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3 years ago

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

guajiro [1.7K]3 years ago

7 0

Answer:

Length of x ⇒ ( About ) 11.5; Option C

Step-by-step explanation:

~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

Length of x ⇒ ( About ) 11.5

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solong [7]

Answer:

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Step-by-step explanation:

Solve for k over the real numbers:

4 k - 10/k = 8

Bring 4 k - 10/k together using the common denominator k:

(2 (2 k^2 - 5))/k = 8

Multiply both sides by k:

2 (2 k^2 - 5) = 8 k

Expand out terms of the left hand side:

4 k^2 - 10 = 8 k

Subtract 8 k from both sides:

4 k^2 - 8 k - 10 = 0

Divide both sides by 4:

k^2 - 2 k - 5/2 = 0

Add 5/2 to both sides:

k^2 - 2 k = 5/2

Add 1 to both sides:

k^2 - 2 k + 1 = 7/2

Write the left hand side as a square:

(k - 1)^2 = 7/2

Take the square root of both sides:

k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

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3 years ago

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Rashid [163]

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3 years ago

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Usimov [2.4K]

Answer:

Step-by-step explanation:

We can plug this into a formula and get

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Answer:

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Step-by-step explanation:

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