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Nana76 [90]
3 years ago
10

What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place. ​

Mathematics
2 answers:
Lady_Fox [76]3 years ago
5 0

Step-by-step explanation:

\frac{{x}^{2} \times  \sqrt{3}}{4}

for x=8, area=16*root(3)

Contact [7]3 years ago
5 0

Answer:

Let's find the height:

Half of 8 is 4.

4^2 + 8^2 = 80

80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80

Your new height is 8.944.

8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2

Formula of area of a triangle:

B(base)H(height) x 1/2(basically just dividing by 2)

In this case 8 is your base and 8.944 is your height.

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The sum of a whole number and twice its square is 21. Find the whole number
I am Lyosha [343]
SOLUTION:

Let whole number = x

x + 2x^2 = 21

2x^2 + x - 21 = 0

2x^2 + 7x - 6x - 21 = 0

x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0

( 2x + 7 ) ( x - 3 ) = 0


2x + 7 = 0

2x = - 7

x = - 7 / 2

OR

x - 3 = 0

x = 3


ANSWER:

Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.

Hope this helps! :)
Have a lovely day! <3
6 0
3 years ago
A line passes through the point (-2,7) and had a slope of -5
Annette [7]

Answer:

a = -1

Step-by-step explanation:

The general equation for a straight line is y = mx+c, where m is the gradient/ slope, so m = -5. The first thing we need to do is find c, which we do by plugging in the x and y values that we already know: y = 7 and x = -2

7 = -5*(-2) + c

7 = 10 + c

c = 7-10 = -3

Now, we have the general equation of y = -5x -3 and we can use this to find a.

We'll treat a as x and y will be equal to 2:

2 = -5a -3

5 = -5a (Divide both sides by 5)

-a = 1 (now by -1)

a = -1

7 0
4 years ago
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Sasha had $1800 and share it in the ratio 2:3:4 between her 3 cousin what was the largest share
PilotLPTM [1.2K]

Answer:

$800

Step-by-step explanation:

total \: units \:  =  \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \:  = 1800 \\ 1 \: unit \:  = 1800 \div 9 \:  = 200 \\ largest \: share \:  = 4 \: units \\ 4 \: units \:  =  \: 200 \times 4 = 800

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3 years ago
60points if you answer
Anton [14]
-4 > -5, -4 is > or equal to 5
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The correct answer is C. One
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3 years ago
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