Sin(A+B)/sin A cos B
= 1 + cot A tan B
how to verify the identity?

Answer:

5.875 as a fraction is 47/8.

Step-by-step explanation:

no explanation lol

Final answer:

The fractional equivalent of the decimal number 5.875 is 5 7/8. This is found by converting the decimal part of the number to a fraction (0.875 becomes 875/1000), simplifying it to the lowest form (7/8), and tacking it onto the whole number part (5).

Explanation:

The fraction equivalent to the decimal number 5.875 feet can be obtained by understanding decimal placement and fractions. A fraction represents a part of a whole and in decimal numbers, the place value after decimal point represents tenths, hundredths, thousandths, and so on. Looking at the decimal number 5.875, the three digits after the decimal represent the thousandth place.

So, convert 875 thousandths to a fraction. In fraction form, it would thus be 875/1000. However, we simplify to get the equivalent fraction by dividing both the numerator (875) and the denominator (1000) by their greatest common divisor (GCD) which is 125. Hence, 875 divided by 125 gives 7, and 1000 divided by 125 gives 8. Consequently, the fraction for 0.875 is 7/8.

Therefore, 5.875 feet is equal to 5 7/8 feet in fractional form.

Learn more about Converting Decimals to Fractions here:

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Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

Upon substituting the given expressions for both segments we will get,

Using distributive property we will get,

Subtracting 5x from both sides we will get,

Now, we will add 8 on both sides

Therefore, the value of x is 28 and option D is the correct choice.

Answer: the correct option is D

Step-by-step explanation:

Note: the chapter summary can be found in chapter 22 of the Pearson Education,Inc. (PDF format).

In the chapter, a single slit aperture diffraction and a circle aperture diffraction was discussed.

A circle aperture diffraction occurs when light pass through a tiny hole or aperture to produce a circular disc image. This disc is called Airy's disc.

To calculate the aperture diameter,d we can use the formula below;

d= m× λ/ sin θ. ------------------------------------------------------------------------------(1).

The single slit aperture diffraction is when light pass through a single slit to produce. The wavelength, λ is greater than the width of the aperture.