If y = sin (ax + b), where a & b are constants, which of these is true

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

Step-by-step explanation:

We have y = sin(ax + b).

=> dy/dx = a * cos(ax + b)

=> d²y/dx² = a[a * -sin(ax + b)] = a² - a * sin(ax + b).

Therefore d²y/dx² = a² - ay,

d²y/dx² - a² + ay = 0.

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Help me PLEASEEEEEEEEEEEEE

Andrej [43]

The correct answer is 2.5 cm

Explanation:

In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15

5 cm (base) x 6 cm (height) = 30 cm

30 cm / 2 = 15 cm (total area)

This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as

6 x w = 15

w = 15 / 6

w = 2.5

Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area

4 0

3 years ago

Help me with this and you will be awarded handsomely.

olya-2409 [2.1K]

Answer:

1. 51

2.25

3.104

4.31

5.41

Step-by-step explanation:

7 0

3 years ago

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

amm1812

Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15

6 0

2 years ago

What is the length of BD?

I am Lyosha [343]

Answer:

$10\sqrt{3}$

Step-by-step explanation:

Trigonometric Ratios

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

Sine Ratio

$\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$