3 years ago

Which of the following functions is equal to sin(90° - )?

1 answer:

8 0

Let sin(90° - )------------------------ > sin (90-x)

sin(a - b) = sin a*cos b - cos a*sin b
so
sin(90 - x) = sin 90*cos x - cos 90 * sin x
sin(90 - x) = 1*cos x - 0* sin x-------- > cos x

the answer is the option D. cos()

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The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percen

Lynna [10]

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100.

45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%

6 0

3 years ago

If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:

Natalka [10]

Answer:

10,692

Step-by-step explanation:

GCF stands for Greatest Common Factor.

The way to find it is easy once you have the prime decomposition.

Search for common factors in the decomposition and take the least power, then multiply them all.

So, in our case, as the numbers are already broken down into prime factors , we have

$GFC(a,b)=2^2.3^5.11=10,692$