An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?

Answers

Answer 1

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.


Related Questions

find the measure of the indicated angle to the nearest degree​

Answers

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

Convert to p/q form

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]












.......plz answer it plz​

Answers

Answer:

a: x=90 b: x=45 y=45 c: y=68 x=68

Five consecutive multiples of 7 have a sum of 350. What is the smallest of these numbers?
A. 70
B. 56
C. 77
D. 84

Answers

Answer:

B. 56

Step-by-step explanation:

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

     - 70    - 70

_____________

5x = 280

x = 56

Hope this helps!

The smallest number is 56, the correct option is B.

What is Sum?

The sum is the output of the mathematical operation, Addition.

Let the first number is x, they are multiples of 7,

As they are multiples of 7, the consecutive numbers will be added by 7 for next term.

The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).

The equation can be formed for the numbers that are given as,

An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.

The sum of the multiples is 350

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

Grouping the variables and the constants separately

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

Adding (-70) to both sides of the equation

5x = 280

Dividing both sides by 5

x = 56

The value of the first number of the series is obtained.

The first value is the smallest number of the series.

To know more about Sum

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[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]

Answers

x-5 = 3-2x, 3x = 8, x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

Copy the right side of the given to the right side of the equation.

sqrt(x - 5) = sqrt(3 - 2x)            Square both sides.

x - 5 = 3 - 2x                             Add 2x to both sides

2x + x - 5 = 3                            Combine

3x - 5 = 3                                  Add 5 to both sides.

3x = 3 + 5                                 Combine

3x = 8                                       Divide by 3

x = 8/3

help me with math pls;(

Answers

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

Answer: 125 cm^3

please mark brainliest

A bus has velocity 20m/s towards east and another bus has velocity 15m/s in West direction.If they start to move from a point simultaneously.What distances do they covered in 2 minutes.​

Answers

Answer:

4,200 m or 4.2 km.

First bus: 2400 m

2nd bus: 1800 m.

Step-by-step explanation:

Their combines speed is 20+15 = 35m/s.

Distance = speed * time

2 minutes = 120 seconds so

D = 35 * 120

= 4200 m.

Splitting the distances:

The first bus covers 20 * 120 = 2400m

The second bus covers 15*120 = 1800m.

Answer:

4200m

Step-by-step explanation:

If two objects A and B are moving in the opposite direction with speed xm/s and ym/s respectively,then;

Relative speed =(x+y)m/s

: Relative speed = 20+15=35m/s

time =2min=160sec

DISTANCE=SPEED ×TIME

D=35×120=4200

4200m

Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers

A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2

Answers

none of them actually. the answer would be 10x - 3/2

Would be very happy if you helped.Don’t spam guys

Answers

[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]

Now

[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]

[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]

[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]

To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.

I don't understand this one

Answers

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?​

Answers

Answer:

y = 5/3x+2

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 - -8)/( -3 - -6)

    = ( -3+8) / (-3+6)

    = 5/3

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

Substituting the point (-3,-3)

-3 = 5/3(-3) + b

-3 = -5+b

-3+5 = b

2 = b

y = 5/3x+2

Given points

(-6,-8)(-3,-3)

First find the slope

[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]

Now

[tex]\boxed{\sf y=mx+b}[/tex]

[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto b=2[/tex]

Hence the equation will be

[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]

A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team

Answers

Answer:i would say 2 differentt teams where there is more then women than men in the team

Step-by-step explanation:

well how i came to this answer is that the team is limited to only 5 people giving the only team where there is more women over men is this first team would be 4 women and 1 men , second team would be 3 women and 2 men anything lower then 3 make its where the team has more men than women so the only options would be 2 team where either they go with 4 women or 3 women and you can't go with more then 4 because then there would be no men in the team which is what the question asks for please go with 2 teams

if this helps please make me brainlist ?!

which of the following is equal to square root ^3 square root 2

Answers

Answer:

[tex]2^{\frac{1}{6} }[/tex]

Step-by-step explanation:

(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6

upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?

Answers

The Annuity payment will be "65,209.35 Taka". A further solution is provided below.

Given:

Monthly payment,

= 3000 Taka

Interest rate,

= 6% (compounded monthly)

Time,

= 18 years

The Future value will be:

→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]

By putting the values, we get

         [tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]

         [tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]

         [tex]=1,162,059.58 \ Taka[/tex]

hence,

The Annuity payment will be:

→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]

      [tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]

By substituting all the values, we get

      [tex]=65,209.35 \ Taka[/tex]

Thus the correct answer is "65,209.35 Taka".

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Twice a number decreased by 39 is five times the sum of the
number and 2 times the number. Find the number.

Answers

Answer: x=-3

Step-by-step explanation:

2(x)-39=5(x+2x)

2x-39=5(3x)

2x-39=15x

-39=13x

-39/13=-3

Math models helpppp plss if you know about math models answer this pls

Answers

Answer:

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.

Please help !!!!!!!!!!!

Answers

Answer:

98°+62°+6x = 180

160+6x = 180

6x = 180 - 160

6x = 20

x= 20/6

x= 3.33

therefor your answer is 3.33

A scientist started with a sample of 8 cells. The sample increased as shown in the table.



Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?

A
8⋅t4=100,000

B
8⋅4t=100,000

C
4⋅t8=100,000

D
4⋅8t=100,000

Answers

Answer:

100000 = 8 (4) ^t

Step-by-step explanation:

We are multiplying by 4 each time

y = a (4)^t

The initial amount is 8

y = 8 (4)^t

We want to get to 100000

100000 = 8 (4) ^t

Answer:

B

8 ⋅ 4^t  = 100,000

Step-by-step explanation:

a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours

Answers

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

2x - y - 4 = 0

3x + y - 9 = 0

What is the solution set of the given system?

A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}

Answers

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

You move down 5 units and up 5 units. You end at (1,3). Where did you start?

Answers

Answer:

(1, 3)

Step-by-step explanation:

Since up and down are opposites, the point didn't move at all.

I hope this helps!

pls ❤ and mark brainliest pls!

Nina is making pink candles to use as decorations on Valentine's Day. She melts red and white wax together and pours them into a heart-shaped mould. Then, she melts double the amount of red wax and double the amount of white wax together and pours them into a flower-shaped mould. Which candle is a lighter shade of pink?

Answers

Answer:

answer is neither, they are both the same shade.

Step-by-step explanation:

if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)

Answer:

Neither.

Step-by-step explanation:

Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.

Is -√15 an imaginary or irrational number?

Answers

Answer:

irrational

[tex]\sqrt{-15}[/tex] would be imaginary

Step-by-step explanation:

Hey there! I'm happy to help!

An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.

An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:

i²=-1

so

√-1=i

We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.

We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....

Have a wonderful day and keep on learning :)

hi, please solve these three questions for me, i have to shoe solving steps.​

Answers

question 3

Step-by-step explanation:

i only able to show you the step of question 3..so sorry

A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80

Answers

C) is the answer 1800/36=50

Geometry, please answer question ASAP

Answers

Answer:

C.

Step-by-step explanation:

A concave polygon must have atleast an internal angle which is greater than other angles.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

PLS HELP ME ON THIS QUESGTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range

Answers

Answer:

D. Range

Step-by-step explanation:

The definition of range is as the question says, and we can also use the process of elimination to make sure it's not the others.

A mean is the average of a data set.

A mode is the item that appears the most times.

And a median is the middle number.

As you can see, A, B, C all don't fit the given statement in the question, so it is D. Range.

I hope this helped! :D

Select the correct answer.

Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?

A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3

Answers

Answer:

C

Step-by-step explanation:

Given

10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides

30x + 20 > 14x - 28 ( subtract 14x from both sides )

16x + 20 > - 28 ( subtract 20 from both sides )

16x > - 48 ( divide both sides by 16 )

x > - 3 → C

abio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points as Carlos. Fabio scored 313131 points in the game.Write an equation to determine the number of points (c)(c)(, c, )Carlos scored in the last game.

Answers

Answer:

The equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Step-by-step explanation:

We are given with,(I think every number is repeating for 3 times. So, I took each number as once)

Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.

Let Carlos scored in the last game as "C".

So, we can set up equation for Fabio had 7 less than 2 times Carlos as

Fabio= 2C-7

Like so for Fabio score 31 as

Fabio =31

So, substitute Fabio as 31 into the first equation, we get

31= 2c-7

So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system

Answers

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

How many solutions do a system of linear lines have?

A system of equations, involving two linear lines has solutions as follows:

Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.

How to solve the question?

In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.

We are asked to comment on her conclusion.

To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.

Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.

Thus, the slope for:-

Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.

Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.

Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

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