) =

-150

Answered by G a u t h m a t h

On a map, 1 in represents 420 miles. How much does 3/4 in represent?

Answers

Answer:

315

Step-by-step explanation:

420 x 3/4 = 315

Answer:

315 miles

Step-by-step explanation:

We can write a ratio to solve

1 inch          3/4 inches

------------   = ---------------

420 miles     x miles

Using cross products

1 * x = 420 * 3/4

x=315

Other Questions
Your best friend has just been suspended from school for truancy.write a letter to her expressing your displeasure and advising her to turn a new leaf explain chlorination of methane The English Channel is a(n) ______ between England and Europe.canalstraitisthmussea cho dy s a[] c n phn t v dy s b[]c m phn t l cc cc s nguyn dng nh hn 1000 . Gi tp hp A l tp cc s khc nhau trong a[], tp hp B l cc s khc nhau trong b[] The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific ten-hour period, one defective circuit board was found. (a) Find the probability that it was produced during the first hour of operation during that period. (Round your answer to four decimal places.) (b) Find the probability that it was produced during the last hour of operation during that period. (Round your answer to four decimal places.) (c) Given that no defective circuit boards were produced during the first five hours of operation, find the probability that the defective board was manufactured during the sixth hour. (Round your answer to four decimal places.) a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have If you were going to make an argument that students should be given more options for electives in high school, which statementwould logically go first?A)For example, David Walker has only been able to take one elective hisentire three year high school career: visual arts.B)If schools offered more electives, it is very likely that students who not beso resistant to attending school and investing in their education.C)Even though our school catalog has over thirty elective course offeringsListed, only ten of them ever actually make' or are officially put on theschool schedule.D) Because students have so many academic class requirements, manystudents are not able to take electives in fields they are passionate aboutor what to pursue as a career.D) One of the angles of a triangle is 110 and the other two angles are equal.What is the measure of each of these equal angles? necesito un resumen del cuento "las mentiras del fuego" de Liliana Bodoc. Alguien que me pueda ayudar? If anyone knows answer with steps that will be greatly appreciated :) Cu 27:I.. say this much for him; he's very generous.A. could B. may C. might D. will As compared to the circulatory system of most fishes, the circulatory system of adult amphibians has the advantage of a single circuit. partially-separate circuits for gas exchange and systemic delivery of blood. complete separation between oxygenated and deoxygenated blood. a four-chambered heart. a pocket of the gut that serves as an air bladder. Find the slope of the graphed line Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11. The source of sound moves away from the listener.The listener has the impression that the source is lower in pitch. Why? Maria is pregnant. During a visit to the doctor, she receives a list of potential concerns and an emergency number to call if she develops any signs or symptoms that could indicate a pregnancy complication. Which abnormal signs or symptoms might be on the list Maria received Whats v=(324pie)(3) When Bethany saw Timmy before her surgery, what did she say over and over? x-1/x > 1/2 (x>0;x>1) Help anyone can help me do this question,I will mark brainlest.