What is the length of the altitude of the equilateral triangle below?

A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

What Is The Length Of The Altitude Of The Equilateral Triangle Below? A: 32 B: 8 : 3 C: 4D: 4 : 3E: 1F:

Answers

Answer 1

Answer:

D

Step-by-step explanation:

AP3X

pog

Answer 2

The altitude of the triangle is 4√3 which is the correct option (D)

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

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Related Questions


Write your answer with a positive exponent only.

Answers

Answer:

1/z

Step-by-step explanation:

(z^-6)/(z^-5)

=[(z^(-6+5)]

=z^-1

=1/z

2(x + 4) - 6 = 5x - 17

Answers

Answer:

x=6.3  :)

Step-by-step explanation:

2(x+4)-6=5x-17

2x+8-6=5x-17

2=3x-17

19=3x

19/3=6.3

Answer:

2(x+4) -6 = 5x-17

2x + 8 - 6 = 5x - 17

8 -6 + 17 = 5x - 2x

2 + 17 = 3x

19 = 3x

divide both side by the coefficient of x which is 3

19/3 = 3x/3

x = 19/3

x = 6 1/3. or 6.33

What is the constant rate of this? Please show your work.

Answers

Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

7 Chris needs to cut a roll of twine into 16 equal lengths for a
project. If the roll of twine measures 900 inches, how long
will each length of twine measure?

Answers

Answer:

I am pretty sure it is 56 because all you have to do is dvided and it comes out to 56.25 but you cant have .25 because that is not an equal peice so yeah I think it is 56

Answer:56.25

Step-by-step explanation:I had same problem it was correct

cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.

18 + ?t = 24

What number should be the coefficient of t?

Answers

Answer:6

Step-by-step explanation:

Answer:

6 would be the coefficient

Step-by-step explanation:

So what we are trying to do is solve for t.

18 + t = 24

-18         -18

t = 6

It would take 6 hours to fill the container.

Hope that helps and have a great day!

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?

Answers

Answer:

3.5

Step-by-step explanation:

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6

rearrange

1, 1, 2, 2, 2, 5, 5, 6, 9, 9

2+5=7

7/2=3.5

Answer:

its either 3.5

Step-by-step explanation:

1, 1, 2, 2, 2, 5, 5, 6, 7, 9, 9 basically see which number is in the middle basically  your adding the middle and then dividing by 2 and eureka...

Solve this equation for B: A=BC+D

Answers

Step-by-step explanation:

Simple algebra

A=BC+D

A/C=B+D

(A/C)-D=B

7)
Lenny accidentally drops his matchbox car into a graduated cylinder. The car has a mass of 10 grams and the water level in the cylinder rises from 41 ml to 46 ml. Determine the density of the matchbox car. The formula for density is D =
m
v
.
A) 0.5 g/ml
B) 2 g/ml
C) 15 g/ml
D) 50 g/ml

Answers

Answer:

B

Step-by-step explanation:

PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!

Answers

Answer:

i want to see david not mark

Step-by-step explanation:

duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!

Answer:

I'm pretty sure its 5...

Find the slope of the line through points (3, -8) and (0.4). *​

Answers

Answer:

slope is -4

Step-by-step explanation:

To find the slope with points, you do (y2-y1)/(x2-x1)

4-(-8)=12

0-3=-3

12/-3=-4

M=-4
Pls mark me brainliest

please need help by october 31, 2020 help!!!!!!

Answers

Answer:

1.)c=±√58

Step-by-step explanation:

According to Pythagorean theorem, square of the hypotenuse is equal to the sum of the squares of other two sides

a^2+b^2=c^2

Short sides-a and b

Long side=c

I will do number 1 for you as an example.

A=3

B=7

C=x

3^2+7^2=c^2

58=c^2

Dont forget to square 58

c=±√58

what is 14.876 - 4.96

Answers

Answer:

9.916 is the answer

the answer is 9.916 can i get brainliest please

1) Relacione o nome dos polígonos de acordo com o total de lados. a) Triângulo ( ) 8 lados. b) Quadrilatero ( ) 6 lados. c) Pentágono ( ) 7 lados. d) Hexágono ( ) 3 lados. e) Heptágono ( ) 4 lados. f) Octógono ( ) 5 lados. 2) O ângulo reto , também conhecido como ângulo de um quarto de volta mede:. a) 90° b) 180° c) 270 ° d) 360 ° 3) O ângulo que mede menos 90 ° e mais de 0° é chamado de : a) agudo b) raso c) reto d) obtuso. 4) Um teatro 64 fileiras de poltronas e cada fileira tem 35 poltronas. Qual é a lotação desse teatro? 5) André e Federico fizeram 28 pacotes contendo 180 bandeirinhas cada pacote . Quantas bandeirinhas os meninos fizeram ? 5) Calcule : a) 861 x 27= b) 798 x 45=

Answers

Answer:

1

O nome de um polígono é um nome que se deve ao número de lados que o polígono possui.

a) Triângulo = 3 lados.

b) Quadrilátero = 4 lados.

c) Pentágono = 5 lados.

d) Hexágono = 6 lados.

e) Heptágono = 7 lados.

f) Octógono = 8 lados.

2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 °

3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a) agudo

4) 2240

5) 5040 sinalizadores

6) Calcule: a) 861 x 27 = 23247

b) 798 x 45 = 35910

Step-by-step explanation:

1) Liste o nome dos polígonos de acordo com o número total de lados.

a) Triângulo = 3 lados.

b) Quadrilátero = 4 lados.

c) Pentágono = 5 lados.

d) Hexágono = 6 lados.

e) Heptágono = 7 lados.

f) Octógono = 8 lados.

2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 ° b) 180 ° c) 270 ° d) 360 °

= a) 90°

Um triângulo ângulo reto pode ser definido como um triângulo onde um de seus 3 ângulos é equivalente a 90 graus (90°).

3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a ) agudo b) raso c) reto d) obtuso.

Um ângulo maior que 0 ° e menor que 90 ° pode ser definido como um ângulo agudo.

= a) agudo

4) Um teatro com 64 filas de assentos e cada fila tem 35 assentos. Qual é a capacidade deste teatro?

No teatro, cada fila tem 35 lugares.

Temos 64 linhas

O número total de licenças que temos é calculado como:

1 fila = 35 assentos

64 linhas =

Multiplicação cruzada

64 filas × 35 assentos

= 2.240 assentos.

Portanto, a capacidade do teatro é de 2240.

5) André e Federico confeccionaram 28 embalagens contendo 180 bandeiras cada embalagem. Quantas bandeiras os meninos fizeram?

O número de bandeiras que os meninos fizeram é calculado como:

28 pacotes × 180 bandeiras

= 5040 sinalizadores

6) Calcule: a) 861 x 27 = 23247

b) 798 x 45 = 35910

Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)

Answers

Answer:

y = 2/5x - 1/5

Step-by-step explanation:

The first step is to find the slope. We can do this by doing y2- y1/x2 - x1, you can name any number 1 or 2 as long as the x and y are right.

-1 - (-3)/-2 - (-7) = 2/5

Now that we know that the slope is 2/5 we can use the formula

y - y1 = m(x - x1)

y + 3 = 2/5(x +7)

y + 3 = 2/5x + 2 4/5

y = 2/5x - 1/5

 A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

Help ya girl out with this one please ASAP <3

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

[tex]6x+6x-7=5\\12x-7=5\\12x=12\\x=1[/tex]

find the value
f(-7)

Answers

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

Do answer C

Step-by-step explanation:

Have a conco with me in the comments please

Answer:

A. M

B. P

C. R

D. Q

Step-by-step explanation:

M = -8

N = -5

P = 0

Q = 8

R = 10

S = 11

what is -4x+6y=21 on the graph

Answers

Answer:

Step-by-step explanation:

8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5

Answers

Answer:A 4n+1

Step-by-step explanation: found the answer key

If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).

aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, The first term of an arithmetic sequence is 5.

The third term of the sequence is 13.

As we can conclude that for 2 terms the common difference is increased by 8.

∴ Common difference (d) = 8/2 = 4.

Now, we know the nth term of an arithmetic sequence is,

aₙ = a₁ + (n - 1).d.

aₙ = 5 + (n - 1)×4.

aₙ = 5 + 4n - 4.

aₙ = 4n + 1.

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which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)

Answers

Answer:

y = (1/2)x - 4

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

-3 = (1/2)(2) + b

-3 = 1 + b

b = -4

y = (1/2)x - 4

Question in the picture

Answers

Answer:

The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.

Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the
other. What equation would give the amount of time, t, it would take to run the tests if the technicians work
together to split the work on the different tests?

Answers

Answer:

The time it will take will be ;

t = (2x -6)/(x^2-6x)

Where x is the amount of time

in minutes taken by the technician who is slower

Step-by-step explanation:

We want to write the time it would take to run the tests if the technicians work together.

Let the time taken by the first technician be x minutes

The time that would. taken by the second is 6 minutes less which is (x -6) minutes

So if they work together, how long will it take?

That would be ;

t = 1/x + 1/(x-6)

t = (x + x -6)/(x(x-6))

t = (2x -6)/(x^2 -6x)

The time it will take if they both work together is ;

t = (2x -6)/(x^2-6x)

where x minutes is the amount of time taken by the technician who is slower of the two

four friends use an online coupon to get a $15 discount on each concert ticket buy. they spent $312 for the four tickets. what was the price of one ticket without the discount?

Answers

one ticket without the discount is $93

A negative number is raised to an even exponent. The result is
zero
one
O positive
negative

Answers

Answer:

positive I guess that's the answer

Answer:

positive

Step-by-step explanation:

Simplify:

a)23p-7p
b)3ab-9ab+7ab

Answers

a) 16p

b) 1ab

hope i helped

Both lines on the graph represent proportional relationships. What is the constant
of proportionality for each relationship? Explain how you know.

Answers

Answer:

k = 3 and k = 1

Step-by-step explanation:

Given that the relationship is proportional then the equation relating the quantities is

y = kx ← k is the constant of proportion

To find k divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

For graph a use the point (2, 6 ), then

k = [tex]\frac{6}{2}[/tex] = 3

For graph b use the point (4, 4 ), then

k = [tex]\frac{4}{4}[/tex] = 1

Two​ pulleys, one with radius r 1r1 and the other with radius r 2r2​, are connected by a belt. The pulley with radius r 1r1 rotates at omega 1ω1 revolutions per​ minute, whereas the pulley with radius r 2r2 rotates at omega 2ω2 revolutions per minute. Show that StartFraction r 1 Over r 2 EndFraction equals StartFraction omega 2 Over omega 1 EndFraction r1 r2

Answers

Answer:

r1/r2 = 2ω2/ω1

Step-by-step explanation:

The velocity of each pulley is expressed as v = ωr where;

v is the linear velocity of the pulley

ω is the angular velocity of the pulley

r is the radius of the pulley.

For the two pulleys, the velocity I'd both pulleys are the same.

v1 = v2

v1 is the linear velocity of first pulley

v2 is the linear velocity of the second pulley.

v1 = ω1r1

v2 = 2ω2(r2)

r1 and r2 is the radius of pulley 1 and pulley 2 respectively.

Since v1 = v2

ω1r1 = 2ω2(r2)

Divide both sides by r2

ω1r1/r2 = 2ω2(r2)/r2

ω1r1/r2 = 2ω2

Divide both sides by ω1

ω1r1/r2/ω1= 2ω2/ω1

r1/r2 = 2ω2/ω1

I do not know which formula is being used for this question, please answer step by step thanks!

The Hudson Record Store is having a going-out-of-business sale.CDs normally sell for $18.00.During the first week of the sale, all CDs will sell for $15.00.Written as a fraction, what is the rate of discount?What is the rate expressed as a percent?Round your answer to the nearest hundredth of a percent.During the second week of the sale, the same CDs will be on sale for 25% off the original price.What is the price of a CD during the second week of the sale?

Answers

Written as a fraction, what is the rate of discount?

Original Price = $18

Discounted Price = $15

Discount is $3 as 18-15 is 3.

As a fraction, the discount rate is $3/$18 also equal to $1/$6

What is the rate expressed as a percent? Round your answer to the nearest hundredth of a percent.

1/6 is approximately 0.167

0.167 = 16.67%

As a percent, the discount rate is 16.67%

During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?

Using the formula,  Amount of Discount = Discount Rate · Original Price we can find the amount of discount for the 2nd week.

Let x be the amount of discount.

x = 25% · $18

x = $4.50

The amount of discount is $4.50

Calculate the cost of the CDs during the second week: $18 - $4.50 = $13.50

The price of a CD during the second week of the sale is $13.50

You're in the business of supplying snacks to school canteens. The process involves procuring the ingredients (raw materials); cooking the snacks in a two-room place, for which you pay rent; and supplying the snacks to 50 school canteens, using your personal car. You have hired six workers, and you pay them on an hourly basis. How would accounting help you run this business?

Answers

Step-by-step explanation:

Alright on accounting you might want to take into consideration the following

based on the production and delivery process

1. The cost of ingredient/raw material

2. the cost of rent for the two rooms

3. the cost of logistics for transporting the products

4. the payment per hour for 6 workers

With all the above well accounted for, it will help you have a perfect record of expenses and the total cost of production, you can then estimate the cost of producing a unit of the snacks.

You can then estimate the the revenue to be generated based on the price tagged on one unit.

Also, you can estimate the break even point based on a properly accounted business

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