The population of a town is 8600 and is growing 3% a year. What will the population be after 3 years

vladimir2022 [97]

6 Find an exact value.
sin 75°
sin(A+B)=sin(A)cos(B)+cos(A)sin(B)
sin(45)=cos(45)=(2^0.5)/2 sin(30)=0.5 cos(30)=(3^0.5)/2
sin(45+30)=sin(45)cos(30)+cos(45)sin(30)=(6^0.5+2^0.5)/4
the answer is the letter d) quantity square root of six plus square root of two divided by four.

7. Find an exact value.
sine of negative eleven pi divided by twelve.

sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)

= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2=(√2-√6)/4
the answer is the letter c) quantity square root of two minus square root of six divided by four.

8. Write the expression as the sine, cosine, or tangent of an angle.
sin 9x cos x - cos 9x sin x

sin(A−B)=sinAcosB−cosAsinB

sin(9x−x)= sin9xcosx−cos9xsinx= sin(8x)

the answer is the letter c) sin 8x

9. Write the expression as the sine, cosine, or tangent of an angle.
cos 112° cos 45° + sin 112° sin 45°

cos(A−B)=cosAcosB+sinAsinB

cos(112−45)=cos112cos45+sin112sin45=cos(67)

the answer is the letter d) cos 67°

10. Rewrite with only sin x and cos x.

sin 2x - cos 2x

sin2x = 2sinxcosx
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2

sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2

sin2x- cos2x=2sinxcosx-1+2(sinx)^2

the answer is the letter b) 2 sin x cos2x - 1 + 2 sin2x

4 0

3 years ago

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Mandy Riddell’s gross weekly pay as a physician’s assistant is $750. Using the tax rates for Social Security of 6.25%, determine

Mashcka [7]

U have to divide the big to the small

6 0

3 years ago

What would the decimal number 20 be in binary?

Inessa05 [86]

10100 is the answer hope it helps you.

6 0

3 years ago

Suppose a normal distribution has a mean of 266 and a standard deviation of

Elis [28]

Answer:

I think the answer is P(x>178)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the area of a parallelogram whose bases are 9

Nady [450]

 Base=9cm

height=3 cm

Area of parallelogram=b*h

 =9*3

 =27cm^2.

Hope this will help u...:)

6 0

3 years ago