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AfilCa [17]
2 years ago
7

If the perimeter of an equilateral triangle is 60 cm, then what is its area?

Mathematics
2 answers:
Tpy6a [65]2 years ago
5 0
P=60/3
=20
a+b=c
C-b=a
40p-100=root 300
100root3
photoshop1234 [79]2 years ago
3 0
Hello! The Perimeter is = 60cm
1 side = 60/3 = 20 cm
√s(s-a)(s-b)(s-c)s(s−a)(s−b)(s−c)

s = 30

√30(30-20)(30-20)(30-20)

=√30×10×10×10=√30000cm²

The Area is = 100√3 cm²
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Subtract 9x^2 - 7x from -4x^2 + 6
Rzqust [24]

Answer:

13x^2 - 7x + 6

Step-by-step explanation:

(9x^2 -7x) - 1(-4x^2 + 6)

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8 0
3 years ago
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
Math question for 30 points please answer correctly
joja [24]

Answer:

D. The rate of change for function B is greater than the rate of change for function A

Step-by-step explanation:

Function a has a slope (aka rate of change) of 3/3

I know this because we start at (-3, 0) then finish at (0, 3)

We added 3 to both the x value and the y value.

3/3 = 1, so we have a rate of change of 1 for function A

Now that we know this, we can write the equation out into slope intercept form.

We can get y = x + 3

The equation for function B is y = 5x + 5

The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A

4 0
3 years ago
Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm
posledela

Answer:

D) L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

Lateral area;

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315 cm²

Surface area:

315 + (½)(14)(14)sin(60)

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6 0
3 years ago
Read 2 more answers
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