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charle [14.2K]
3 years ago
8

What is the area of an equilateral triangle with each side as 2 inches?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0
\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{one of the sides}
bezimeni [28]3 years ago
3 0
We use pythagoraeon theroome to find the height
see attachment

remember
for a right traingle
a²+b²=c²

legs are 1 and ?
hytponuse is 2
1²+?²=2²
1+?²=4
minus 1 both sides
?²=3
sqrt both sides
?=√3=height

area=1/2 times base times height
aera=1/2 times 2 times√3
area=√3 square inches

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Solve (x + 5)2 = 48.
natita [175]

Answer:

x = -5  ±4sqrt(3)

Step-by-step explanation:

(x + 5)^2 = 48

Take the square root of each side

sqrt((x + 5)^2) = ±sqrt(48)

x+5 = ±sqrt(16*3)

x+5 = ±4sqrt(3)

Subtract 5 from each side

x = -5  ±4sqrt(3)

7 0
3 years ago
I need help and steps of how u got it
Gnom [1K]

Answer:

A)  4

Step-by-step explanation:

There are a couple of ways to get this but this is how I did it:

1.  Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation

1/4 x + 1/8 y = 2

1/4 (1/3 x + 1/2 y = 4)

1/12 x + 1/8 y = 1

2.  Subtract the first equation from the new equation

    1/12 x + 1/8 y = 1

<u>    - 1/4 x - 1/8 y = -2</u>

-1/6 x= -1

3.  Divide both sides by -1/6

  <u>-1/6</u> x= <u>-1</u>

   -1/6    -1/6

     x = 6

4. Substitute 4 in for x in the original equation:

1/4 (6) + 1/8y = 2

6/4 + 1/8y = 2

1/8y = 1/2

  y = 4

3 0
3 years ago
What is x/8 = - 8 <br> = to
FrozenT [24]
Answer -64


step by step:
3 0
3 years ago
Change 84% to a fraction
Sauron [17]
21/25 first you would do 84/100 then you would simplify 
3 0
3 years ago
find the numerical lengths of the diagonals of the parallelogram below where FB=4x-2 FD=3y-1 FC=3x and FA=3y-3. solve using a sy
Andre45 [30]

Answer:

BD = 28

AC = 24

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

4x − 2 = 3y − 1

3x = 3y − 3

Using elimination to solve the system of equations, subtract the second equation from the first.

(4x − 2) − 3x = (3y − 1) − (3y − 3)

4x − 2 − 3x = 3y − 1 − 3y + 3

x − 2 = 2

x = 4

Substitute into either equation to find y.

3(4) = 3y − 3

12 = 3y − 3

15 = 3y

y = 5

The length of BD is:

4(4) − 2 + 3(5) − 1 = 28

The length of AC is:

3(4) + 3(5) − 3 = 24

8 0
2 years ago
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