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3 years ago

Special right triangles, find x and y

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

a) sin Ф = $\frac{opposite side}{hypotenuse}$

Ф = 60°

opposite side = 15

hypotenuse = ?

$hypotenuse = \frac{opposite side}{sin \alpha }$

$hypotenuse = \frac{15}{sin 60}$

$hypotenuse = \frac{15}{0.87}$

hypotenuse = 17.32

b) cosФ = $\frac{y}{hypotenuse}$

$y = hypotenuse x cos 60$

$y = 17.32 x 0.5$

y = 8.67

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Answer:

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Step-by-Step Explanation

Definition (Linear Independence)

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

Definition (Span of a Set of Vectors)

The Span of a set of vectors is the set of all linear combinations of the vectors.

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A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors $A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right)$ , we are to decide which of the given statements is true:

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