The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)

Answers

Answer 1

Answer: its C

Step-by-step explanation:

Answer 2

The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.

What is an equilateral triangle?

The triangle in which all three sides are of the same length. In this the all angles are the same 60°.

The area of a triangle can be calculated by,

A = 1/2 x b x h..................1

Where,A - Area of triangle

b - base

h - height

From, Pythagoras Theorem

a² = h² + (a/2)²

h² = a² - (a/2)²

Put the value of “h” in equation 1

A = 1/2 x b x h

A = 1/2 x √[a² - (a/2)²] x h

A =  √3/4 a²

Since √3/4 = sin 60°.

So, the area of an equilateral triangle as a squared sine (60 degrees).

Learn more about the equilateral triangle;

brainly.com/question/14305983

#SPJ2


Related Questions

Helppppppppppppppppppppp due in 2hrs

plz watch for more questions

Answers

Answer:

2x = 3

Step-by-step explanation:

Here we have a balanced equation using the hanger method.

The left side shows two x'es, so the left side of the equation should be 2x.

The right shows three units with a value of "1", so the right side of the equation should be 3.

As a result, 2x = 3 is our final answer.


can someone help me pls?

Answers

1=3

2=6

3=9

11=?

3=9

11=x

x=9*11/3

x=33

The answer would be 33 because the equation is x*3=the output

Hope this helps

Have a great day/night

fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with

Answers

He started with 16 because he sold half so add half and that would be 16 ;)

Answer:

16 I think

Step-by-step explanation:

If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)

I hope this helped!

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2

Answers

the answer is y=1/2x+2

Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
last one, .............

HELPPP what is 2x - 5 by the Square root of 9

Answers

2x-15 is the answer for 2x-5 sq 9

When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.

Answers

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:

SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT

Answers

Answer:

28cm

Step-by-step explanation:

7x4

or

7+7+7+7

Michelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.

Answers

Answer:

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Step-by-Step Explanation:

1 kilometer = 0.62137119 mile(s)

4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers

4,200 meters = 4.2 kilometers

670,000 centimeters = 6.7 kilometers

So,

Michelle = 2.8 kilometers (rounded up)

Kelly = 5.6 kilometers

Staci = 4.2 kilometers

Kyle = 6.7 kilometers

So,

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Hope this helps! ^^

Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?

Answers

10x= 5
x= 1/2
For every 2 newspapers he gets $1.
320/10 times 5
32 times 5
Answer:
$250

pls help me answer this :’)

Answers

Answer:

Commutative and multiplicative identity

Step-by-step explanation:

mark brainlyist



A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.
a
y= 3x
y= 0.25%
y= 4x
y= 12x

Answers

y=0.25x because 3=0.25(12)

I can do your homework for you

Answers

Answer:

thanks for the free points

Step-by-step explanation:

Answer:

can u answer these ones

Step-by-step explanation:

Can someone please explain to me how I would do this, I cannot figure out how to do this equation at all!!

Answers

Answer:

First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.

Answer:

The expression in simplified form:

[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{4x^5}{8x}[/tex]

We need to simplify the expression.

Simplifying the expression

[tex]\frac{4x^5}{8x}[/tex]

Cancel the common factor: 4

[tex]=\frac{x^5}{2x}[/tex]

Cancel the common factor

[tex]=\frac{x^4}{2}[/tex]

Therefore, the expression in simplified form:

[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]

Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)

Answers

Answer:

The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: [tex]m = \frac{1}{3}[/tex]

Finding y-intercept:

y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)

[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:

[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)

Answers

Answer:

(-1,0)

Step-by-step explanation:

Look to see which points have the same x value (in this case -1)

What is solution of 5(x - 3)=4(x + 2)

Answers

Answer:

x=23

Step-by-step explanation:

You simplify both sides of the equation, then isolate the variable.

Answer:

x=23

Step-by-step explanation:

The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

Answers

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

what is 5+1 please hurry

Answers

Answer: 6

Step-by-step explanation:

Which table represents a nonlinear function?

Answers

Answer: c

Step-by-step explanation:

You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x

Answers

Answer:

[tex]y = 4x + 6[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Fee = \$6.00[/tex]

[tex]Rate = \$4.00[/tex]

Required

Derive the linear equation

Let the number of games be x.

Let the total cost be y

So, if the rate of 1 game is $4

Then x games costs 4x

The total cost (y) is then calculated as:

y = Initial Fee + Cost of x games

Substitute values for initial fee and cost of x games

[tex]y = 6 + 4x[/tex]

Rewrite as:

[tex]y = 4x + 6[/tex]

3 which number line best represents 2÷1/4​

Answers

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?

Answers

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

If you spin the spinner, what is the probability of the pointer landing in the y section

Answers

Answer:

1/8

Step-by-step explanation:

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82


Q1. The volumes of two spheres are 640 cm3 and 270 cm3. Find the ratio of
their diameters. Plz help cie igcse math

Answers

Answer:

Formula

V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]

With V1 = 640 cm³ and V2=270 m³

[tex]\pi[/tex] = 22/7

=> You can substitute the numbers above to calculate R1 and R2

Step-by-step explanation:

Have fun

Answer:

[tex]\boxed{\text{\sf \Large 4:3}}[/tex]

Step-by-step explanation:

Volume of sphere=4/3πr³

1. 4/3πr³=640

  r=5.346018

  d=10.692036

2. 4/3πr³=270

   r=4.009514

   d=8.019028

Simplify ratio

10.692036 : 8.0190284:3

Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?

A.
B.
C.
D.

Answers

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

Answers

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

Learn more about the ratio visit:

https://brainly.com/question/169670

#SPJ2

A travelers ground speed is 2 feet per second against the walkway and 8 feet per second with the walkway, what is the travelers speed off the walkway, what is the speed of yhe walkway

Answers

Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

[tex]T - W = 2[/tex] --- (i)

[tex]T + W = 8[/tex] --- (ii)

Add (i) and (ii)

[tex]T + T - W + W = 2 + 8[/tex]

[tex]T + T = 2 + 8[/tex]

[tex]2T = 10[/tex]

Divide both sides by 2

[tex]\frac{2T}{2} = \frac{10}{2}[/tex]

[tex]T = \frac{10}{2}[/tex]

[tex]T = 5[/tex]

Substitute 5 for T in (ii)

[tex]T + W = 8[/tex]

[tex]5 + W = 8[/tex]

Make W the subject

[tex]W = 8 - 5[/tex]

[tex]W = 3[/tex]

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me

Answers

Answer:

The ratio is 20:30, or 2:3 in simplest form

Plzzzzz give me Brainliest!  

Answer:

2/5 or 40%

Step-by-step explanation:

20 out of fifty is hard so make it 40 out of 100 and it's easy 40%

Other Questions
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?A. 4 rolls B. 10 rolls C. 12 rolls D. 14 rolls (3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2) I was distractedAnd in trafficI didn't feel itWhen the earthquake happenedBut it really got me thinkin'Were you out drinkin'?Were you in the living roomChillin' watchin' television?It's been a year nowThink I've figured out howHow to let you go and let communication die outI know, you know, we knowYou weren't down for forever and it's fineI know, you know, we knowWe weren't meant for each other and it's fineBut if the world was endingYou'd come over, right?You'd come over and you'd stay the nightWould you love me for the hell of it?All our fears would be irrelevantIf the world was endingYou'd come over, right?The sky'd be falling and I'd hold you tightAnd there wouldn't be a reason whyWe would even have to say goodbyeIf the world was endingYou'd come over, right?Right?If the world was endingYou'd come over, right?Right?I tried to imagineYour reactionIt didn't scare me when the earthquake happenedBut it really got me thinkin'That night we went drinkin'Stumbled in the houseAnd didn't make it past the kitchenAh, it's been a year nowThink I've figured out howHow to think about you without it rippin' my heart outI know, you know, we knowYou weren't down for forever and it's fineI know, you know, we knowWe weren't meant for each other and it's fineBut if the world was endingYou'd come over, right?You'd come over and you'd stay the nightWould you love me for the hell of it?All our fears would be irrelevantIf the world was endingYou'd come over, right?The sky'd be falling while I'd hold you tightNo, there wouldn't be a reason whyWe would even have to say goodbyeIf the world was endingYou'd come over, right?You'd come over, right?You'd come over, you'd come over, you'd come over, right?I know, you know, we knowYou weren't down for forever and it's fineI know, you know, we knowWe weren't meant for each other and it's fineBut if the world was endingYou'd come over, right?You'd come over and you'd stay the nightWould you love me for the hell of it?All our fears would be irrelevantIf the world was endingYou'd come over, right?The sky'd be falling while I hold you tightNo, there wouldn't be a reason whyWe would even have to say goodbyeIf the world was endingYou'd come over, right?You'd come over, you'd come over, you'd come over, right?If the world was endingYou'd come over, right? Which organism would have the most biomassAntsBagerWolf True or false: a triad is a chord with 3 notes in it help me plz this is my last question finally! will mark brainliest Stevenson Corporation acquires a one-year old building at a cost of $500,000 at the beginning of Year 2. The building has an estimated useful life of 50 years. However, based on reliable historical data, the company believes the carpeting will need to be replaced in 5 years, the roof will need to be replaced in 15 years, and the HVAC system will need to be replaced in 10 years. On the date of acquisition, the cost to replace these items would have been carpeting, $10,000; roof, $15,000; HVAC system, $30,000. Assume no residual value. Required: Determine the amount to be recognized as depreciation expense in Year 2 related to this building. Communication may account for as much as. Of a hiring decision a 25%b. 40%C65%d. 80% Can someone help me with this? Hey I need some help here! 6x +2 (5x -6) Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.A. about 30 minB. about 26 minC. about 44 minD. about 24 min For many Texans, Reconstruction was not over until ___________ and the Radical Republican legislature were no longer in office. a. Andrew Johnson b. Ulysses Grant c. Edmund Davis d. O.M. Roberts Please select the best answer from the choices provided A B C D Question is in picture below The world sugar production is 97,200,000Brazil produces 9.7% of this sugar Work out how much sugar brazil produces what does adapted mean? EASY I'LL GIVE BRAINLIEST!!!!Write an equation in two variables that shows the relationship between the time(t) and the distance(d) travelled.Moves right 2 metersevery 3 hours. Write the equation of the line in slope-intercept that has passes through the points and (4, -8). (-3, 27) (x+y)^4 I am trying to simplify this problem and am kinda confused by it What is the measurement of Angle JKL? *What is MLJKL? Enter your answer in the box(2x + 5)(3x - 6)ML find a fraction equivalent to 1/2