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3 years ago

Find the third side in simplest radical form:

Mathematics

1 answer:

larisa [96]3 years ago

5 0

Answer:

x = √53

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 6

Leg b = x

Hypotenuse c = √89

Step 3: Solve for x

Set up equation: 6² + x² = (√89)²
Isolate x term: x² = (√89)² - 6²
Exponents: x² = 89 - 36
Subtract: x² = 53
Isolate x: x = √53

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3 years ago

Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5Â° 56. 5Â° 28. 9Â° 44. 3Â°.

Nina [5.8K]

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

$\theta = x$

$Hypotenuse = 58$

$Opposite = 32$

To determine the measure of angle x, we simply make use of the following sine ratio.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(x) = \frac{32}{58}$

$\sin(x) = 0.5517$

Take arc sine of both sides

$x = \sin^{-1}(0.5517)$

This gives

$x = 33.5$

Hence, the approximated value of x is 33.5 degrees

Read more about right-angled triangles at:

brainly.com/question/16195823

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2 years ago

0.30+0.31+0.32+0.33+...0.49+0.50

AlladinOne [14]

Answer:

2.25

Step-by-step explanation:

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4 years ago

Can you please fill in this table?

ELEN [110]

Answer:

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Step-by-step explanation:

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4 years ago

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