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nordsb [41]
4 years ago
14

Calculate the length.

Mathematics
2 answers:
deff fn [24]4 years ago
8 0
A squared+B squared=C squared
6 squared+B squared=7 squared
36+B squared=49
B squared=49-36=13
B squared=13
b=square root of 13
b=3.61
choice B
Nataly_w [17]4 years ago
5 0
A^2 + B^2 = C^2

6^2 + B^2 = 7^2

36 + B^2 = 49

B^2 = 13

B = 3.61

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30° and 60°.

<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>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

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:

\boxed{ \ 90^0 + x + 2x = 180^0 \ }

Both sides subtracted by 90°.

\boxed{ \ x + 2x = 180^0 - 90^0 \ }

\boxed{ \ 3x = 90^0 \ }

Both sides divided by 3.

We get \boxed{ \ x = 30^0 \ }

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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The total cost of the battery was $77.40.

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