Answer:
None of those that you listed are correct.
Step-by-step explanation:
All of the selections you've shown do not equal to 43. Sorry. :(
<span>
6 Find an exact value. sin 75°
</span>sin(A+B)=sin(A)cos(B)+cos(A)sin<span>(B)
</span>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.
<span>
7. Find an exact value. sine of negative eleven pi divided by twelve.
</span>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.
<span>
8. Write the expression as the sine, cosine, or tangent of an angle. sin 9x cos x - cos 9x sin x
</span>
sin(A−B)=sinAcosB−cosAsinB
sin(9x−x)= sin9xcosx−cos9xsinx= sin(8x)
the answer is the letter c) sin 8x
<span>
9. Write the expression as the sine, cosine, or tangent of an angle. cos 112° cos 45° + sin 112° sin 45°</span>
cos(A−B)=cosAcosB<span>+sinA</span>sinB
cos(112−45)=cos112cos45<span>+sin112</span>sin45=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<span>
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2</span>
sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2
sin2x- cos2x=2sinxcosx-1+2(sinx)^2
<span>
the answer is the letter <span>
b) 2 sin x cos2x - 1
+ 2 sin2x</span></span>
Probability of getting the correct answer in the first question is 1/4
probability of getting the correct answer in the second question is 1/4
probability of getting the correct answer in the second question is 1/4 the probability that he gets one question wrong is 3/4
which is 1/4*1/4*1/4*3/4=3/256
for the four questions because he may get the first answer correct and my be the second question wrong, or the the third wrong and the other correct or the first wrong and others correct we should take care of all this by
multiplying 3/256*4=12/256
=0.046875
in three decimal places we have 0.047
Answer:
170
Step-by-step explanation:
<em>How the sales tax de-calculator works
</em>
<em>Step 1: take the total price and divide it by one plus the tax rate.
</em>
<em>Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
</em>
<em>Step 3: subtract the dollars of tax from step 2 from the total price.
</em>
<em>Pre-Tax Price = TP – [(TP / (1 + r) x r]
</em>
<em>TP = Total Price.</em>
This is true. If you count the number of lbs, you get 16 and if you count the number of dollars in the same length, you get $4.
