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2 years ago

Equivalnt Expressions with Exponents

Mathematics

1 answer:

Eddi Din [679]2 years ago

4 0

Answer:

Um i cant see the picture

Step-by-step explanation:

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triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side

lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

$(20 x-2)^2 = (12x + 20)^2 + (25x)^2$

Expand the bracket

$400x^2- 4 = 144x^2 + 400 + 625x^2$

Collect like terms

$400x^2 - 144x^2 - 625x^2 = 400 + 4$

$-369x^2 = 404$

Make x^2 subject

$x^2 = \frac{404}{369}$

$x = \sqrt{1.0948}$

$x = 1. 046$

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

#SPJ1

8 0

2 years ago

What is 6,691 ÷ 28 <br><br>step by step <br><br>without a decimal

steposvetlana [31]

Answer:

238

Step-by-step explanation:

238.964286

6 0

3 years ago

Read 2 more answers

Factor: 3.x2 + 7x + 2

iren [92.7K]

Answer:

x= -1/3 and -2

I have made it in above picture

5 0

3 years ago

What is the greatest common factor of 62 and 82? Use prime factorization solve.

Kobotan [32]

62=2×31
82=2×41
so the answer is 2

8 0

3 years ago

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in a certain chemical, the ratio if zinc to copper is 3 to 16. a jar of the chemical contains 320 grams of copper. how many gram

Dennis_Churaev [7]

Answer:

60 grams

Step-by-step explanation:

For these type of questions, we can equate the ratio with the actual amounts. We will let the quantity to find be an unknown variable, such as x. Then we equate the ratios, cross multiply, and use algebra to solve.

Let grams of zinc be "x", so we can write the ratios and actual amounts as:

$\frac{3}{16}=\frac{x}{320}$

Then we cross multiply and solve for x, what we want to find out. Shown below:

$\frac{3}{16}=\frac{x}{320}\\16x =3 * 320\\16x = 960\\x = \frac{960}{16}\\x=60$

There are 60 grams of zinc.

5 0

4 years ago