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Nuetrik [128]
3 years ago
7

The question is in the picture.

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

x = 7\sqrt{3}

Triangle area formula: base * height * 1/2

We are given:

Base - 14 cm

Height - x

Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.

We are given:

Side a - 14 / 2 = 7 cm

Side b - the height (x)

Side c - 14 (it's an equilateral triangle)

Now, substitute the given values:

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = \sqrt{147}

x = 7\sqrt{3}

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Tell whether the data in the table can be modeled by a linear equation. Explain.
anastassius [24]

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

8 0
3 years ago
Plz help fast!!!!!!
Leokris [45]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A ship is carrying gold bars and silver bars in the ratio 13:17. The ship's load
andreyandreev [35.5K]

Using proportions, considering the weight of each bar and the ratio, it is found that the ship is carrying 52 gold bars.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each bar weighs 5 kg, and the total weight is of 600 kg, hence the number of bars is given by:

n = 600/5 = 120.

The proportion of gold bars is given by:

p = 13/(13 + 17) = 13/30

Hence, out of 120 bars, the number of gold bars is given by:

nG = 120 x 13/30 = 4 x 13 = 52.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
( 8 x 10^-3 ) * (0.0002) = ?<br><br> In scientific notation please
Juliette [100K]
 1.6 × 10 to the negative sixth power "10 -6". 
3 0
3 years ago
after making a deposit Puja had $264 in her savings account she knows that if she added $26 to the mouth originally in the accou
alex41 [277]

Answer:

$106.00

Step-by-step explanation:

origional amount = x

x + 26 + x + 26 = 264

2x + 52 = 264

2x = 264 - 52

2x = 212

x = 212/2

  = 106




Hope this helps you! Have an amazing day :)



3 0
3 years ago
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