Question

A jewelry company prints a hidden watermark on the logo of all its official documents. The watermark is a chord located 0.7cm. From the center of a circular ring that has 2.5cm. Radius. What’s the length of the chord to the nearest tenth

Answer 1

Answer:

4.8 cm

Step-by-step explanation:

You will need to use the Pythagorean Theorem. And from there, you would solve using the exponents

0.7^2 + b^2 = 2.5^2

0.49 + b^2 = 2.5^2

0.49 + b^2 = 6.25

You would subtract 0.49 on both sides to get the b^2 by itself.

6.25 - 0.49 = 5.76

b^2 = 5.76

Now, you would use the square root in order to get "b" without the exponents, since the final answer has to have a variable that is by itself as "1"

√b^2 = √5.76

b = 2.4

Now, multiply 2.4 by 2.

4.8 cm

Answer 2

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Answer:

Your answer would be 4.8 cm

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Step-by-step explanation:

To solve this, you would want to use the Pythagorean Theorem. I will attach a picture below to show you the exact side you are trying to find in this problem.

Pythagorean Theorem:

a² + b² = c²

To solve this, we would have to plug the numbers (0.7, 2.5) in to the right spot in the Pythagorean theorem. We are trying to find one of the side lengths. 0.7 is one of the side lengths, while 2.5 would be our hypotenuse

Your equation should look like this:

0.7² + b² = 2.5²

Now we solve.

0.7² + b² = 2.5²

↓                 ↓

0.49 + b² = 6.25

-0.49           -0.49

             ↓

        b² = 5.76

Now, we have to use the square root in order to remove the exponent.

√b² = √5.76

      ↓

  b  =  2.4

Now, we would have to multiply 2.4 by 2

2.4 × 2 = 4.8

4.8 cm is your FINAL answer

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