Find the height of an equilateral triangle whose perimeter is 24

Answers

Answer 1

Answer:

[tex]h = 4\sqrt{3}[/tex]

Step-by-step explanation:

If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8

Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4

So we have [tex]h^2 + 4^2 = 8^2[/tex]

[tex]h^2 = 48[/tex]

[tex]h = 4\sqrt{3}[/tex]


Related Questions

please help me i need it fast

Answers

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

help plz dont have much time​

Answers

Answer:

B!

Step-by-step explanation:When you distribute the 3 among the x and 1 you will get 3x+3.

You'd add that three to the five and then end with

y= 8x+3

B - y(8x + 3)

Simplify y=3(x+1) + 5x
y = 3x+3+5x
y = 8x+3

A traingle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?

Answers

Answer: A (-2,0) --> (-8,0)

B(-4,4) --> (-16,16)

C(1,6)--> (4,24)

Step-by-step explanation:

Multiply each coordinate by 4

A (-2,0) --> (-8,0)

B(-4,4) --> (-16,16)

C(1,6)--> (4,24)

The new locations of the coordinates after dilation by a scale factor of 4 as

A (-2,0) ⇒ (-8,0)

B(-4,4) ⇒ (-16,16)

C(1,6) ⇒ (4,24)

What is dilation?

Dilation is a process for creating similar figures by changing the size.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

As we know dilation factor is the ratio of sides in the original image and the image after dilation.

Dilation factor = 4

Multiply each coordinate by 4

A(-2,0) ⇒ (-8,0)

B(-4,4) ⇒ (-16,16)

C(1,6) ⇒ (4,24)

Learn more about the Dilation here:

brainly.com/question/13176891

#SPJ5

Natalie invests $6,000 into a brokerage account which earns 5% per year. In 10 years, how much will Natalie's investment be worth if interest is compounded continuously? Round to the nearest dollar.

Answers

Answer:

63076.27

Step-by-step explanation:

Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa ao redor da Terra, qual a sua velocidade média em m/s (metros por segundo)

Answers

Answer:

7.8. 10 ^ 3 m / s

Step-by-step explanation:

The computation of the average speed in m/s is shown below:

The average speed equation is

= ΔS ÷ Δt;

As We know that

an entire revolution would be40,000 km

and a satellite takes 85 minutes to complete a revolution,  

So,

ΔS = 40,000 km = 40,000,000 m

Δt = 85 min = 5 100 s

Now the average speed is

= 40 000 000 ÷ 5 ÷ 5 100

 = 7843.14 m / s

= 7.8. 10 ^ 3 m / s

A community theater uses the function p(d)= -5d²+300d -200 to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each: Part A: Write and solve an equation to find out the prices at which the theater would earn $2,300 in profit from the comedy show each weekend. Show your reasoning Part B: At what price would the theater make the maximum profit. and what is that maximum profit? Show your reasoning.​

Answers

Answer:

A. $66.33B. $4300

Step-by-step explanation:

Given function:

p(d)= -5d² + 300d - 200 Part A

p(d) = 2300, find d:

2300 = -5d² + 300d - 200 5d² - 300d + 200 - 2300 = 05d² - 300d - 2100 = 0d² - 60d - 420 = 0d²- 2*30d + 900 = 1320(d - 30)² = 1320d- 30 = √1320d = 30 + 36.33d = 66.33 Part B

Maximum point of the function is obtained at vertex, which is (x = -b/2a):

d = - 300/-10 = 30

The maximum profit is:

p(30) = -5(30)² + 300(30) - 200 = 4300

Trevor pet goat weighed 6 3/ pounds when oit was born. By age 3 the goat weighted 8 times as much. Fill in each box with a number or sysmobe to answer tthis question.

Answers

Answer: 51 pounds

Step-by-step explanation:

Since the goat weighed 6 3/8 pounds and weighed 8 times as much by age 3, the weight of the goat at age 3 will be gotten by multiplying 6 3/8 by 8. This will be:

= 6 3/8 × 8

We change 6 3/8 to an improper Fraction

= 51/8 × 8

= 51 pounds

The weight is 51 pounds

hii please help i’ll give brainliest

Answers

Answer:

B) 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A researcher begins an experiment with 50 bacteria. She notices each bacterium triples every hour. Which equation best represents this scenario?


A. y=3(50)x

B. y=3x+50

C. y=50(3)x

D. y=3x+50

Answers

Answer:

A. y=3(50)x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Part C: If HI = 7, find KL. Show your work.

Answers

Answer:

KL= 14

Step-by-step explanation:

4*2=8

5*2=10

7*2=14

In the school courtyard, there is an area
with
grass and an area with stones. The space for
stones is composed of a square and an
isosceles triangle. What is the area of the
grass?
Card
#6
Grass
17
44 m
12 m
25 m
Checked by Teacher
Final Answer
(Include Units.)

Answers

Answer:

Step-by-step explanation:

Please help I need this ASAP!

Answers

Answer:

41 1/5

Step-by-step explanation:

2 3/5 x 7 = 18 1/5

5 3/4 x 4 = 23

18 1/5 + 23 = 41 1/5

your answer is 8 7/20 or 167/20 . hope this helps please mark brainliest

What is the Range of the function

Answers

Answer: Pretty sure its A.  

Step-by-step explanation:

last math question for today!!!!​

Answers

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

Make a the subject of the formula v=u+at

Answers

Answer:

a = (v - u)/t.

Step-by-step explanation:

v = u + at

v - u = at

(v - u)/t = a.

Please resolve this is for today

Answers

Answer:

A Square plus B square equals

Step-by-step explanation:

T

find the value of given expression

[tex] \sqrt{35 \times 35} [/tex]

Answers

35 is the answer to the question

Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width x^2+4. What expression represents the area of the garden so that she knows how much soil to purchase? plsss helppp!!!!!!!!!!!!!

Answers

Answer:

A = (5x - 1) (x^2 + 4)

Step-by-step explanation:

Area = length × width

= (5x - 1) (x^2 + 4)

Does anyone knoe how to do this?? help

Answers

Answer:

A I'm Brainly

Step-by-step explanation:

xd xd xd xd XD

7m+9, for m=2.
What's the value of this equation

Answers

Answer:

replace m with 2 and do 7(2)+9

Can someone plzzz helppp meeee( don’t say click this link)

Answers

Answer:

22

Step-by-step explanation:

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

So...

0=31 divided by 22

0

22 remainder

0=22

22 is the arc's central angle.

:D

Plane X contains point C. Plane Y contains points A and
B.
How many planes exist that pass through points A, B,
and C?
Oo
O 1
O 2
3
Y
B
Intro

Answers

9514 1404 393

Answer:

  (b)  1

Step-by-step explanation:

Three points not on the same line uniquely define one plane.

Write the 1st, 2nd, 3rdand 18thterms for: A) Un= n2 + 4 B) Un = 6n + 5

Answers

Answer:

(a) [tex]U_1 =5[/tex]; [tex]U_2 = 8[/tex]; [tex]U_{18} = 328[/tex]

(b) [tex]U_1 = 11[/tex]; [tex]U_2 =17[/tex]; [tex]U_{18} = 113[/tex]

Step-by-step explanation:

Required

1st, 2nd and 18th terms

To do this, we simply substitute 1, 2 or 18 for n in the given equations

Solving (a):

[tex]U_n =n^2 + 4[/tex]

1st term: n = 1

[tex]U_1 =1^2 + 4[/tex]

[tex]U_1 =1 + 4[/tex]

[tex]U_1 =5[/tex]

2nd term: n = 2

[tex]U_2 = 2^2 + 4[/tex]

[tex]U_2 = 4 + 4[/tex]

[tex]U_2 = 8[/tex]

18th term: n = 18

[tex]U_{18} = 18^2 + 4[/tex]

[tex]U_{18} = 324 + 4[/tex]

[tex]U_{18} = 328[/tex]

Solving (b):

[tex]U_n = 6n + 5[/tex]

1st term: n = 1

[tex]U_1 = 6*1 + 5[/tex]

[tex]U_1 = 6 + 5[/tex]

[tex]U_1 = 11[/tex]

2nd term: n = 2

[tex]U_2 = 6*2 + 5[/tex]

[tex]U_2 =12 + 5[/tex]

[tex]U_2 =17[/tex]

18th term: n = 18

[tex]U_{18} = 6*18 + 5[/tex]

[tex]U_{18} = 108 + 5[/tex]

[tex]U_{18} = 113[/tex]

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?

Answers

Answer:

12 cups

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

answer is A ok my friend bye

can someone help me simplify this?​

Answers

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4​

Answers

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

PLEASE HELP
32=7-5x​

Answers

Answer:

x = -5

Step-by-step explanation:

25 = -5x

x = -5

32-7=25

25/5=5

5=x
that’s the answer

I need help in mathematics

Answers

Answer:

B. 75.36 cubic cm

Step-by-step explanation:

We will use the formula V=π times r² times h

so, V= 3.14 times 2² times 6

so, V= 3.14 times 4 times 6

= 3.14 times 24

=75.36 cubic cm

Please mark me as brainliest
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