if the perimeter of an equilateral triangle is 54 in, what is the area? step by step

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

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Answer:

Can i put down no clue lol

But the answer should be EVEN

Step-by-step explanation:

Answer:

even

Step-by-step explanation:   lol i was about to pick no clue

Answer:

x=6

Step-by-step explanation:

Simplifying

x + 15 = 21

Reorder the terms:

15 + x = 21

Solving

15 + x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + x = 21 + -15

Combine like terms: 15 + -15 = 0

0 + x = 21 + -15

x = 21 + -15

Combine like terms: 21 + -15 = 6

x = 6

Simplifying

x = 6

HOPE THIS HELPS :)

Answer:

I think you are in a test..You should do by your own

Answer:

b. 3/2

Step-by-step explanation:

Answer:

You would get a trapezoid shape.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

multiply both sides by 5

3x +50 = 4x -30

combine like terms

-x = -80

x = 80

Answer:

4cm is the correct answer

Answer:

the answer would be (4) or y=x+5

Step-by-step explanation:

-4+5 = 1 y=1 check

0+5=5 y=5 check

and so on.

Answer:

125.2

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]

[tex]\mathsf{4\times4 = \bf 16}[/tex]

[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]

[tex]\mathsf{16\times4 = \bf 64}[/tex]

[tex]\mathsf{\bold{64}\times5\times5 }[/tex]

[tex]\mathsf{64\times5 = \bf 320}[/tex]

[tex]\mathsf{\bold{320}\times5}[/tex]

[tex]\mathsf{= \bf 1,600}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1 / 5

I like orange juice.

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

Solving a linear equation we will find that they spent a total of Rs 1.080 and they initially had Rs 1,200.

Let's assume that initially they had M money, we know that they spend 9/10 of it, so now they have:

(1/10)*M

And we also know that at the end Binaya had Rs 120, so we can write the linear equation:

(1/10)*M = Rs 120

Solving that for M we will get:

M = 10*Rs 120

M = Rs 1,200

And the amount that they spent is 9/10 of that, so it is:

(9/10)* Rs 1,200 = Rs 1,080

So, they spent a total of  Rs 1,080 and they initially had a total of Rs 1,200

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the value of "x" is 5 and the value of "y" is 12

Answer:

should be A sorry if I'm wrong

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]

as equation 1

and

[tex]x + y = 25[/tex]

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]

Substitute y into equation 2.

[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]

The numbers are 9 and 16.

Answer:

-80%

Step-by-step explanation: