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bagirrra123 [75]
3 years ago
15

Find the distance between v = [1; 2; 3]t and w = [-2; 1;2]t

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

  |w-v| = (√11)t

Step-by-step explanation:

Using the distance formula, you find it to be (for t=1) ...

  d = √((-2-1)² +(1-2)² +(2-3)²) = √(9 +1 +1) = √11

The distance will be multiplied by t, so is ...

  |w-v| = (√11)t

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The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles
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<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

  • The acute angle ⇒ an angle of less than 90°.
  • The right angle ⇒ an angle of exactly 90°.
  • A right triangle ⇒ a triangle in which one angle is a right angle.
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<u>Given that:</u>

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<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

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From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

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We substitute the value of x back into B and C.

\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>
  1. Undefined terms needed to define angles  brainly.com/question/3717797
  2. What is 270° converted to radians brainly.com/question/3161884
  3. A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

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