Given that tangent theta equals three halves comma pi less than theta less than StartFraction 3 pi Over 2 EndFraction commatanθ=32, π<θ<3π2, find the exact value of each of the following.
(a) sine left parenthesis 2 theta right parenthesissin(2θ)     
(b) cosine left parenthesis 2 theta right parenthesiscos(2θ)     
(c) sine StartFraction theta Over 2 EndFractionsinθ2     
(d) cosine StartFraction theta Over 2 EndFractioncosθ2     
(e) tangent left parenthesis 2 theta right parenthesistan(2θ)     
(f) tangent StartFraction theta Over 2 EndFractiontanθ2(a)  
sine left parenthesis 2 theta right parenthesissin(2θ)equals=nothing
(Type an exact answer, using radicals as needed.)

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: