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Zolol [24]
2 years ago
14

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

<u>Solving for cos</u>θ

  • cos²θ = 1 - sin²θ
  • cos²θ = 1 - (0.27)²
  • cos²θ = 0.0729

<u>Finding tan</u>θ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

  • θ = tan⁻¹ (3.7)
  • θ = 74.88°
  • Range is : 0 < θ < π/2 [or 0 < θ < 90°]
  • It lies in the range [Verified]
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Answer:

$11040

Step-by-step explanation:

first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.

If 1 year=$4000,then 3 years=$12000

100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040

8 0
3 years ago
Read 2 more answers
Expand (- 3a - 5x) (- 2b - 4y).​
vekshin1

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

8 0
3 years ago
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The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?
Pepsi [2]
A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
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y = 63


8 0
3 years ago
Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

sin150° = sin30° = \frac{1}{2}

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- \frac{\sqrt{3} }{2} +  \frac{1}{2}i )

  = - 2\sqrt{3} + 2i , that is

(- 2\sqrt{3}, 2 ) → B

7 0
3 years ago
Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She
snow_tiger [21]

Answer:

balloons= 9

candles= 8

Step-by-step explanation:

let the number of balloons be x

and candles be y

So

15x+8y=192----------1

x+y=17--------------2

from 2, x= 17-y

put x= 17-y in 1

15( 17-y)+8y=192

255-15y+8y=192

solve for y

-7y=192-255

-7y=-63

x=63/7

x=9

put x= 9 in 1

9+y=17

y= 17-9

y=8.

7 0
3 years ago
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