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ad-work [718]
3 years ago
13

If the area of an equilateral triangle is 9root3 cm square find its side​

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

6 cms.

Step-by-step explanation:

If the side of an equilateral triangle is 2x cm then its height is  √3x and its base is 2x.

Area = 1/2 * base * height

9√3 = 1/2 * 2x * √3x    

9√3 = x * √3x

9 = x^2

x = 3

So length of each side = 2*3 = 6.

x = 9

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15 pts awarded and brainliest will be chosen!!!
Delvig [45]

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

7 0
3 years ago
Read 2 more answers
Find the value of x <br><br> A. 5 square root 2/2<br> B 5<br> C 10<br> D 10 square root 2
grandymaker [24]

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

6 0
3 years ago
Read 2 more answers
The average mass of an ant is approximately 3 × 10 − 3 grams. The average mass of a giraffe is approximately 2 × 10 3 kilograms.
Vika [28.1K]

Given that average mass of an ant = 3 \times 10^{-3}grams.

Given that average mass of a giraffe = 2 \times 10^{3} Kilograms.

Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.

Like convert kilogram into gram or gram into kilogram.

I'm going to convert kilogram into gram using formula

1 Kg = 1000 g


So the average mass of a giraffe = 2 \times 10^{3} *10^3 grams.


Now we just need to divide mass of giraffe by mass of ant to find the answer.

\frac{2 \times 10^{3} *10^3 }{3 \times 10^{-3} }

= \frac{2 \times 10^{3} *10^3 *10^{3}}{3  }

= \frac{2 \times 10^{3+3+3}}{3  }

= \frac{2 \times 10^9}{3  }

= \frac{2}{3  } \times 10^9

=666666666.667

Hence final answer is \frac{2}{3  } \times 10^9 which is approx 666666666.667.

3 0
3 years ago
MARKING AS BRAINLIST <br> Round 0.456 to the nearest tenths.
BaLLatris [955]
Hi, the answer will be 0.5. Hope this helped :).
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3 years ago
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Find a degree 3 polynomial with real coefficients having zeros 2 and 2 − 2 i and a lead coefficient of 1. Write P in expanded fo
Zanzabum

Answer:

The polynomial with real coefficients having zeros 2 and 2 - 2i is

x³ - 6x² + 16x - 16 = 0

Step-by-step explanation:

Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.

We have

x - 2 = 0

x - (2 - 2i) = 0

=> x - 2 + 2i = 0

Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.

x - (2 + 2i) = 0

=> x - 2 - 2i = 0

Now,

P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0

= (x - 2)((x - 2)² - (2i)²) = 0

= (x - 2)(x² - 4x + 8) = 0

= x³ - 4x² + 8x - 2x² + 8x - 16 = 0

= x³ - 6x² + 16x - 16 = 0

This is the polynomial required.

6 0
3 years ago
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