the perimeter of an equilateral triangle is 6cm find its area

Answers

Answer 1

Answer:

√3 cm

or

1.73 cm to the nearest hundredth.

Step-by-step explanation:

Each side must be 2 cm long

Using Heron's formula

Area = √(s(s-a)(s-b)(s-c)  where s = semi-perimeter, a , b and c are the 3 side lengths.

So here s = 6/2 = 3 and all the sides = 2 so

Area  = √(3(3-2)^3

         =  √3 cm.


Related Questions

Alice has five cards each with a number on them. Three of the numbers are shown. 3 8 5 ( I found another 5 as the mode is 5) 5 The mode of the five numbers on the cards is 5 The mean of the five numbers on the cards is 6 Work out the range of the five numbers on the cards. You must show your working.​

Answers

Answer:

last number is 9; range is 3-9

Step-by-step explanation:

since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)

Convert each number from real to scientific notation.

11) 0.00006228

12) 0.00007243

13) 13,760

14) 839.1

15) 0.00006324

16) 0.003136

17) 0.00009435

18) 0.0006437

19) 0.001232

20) 0.007955

Answers

Answer:

6.228×10-⁵

7.243 × 10-⁵

1.376 ×10⁴

8.391×10²

6.324×10-⁵

3.136×10-³

9.435×10-⁵

6.437×10-⁴

1.232×10-³

7.955×10-³

At the school football game, there are 42 adults
sitting in the bleachers. the ratio of adults to
students in the bleachers is 7 to 9. how many
students are sitting in the bleachers?

Answers

Answer:

54 students

Step-by-step explanation:

42 / 7 = 6

9 x 6 = 54

42 : 54 = 7 : 9

Colleen owns a house. In the house, on a tile floor is a throw rug and a heavy decorative urn. Most likely to meet the definition of a fixture is Group of answer choices the urn. the throw rug. the tile floor. None of them are fixtures

Answers

The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.

What is a fixture?

A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.

To learn more about fixtures, please check: https://brainly.com/question/14936262

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4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The product of a whole number and a decimal number is a whole number 3. The product of two decimal numbers less than 1 is greater than either factor 4. The product of a number multiplied by 0.1 is 10 times as much as multiplying the same number by 0.01. ​

Answers

Answer:

1. Never

2. Sometimes

3. Never

4. Always

Step-by-step explanation:

hope this helps

4. If the diameter (across) is 30 cm, what is the measure of the radius? 30 cm Hint: The radius is 1/2 the diameter d=21.​

Answers

Answer:

If the diameter is 30 cm, the radius is 15 cm

Step-by-step explanation:

What is the diameter of a circle?

It's a straight line that runs from one side of the perimeter through the center to the other side of the perimeter.

The hint is exactly correct, the radius is a half of the diameter, or the diameter is 2 times the radius.

If the diameter is 30cm, the measure of the radius is 30 ÷ 2  ( = 15)

please help!!

-1,-6
1,-2
3,2

write the equations of a liner function that had a y-intercept greater than the function represented in the table and is parallel to the function y+ 1/4x=2

Answers

to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]

[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so the equation in the table has a y-intercept of -4.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.

that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.

so hmmm what's greater than -4?  hmm well, heck let's use -2

[tex]y = -\cfrac{1}{4}x - 2[/tex]

Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.​

Answers

Answer:

Both object will fall at the same speed

Step-by-step explanation:

Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones

Share 48 in the ratio 4:2

Answers

Answer:

48: 24

Step-by-step explanation:

divide.

How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?​

Answers

Answer: 266

Step-by-step explanation:

Area of floor 3.8 × 2.8 = 10.64m²

Tiles 0.2m × 0.2m = 0.04m²

Number of titiles = 10.64/0.04

you take a student loan of $60,000 to go to a private college. interest is 5.5% compounded monthly. The life of the loan is 20 years. How much is the total cost of the loan

Answers

Answer:

637 DOLLARS

Step-by-step explanation:

have a good day

"Given m = -2/5 and b = -7, write the equation of the line containing these points"
can someone help?​

Answers

Answer:  y = (-2/5)x - 7

This is the same as writing [tex]y = -\frac{2}{5}x-7[/tex]

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

Explanation:

Any linear equation is of the form y = mx+b, known as slope-intercept form

m = slope

b = y intercept

We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7

(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)

Answers

Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.

Answers

141.4 would be your answer

Find the volume of the cylinder in terms
of pi
8 m
3.8 m
Answers
60.8
57.76
438.98
115.52

Answers

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

➟ Height of cylinder = 8 m➟ Radius of cylinder = 3.8 m

We need to find the volume of cylinder :

➟ Volume of cylinder = πr²h

Substituting all the given values in the formula to find the volume of cylinder :

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]

[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 115.52 m³.

[tex] \rule{200}2[/tex]

Let k = 7.

Drag the expression into the box that makes the comparison true.

Answers

Answer:

k^2 ÷ k^2 the third one is correct

5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth

Answers

Answer:

03.97655 that will be there for answers

how many turtles die every year because of humans?

save the turtles

Answers

Between 30% to 44% every year

Answer:

We found, based on beach strandings, that more than 1,000 turtles are dying a year, after becoming tangled up, but this is almost certainly a gross underestimate. Young turtles and hatchings are particularly vulnerable to entanglement.” In recent years, global turtle population numbers have been falling.

Please help me on this!

Answers

Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?

A. 30

B. 29

C. 28

D. 27

ANSWER: B. 29

#learnalways #brainly

Step-by-step explanation:

Hope it's help

Brainliest

#Follow

What is the inverse of the function f(x)=-1/2(x+3)?

Answers

The inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]

What is an inverse function?

An inverse function is a function that serves as an eliminator of a given function.

A function that has an inverse is called invertible function and it is denoted as [tex]f^{-1}[/tex].

Analysis:

let y = [tex]\frac{-1}{2(x+3)}[/tex]

so that,

2y(x+3) = -1

2yx + 6y = -1

2yx = -1 -6

x = [tex]\frac{-1 - 6y}{2y}[/tex]

replacing y with x

[tex]f^{-1}[/tex](x) = [tex]\frac{-1-6x}{2x}[/tex]

In conclusion, the inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]

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How do I find a point on the line whose equation is 3x-8y=54

Answers

An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.

Let the value of x be 5.

3x-8y=54

3(5)-8y =54

15-8y = 54

-8y = 54 - 15

-8y = 39

y = -4.875

Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).

Learn more about Equation:

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7. Interest is compounded semianually. Find the amount in the account after the given time.

Answers

Answer:

$1,229.26

Step-by-step explanation:

Finding compound interest :

A = P (1 + r/n)^(nt)A = (1,000)(1 + 0.07/2)²⁽³⁾A = (1,000)(1.035)⁶A = (1,000)(1.22925533)A = $1,229.26

Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4

Answers

A a^2 you wlc I think it’s right

What is the extraneous solution to x+2=3x+34

Answers

Answer:

4x + 36

Step-by-step explanation:

combine like terms

3x + x = 4x

2 + 34 = 36

4x + 36 Is the full answer

Please help. Can't get calculator to work solve for x. Look at the picture.

Answers

Hey there!


4/5 = x/9

CROSS-MULTIPLY the fractions

4 * 9 = x * 5

4 * 9 = 5 * x

SIMPLIFY IT!
36 = 5x

5x = 36

DIVIDE 5 to BOTH SIDES

5x/5 = 36/5

SIMPLIFY IT!
x = 36/5


Therefore, the answer should be:
x = 36/5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

[tex] \boxed{ \boxed{\bf x= \cfrac{36 }{5} }\bf \: or\:\boxed{\bf x= 7.2}}[/tex]

Step-by-step explanation:

[tex] \bf \cfrac{4}{5} = \cfrac{x}{9} [/tex]

We first need to multiply both sides by 9.

[tex]\bf \cfrac{4}{5} \times 9 = x[/tex]

Let's put 4/5 × 9 as a single fraction.

[tex] \bf \cfrac{4 \times 9}{5} = x[/tex]

Multiply 4 and 9 = 36

[tex] \bf x= \cfrac{36 }{5} \: \: or\: \: x=7.2 [/tex]

«••••••••••••••«•°•»•••••••••••••••»

If you have 1 apple and add two more apples every 10 minutes for five hours how many apples would you have

Answers

Answer: 61 apples

Step-by-step explanation:

Given:

1 apple

+2 apples = +10 minutes

1 hour = 60 minutes

60/10 = 6 x 2 = 12 apples/hr

12 x 5 = 60 apples for 5 hours

60 + 1 = 61 apples

Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

a. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.

b. Both plans cost the same when 22 texts are sent.

c. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

d. Both plans cost the same when 50 texts are sent.

Answers

Answer:

d

Step-by-step explanation:

[tex]20 + .05x = 10 + .25x[/tex]

[tex].20x = 10 [/tex]

[tex]x = 50[/tex]

IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP

Solve for c in terms of x.




Answers

Answer:

c = x + 5

Step-by-step explanation:

using Pythagoras' identity in the right triangle

c² = 5² + ([tex]\sqrt{x^2+10x}[/tex] )²

   = 25 + x² + 10x

  = x² + 10x + 25 ← a perfect square

c² = (x + 5)²

take the square root of both sides

c = [tex]\sqrt{(x+5)^2}[/tex] = x + 5

A Cone has a radius of 3 and a height of 5. solve.




Answers

Assuming your looking for volume.

The following formula is used for calculating the volume (V) of a cone.

[tex]\boxed{V=\frac{1}{3}\pi r^{2} h}[/tex]

where r is the radius and h, the height.Substitute r = 3 and h = 5 into the formula.

⇒ [tex]V=\frac{\pi *3^{2} *&5}{3} =\frac{45*\pi }{3}[/tex] ≈ [tex]47.124[/tex] [tex]cubic[/tex] [tex]cm[/tex]

please help!!! evaluate -|-8-2|

Answers

[tex]-|-8-2|\\\\=-|-10|\\\\=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~;|-a| = a[/tex]

Answer: Heyaa! ~

Your Answer is... -10, Which is B.

Step-by-step explanation:

-|-8-2|

-|-10|

-10

Hopefully this helps you! ^

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