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lana [24]
3 years ago
7

Prove 2SinAsinB =cos(A-B)-cos(A+B)

Mathematics
1 answer:
Leni [432]3 years ago
8 0
Right side of the equation:
cos ( A - B ) - cos ( A + B ) =
= cos A cos B + sin A sin B - ( cos A cos B - sin A sin B ) =
= cos A cos B + sin A sin B - cos A cos B + sin A sin B =
= 2 sin A sin B    -  left side of the equation      ( correct )
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A bag contains 5 red balls, 3 green balls, and 2 yellow balls. Find the sum of the probability of drawing a red ball, replacing
zalisa [80]
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row

7 0
3 years ago
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Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age gr
zepelin [54]

Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

3 0
2 years ago
What is the ratio 16 to 40 written as a fraction in lowest terms? plz help 50 points
Luda [366]

Answer:- \frac{2}{5}

Step-by-step explanation:

The given ration is 16 :40

In fraction, the above ratio can be written as : \frac{16}{40}

To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.

Since, 16=2\times8\\40=5\times8, Hence, 8 is the greatest common divisor of 16 and 40.

Now, divide the numerator and denominator by 8, we get

\frac{16}{40}=\frac{2}{5}

3 0
3 years ago
BRAINLIEST!!!
katrin2010 [14]
Hello!

You can solve this algrbraically

2/3 x = -20

Multiply both sides by 3

2x = -60

Divide both sides by 2

x = -30

The answer is B) -30

Hope this helps!
3 0
3 years ago
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A football field is a 64-meter-wide, 100-meter-long rectangle. What is the length of a diagonal ofa football field to the neares
lutik1710 [3]

Answer:

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the firmed in a diagonal line to the opposite corner. ... How much shorter is it to run across the field than around it ( nearest tenth)? ... Substitute the length of the sides (7 in, 25in n) into the Pythagorean theorem.

Step-by-step explanation:

im srry if it is wrong but i tried

3 0
3 years ago
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