Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

In ∆ABC,

As, we have :

So, By angle sum property of triangle :

∠A + ∠B + ∠C = 180°

[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]

[tex] \tt : \implies \angle C = 60\degree[/tex]

Now, we have :

As, all angles are of same length, therefore it is a equilateral triangle.

We know that sides of equilateral triangle are equal.

[tex] \tt : \implies AB = BC = AC[/tex]

Now, we have BC = 12 units.

Hence, all sides are of 12 units.

Now, we know that area of equilateral triangle is :

[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]

[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]

[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]

So, Area of given triangle is 36√3 units².

Answer:

-2,1,2,0

Step-by-step explanation:

0 your choice to right,still right it to be safe, domain is all x values

Answer:

2, 3, 4

Step-by-step explanation:

Renee bought 7 potatoes at the supermarket. The shortest diameter of each,  

in centimeters, is shown below.

2, 3, 4, 4, 6, 6, 7

After Renee used one potato to make dinner, the median diameter of the remaining  potatoes was 5 centimeters. Which of these could be the diameter, in centimeters,  of the potato Reneetsed?

Solution:

The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.

The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.

Given that the diameter of the potato as:

2, 3, 4, 4, 6, 6, 7

Given that after removing one potato, the median of the remaining  potatoes was 5 centimeters.

After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.

To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.

If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

Answer:

25

Step-by-step explanation:

25%

delta math

Answer:

1200.96m

Step-by-step explanation:

please give me brainliest

Answer:

V = 1200.96 [tex]m^{3}[/tex]

Step-by-step explanation:

V = [tex]\pi[/tex] [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] [tex]\pi[/tex] x [tex]9.14^{2}[/tex] x [tex]\frac{13.72}{3}[/tex] = 1200.95996[tex]m^{3}[/tex]

Step-by-step explanation:

step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.

step 2. dos must have only 2 square rootable terms and a "-" between them.

step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!

step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!

step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!

step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!

Answer:

$42.50

Step-by-step explanation:

15% = .15

50 x .15 = 7.5

50 - 7.5 = 42.5

Answer:

Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip

Step-by-step explanation:

To get the total length of rope Mr John needs for the camping trip, we can simply add up the length of rope he needs to tie the logs to the length of rope he needs for the clothesline.

Length of rope he needs to tie the logs = [tex]12\frac{1}{2}[/tex]

Length of rope he needs for the clothesline = [tex]9 \frac{3}{4}[/tex]

to sum this up, we, first of all, add up the whole numbers

12 + 9 = 21.

We then keep this aside then add up the fractions

[tex]\frac{1}{2} +\frac{3}{4} =\frac{2 +3}{4} = 5/4 = 1\frac{1}{4}[/tex]

We then add this to our whole numbers

[tex]21 + 1\frac{1}{4} =22 \frac{1}{4}[/tex]

Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip

Answer:

Step-by-step explanation:

No, it's not always true

Step-by-step explanation:

25.74- 8.58=x/4.29

i think It is 21! Let me know if i is wrong.

Answer:

C. 2.7 repeating

Step-by-step explanation:

25/9 = 2.777777777777777

Since there is a negative on the y term, we need to get rid of that and thus flip the sign at the same time. Getting.

-43>8/3y

Now we just need to divide 8/3 on both sides dividing 8/3 on left can also be written as *3/8

-43*3/8>y

Now flip this entire equation

y<-43*3/8

y<-129/8

If your teacher want you to calculate just divide the fraction, but I recommend not to if your teacher don't ask for it and just leave it this way.

Hope it helps! :D

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

Answer:

-7x + 8(x + 1) = -7

Step-by-step explanation:

the value of the 5 in 590 is hundred

Answer:

thousands I think you can still double check if you want

Answer:

9km

Step-by-step explanation:

La question précise que:

36% de 25km

La signification de "OF" mathématiquement = x (multiplication)

Par conséquent:

36% de 25km

= 36/100 × 25 km

= 9 km

Answer:

I plot the points to a graph but I don't have access to a 14 I only have a 10 grid graph but I was able to plot the other points this is wht I got

Step-by-step explanation:

let me know if u can't see it..... I would say it's nonlinear

Answer:

the answer is 256

Step-by-step explanation:

Answer:

41.472 m²

8.449m²

Step-by-step explanation:

c) scale facot is 7.2/5 = 1.44

the square scale factor is 1.44^2 = 2.0736

times 20 by this to get the area

2.0737x 20 = 41.472 m²

d) 2.8/6 = SF = 0.467

0.2178 x 38.8 = 8.449m²

The correct statement is one in six chance of rolling a two.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

A dice is thrown.

So, the chances of getting 2 is 1/6

and, the chance of getting odd number is 3/6 or 1/2.

and, the chance of getting six is 1/6.

So, the correct statement is

one in six chance of rolling a two

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ2

Answer:

I believe the answer is $455

Answer:

the answer from IXL is $455

Step-by-step explanation:

Answer:20

Step-by-step explanation: If u need help again: https://mathpapa.com/algebra-calculator.html

Answer:

q = 20

Step-by-step explanation:

q 4

5 = 1

4 x 5 = 20

Answer:

I think this is right thanks :)

Answer:

El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m

Step-by-step explanation:

Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.

En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.

Siendo el área del terreno rectangular 16,200 m², entonces

x*(x÷2)= 16,200 m²

Resolviendo:

x² ÷2= 16,200 m²

x²= 16,200*2 m²

x²= 32,400 m²

x= √32.400 m²

x= 180 m

Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation: