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3 years ago

Choose the number sentence that shows the identity property of addition. A. 45 = 0 + 45 B. 90 = 45 + 45 C. 46 = 1 + 45

Mathematics

1 answer:

Alik [6]3 years ago

7 0

Answer:

The answer is A

Step-by-step explanation:

The identity property of addition simply states that when you add zero to any number, it equals the number itself.

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Find Sin (BAC+30) 80POINTS

Ann [662]

Answer:

$\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}$

Step-by-step explanation:

Trigonometric Identities

$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B$

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

$\cos (\angle BAC)=\dfrac{12}{20}$

$\sin (\angle BAC)=\dfrac{16}{20}$

Angles

$\sin (30^{\circ})=\dfrac{1}{2}$

$\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}$

Therefore, using the trig identities and ratios:

$\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}$

3 0

2 years ago

Read 2 more answers

Please help me out, I will give you brainlest when it gives me the option to.

bekas [8.4K]

Answer:

The answer is A

Step-by-step explanation:

6 0

3 years ago

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis? Quadratic formula: x =

katrin2010 [14]

(-6,0) and (-5,0) I got it right

8 0

3 years ago

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6. If xy = 6 and x = 2, then x + y =

ANTONII [103]

Xy = 6
x = 2

2y = 6

y = 6÷2

y = 3

x + y = (2) + (3) = 5

6 0

3 years ago

Write an equation parallel to the given line through the given line through the given point.

Law Incorporation [45]

The format of a line equation is y = mx + b
When two lines are parallel, their 'm' variables are equal.
Knowing this, the unknown line equation, so far, would look like this:
y = 9x + b
Since we know that the line equation goes through the point (2, 7)
7 = 18 + b
b = -11
y = 9x - 11

6 0

3 years ago