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3 years ago

5sin²α+3cos²α / 3sin²α-5cos²α = if tgα=√2

1 answer:

8 0

Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)

sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)

cos(α) = adjacent/hypotenuse
= 1/sqrt(3)

now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math

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As compared to its first year of operation, ABC Company grew 8% in the second year and an additional 2% per year for the next tw

g100num [7]

First year sale = 150 000 dollars,
Then it grew 8% for the second years, and 2% each year for the next 2 years.
Total growth from 2-4 years increase is 45 000 dollars
Find the growth for the year 2
=> 8% = 8/100 = 0.08
=> 150 000 x .08
=> 120 000
Thus the growth of the ABC company for the second year is 120 000, that makes it
=> 150 000 + 120 000
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4 0

3 years ago

ZA and ZB are supplementary angles. If m_A

KatRina [158]

Answer:

∠A = 107

∠B = 73

Step-by-step explanation:

∠A , ∠B are supplementary. So, ∠A + ∠B = 180

5x + 27 + 5x - 7 = 180

5x + 5x + 27 - 7 = 180 {Combine like terms}

10x + 20=180

10x = 180 -20

10x = 160

x = 160/10

x = 16

∠A = 5x + 27 = 5*16 + 27 = 80 + 27 = 107

∠B = 5x - 7 = 5*16 - 7 = 80 - 7 = 73

5 0

3 years ago

Please help!! (Number 73)

Rasek [7]

So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so $\bf V=l\cdot w\cdot h\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\ --------\\
h=1.75\\
V=78.75
\end{cases}\implies 78.75=lw\cdot 1.75
\\\\\\
\cfrac{78.75}{1.75}=lw\implies 45=lw$

so.. if you factor 45, to two factors, one will be the length, the other the width

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3 years ago

The product of -2 and a number minus 6 is greater than -18

Eduardwww [97]

So product means multiplication so -2*(x-6) > -18 so divide by -2 on both sides to get x-6<9 because when you multiply a negative the sign swaps directions and then add 6 to get x<15

8 0

3 years ago

Khalid carried water bottles to the field to share with his team at halftime. The water bottles weighed

jeka57 [31]

Answer:

Answer: D

${50x}^{2} + 30x + 10$

• first factorise out 10:

$= 10(5 {x}^{2} + 3x + 1)$

• then find factors of the quadratic equation in the bracket:

4 0

3 years ago