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labwork [276]
3 years ago
7

Please someone answer this, “what is the area of triangle ABC?”

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\dfrac{ \sqrt{3} }{4}  {a}^{2}

where,

  • a = 8 ( side measure )

=》

\dfrac{ \sqrt{3} }{4}  \times 8 \times 8

=》

\sqrt{3}  \times 16

=》

16 \sqrt{3} \:  \:  \:  cm {}^{2}

or

=》

27.71 \:  \: cm {}^{2}

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QveST [7]

Answer:

31.5 ft²

Step-by-step explanation:

7x4.5=31.5 ft²

7 0
3 years ago
1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost
stiv31 [10]
Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9


We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
8 0
2 years ago
Simplify x^2+xy-yx+y^2 + y^2+yz-zy+z^2 + z^2+zx-xz+x^2
Artemon [7]

Answer:

2x^2 + 2y^2 + 2z^2

Step-by-step explanation:

x^2+xy-yx+y^2 + y^2+yz-zy+z^2 + z^2+zx-xz+x^2

First step is to put all the same ones together

( FYI, xy and yx is the same thing, just like how

2 x 3 and 3 x 2 is the same thing) this time I'll bracket the groups to make it easier on the eyes

(x^2 +x^2) + (xy - xy) +( y^2 + y^2) + (yz - yz) +

(z^2 +z^2) + (zx - zx)

2x^2 + 2y^2 + 2z^2

All the others just cancel themselves out, for example, xy-xy

When anything minus themselves it will become 0

7 0
3 years ago
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Dmitry_Shevchenko [17]

6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\&#10;6=\dfrac{9a-b}{5}\\\\\&#10;9a-b=30\\\\&#10;\boxed{b=9a-30}

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3 years ago
The house numbers on Carr Memorial Avenue follow a pattern. The first four houses on the left side of the street are numbered 8,
Alinara [238K]
There would be 4 more houses on the left side of the street
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4 years ago
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