Mathematics High School

if the area of an equilateral triangle is 9root3 cm square find its side​

Answers

Answer 1

Answer:

6 cms.

Step-by-step explanation:

If the side of an equilateral triangle is 2x cm then its height is  √3x and its base is 2x.

Area = 1/2 * base * height

9√3 = 1/2 * 2x * √3x    

9√3 = x * √3x

9 = x^2

x = 3

So length of each side = 2*3 = 6.

x = 9

Related Questions

If P=(2,-1), find the image of P under the following rotation. 90 counter about the origin. Enter the number that belongs in the green box.

Answers

Step-by-step explanation:

If the image move 90⁰ counterclockwise then it will become (-2, -1).

The value of the image of P under the rotation 90 degree counter about the origin is, (1, 2)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Point P is,

P = (2, - 1)

Now, We know that;

To rotate quadrilateral ABCD 90° counterclockwise about the origin we will use the rule (x, y) becomes (-y, x).

Hence, The value of the image of P under the rotation 90 degree counter about the origin is,

= (- (- 1), 2)

= (1, 2)

Thus, The value of the image of P under the rotation 90 degree counter about the origin is, (1, 2)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

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Cinco empleados lavan 10 autos en 4 horas, ¿cuántos autos lavarán 8 empleados en 6 horas?

Answers

Answer:

yo creo que es 13. lo siento si esta incorecto.


Find the following measure for this figure

Answers

In think that volume = 1,200 cubic units

35) Sanjay bought a package of 4
tennis balls. The total weight of the
tennis balls was 9.2 ounces. How
much did each tennis ball weigh?

Answers

Step-by-step explanation:

to solve this answer you will have to divide the number 9 .2 by 4 and each of the tennis ball weight is found

hope this will help you if then make me brainliest

Find The Circumference of The Circle with Diameter 2.1cm​

Answers

Answer:

Step-by-step explanation:

Since the diameter is 2.1 then its radius is 1.05.

Therefore the circumference is [tex]C=2\pi r=2\pi (1.05)=2.1\pi[/tex].

Answer:

6.6cm

Step-by-step explanation:

Use 2pie R

Diameter = 2 x radius

So your radius is 1. 05

2 x 22/7 x 1.05 = 6.6

Betty and Gavin went to the opera. The performance started at 6:22 and was 3 hours and 20 minutes long. What time was it when the opera ended?
9:47
9:42
3:18
9:18

Answers

9:42

The answer is 9:42 because if you add 3 hours the time would be 9:22 and if you add 20 minutes it would then become 9:42.

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.-. Which
inequality can be used to find the possible lengths, x, of the base of the triangle?

Answers

Duplicate:

https://brainly.com/question/7037282

https://brainly.com/question/13592822

PLEASE HELPPPPP


What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

y=-1/2x+

Answers

Answer:  4

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

Explanation:

For now, let's call the y intercept b

We'll plug in x = 2 and y = 3 from the given point to find b

y = mx+b

y = (-1/2)x + b

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

3 = -1 + b

3+1 = b

4 = b

b = 4

The y intercept is 4

The equation of the line is y = (-1/2)x + 4

What is the difference?

Answers

Answer:

4th option

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL

= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]

Since the denominators are common, then subtract the numerators

= [tex]\frac{x-1}{x^2+3x+2}[/tex]

Help what is the slope of the line?

Answers

9514 1404 393

Answer:

  8/5 = 1.6

Step-by-step explanation:

It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6

The slope of the line seems to be about 8/5, or 1.6.

jody wants to figure out how he spends his time. currently, he spends 12 days out of a 30-day month practicing the piano. How much of the month does he spend practicing in terms of percent, decimal. and fraction?

Answers

Answer:

percent- 40%

decimal- 0.4

percent- 2/5

Step-by-step explanation:

you divide 30 by 12 because he practices piano 12/30 days of the month

Si un amigo de Lorena tiene el doble de canciones que ella en su reproductor de música y juntas
suman 60 canciones. ¿Cuántas canciones tiene Lorena?

Answers

Lorena tiene 20 canciones y su amigo tendria 40

(2x^2 - 4x+1)+(5x+x^2 - 1) sum PLEASE QUICKKKKKK

Answers

the answer is 2x^2+x+1

Need the awnser for 3

Answers

Answer:

here u go

Step-by-step explanation:

< DBC (angle DBC)

Factor x - x - 30.
O(x-7)( x - 3)
O (X+9)(x-3)
O(x + 5) x-6)
O(x+4)( x - 8)

Answers

Answer:

(x + 5)(x - 6)

Step-by-step explanation:

[tex] {x}^{2} - x - 30[/tex]

[tex] = {x}^{2} - 6x + 5x - 30[/tex]

[tex] = x(x - 6) + 5(x - 6)[/tex]

= (x + 5)(x - 6) (Ans)

a + (b-4) when a-24 and b-7

Answers

Answer:

a=24

b=7

now

24+(7-4)

24+3

27

so the answer is 27

Help me with this!!!

Answers

Answer:

$$$$1.05

Step-by-step explanation:

20-3.96-14.99

=1.05

Problem in image. Explain it too.

Answers

[tex]\sqrt{40} = 6.32\\\\\\or\\5\sqrt{15} \\\\[/tex]

this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.

-------------- try the next problem, and if you don't understand, please reply back.

answer is for a) [tex]5\sqrt{15}[/tex]

7/9 , 28/36
do they form a proportion???‍

Answers

Answer:

yes

Step-by-step explanation:

7*4=28

9*4  36

Answer:

Yes they do

Step-by-step explanation:

7/9=28/36

7×36=9×28

252=252

Thus, they form a proportion

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
Today, Kevin is
years old, and Uncle Rob is
years old.

Answers

Answer:

kevin is 7

Rob is 48 yo

Step-by-step explanation:

Kevin is 7

Uncle Rob is 48

Can someone please help with number 5 and 6.

Answers

Answer: the first is b and the second is a

Step-by-step explanation:

savannah decides to pack hot cocoa mix for her scouting troops next camping trip. she wants to bring enough for the 16 scouts to have 2 cups of hot cocoa each . if the container of hot cocoa mix says to use 3 tablespoons per cup , how many ounces of mix should savannah bring?

Answers

she should bring 48 ounces bc she has 16 scouts and each of them need 2 cups so: 2x16=32 so that means there are 32 cups in total and now you need 3 tbs per cup so: 3x32=96 so that means you will need 96 tbs of mix in total now you transfer units from tbs to ounces and since half an ounce is one tbs you divide by two: 96➗2=48

Please help again. I’m so confused

Answers

Answer:

-67

Step-by-step explanation:

x=-6

-6^2+6(-6)+5

brainly pls

Plz help with questions 4,5 and 6

4.
5.
6.

Answers

Answer:

4. [tex]4*x[/tex]

the word product represents multiplication. X is all real numbers in this case.

5. x - 12

We now that x (number) is subtracting 12 from itself, x.

6. 4(10 - x)

four times is 4 times, and difference is subtraction.

Solve for Domain and Range​

Answers

Answer:

Step-by-step explanation:

diameter 8 inch circle and round to the nearest hundred​

Answers

Step-by-step explanation:

I think we need to area

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Area = πr²

Area = 22/7 × (4)²

Area = 22/7 × 16

Area = 50.28 in²

Step-by-step explanation:

According to question,

Diameter=8 inches

Therefore, Radius=D/2=8/2 inches=4 inches

Now,

To find perimeter,

2πr

2×22/7×4 inches

25.1428571 inches

To find area,

πr²

22/7×(4 inches)²

22/7×16 inches²

50.2857143 inches²

I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it

Answers

Answer:

sike

Step-by-step explanation:

gimme a reason to help u pls

6 times the sum of a number and 12 is 114. what is the number?

Answers

Answer:

6 times the sum of a number and 12 is 114. The number is 17

Step-by-step explanation:

6 x 17 + 12= 114

Answer:

(12+114).6 this is because of the question , you have to multiple the sum 6 times

In y = -2x + 2, which of the following statements must be true about the
equation? (Check all that apply)
A) The slope is -2.
B) The equation represents a quadratic function.
C) The y-intercept is (0,-2).
D) From left to right, the line is decreasing or moving in a negative direction.

Answers

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A) The slope is -2.

D) From left to right, the line is decreasing or moving in a negative direction.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

The equation given is in 'Slope-Intercept Form', where the equation gives the slope and y-intercept of a linear line. This would eliminate option B, since it is not quadradic.

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form is:}}\\\\y = mx + b\\\\\rightarrow m - slope\\\\\rightarrow b - \text'y-intercept\text'[/tex]

⸻⸻⸻⸻

In the equation [tex]y= -2x+2[/tex], the slope is '-2' (-2 takes m's place) and the y-intercept is (0,2). (2 takes b's place.)This would mark option A as a correct answer and eliminate option C. Line with negative slopes would go down if you were looking at the graph from left to right. Since the sign of the slope is negative, this would make option D a correct answer as well.

⸻⸻⸻⸻

Options A and D should be correct.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

find the least number which must be added to 1015 to make it a perfect square​

Answers

Answer:

9

Step-by-step explanation:

[tex] {32}^{2} = 1024 = 1015 + 9[/tex]

9 must be added to 1015 to make it a perfect square.

Answer:

9 should be added to 1015 to be a perfect square

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