Which of the following polygons is not a regular polygon?

Answers

Answer 1

Answer: The above is scam. Listen to me the correct answer is the theird.

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A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 L of a solutions containing 42% insecticide. How much of each solution should be used?

Answers

Let x L of solution 1 is used
and 2nd solution is (200-x)L

According to question,
30% of x + 50% of (200-x) = 42% of 200L
0.3x + 0.5(200-x) = 84
0.3x - 0.5x + 100= 84
0.2x = 16
x=80

Therfore 80L of solution 1 and 120L of solution 2 is mixed.

The Sine and Cosine RulesRight-angled triangle Trigonometry
Please note your working out with your answer, thank you.

Q11) A lifeguard on top of an observation tower 12.5m high notices a surfer in trouble at an angle of depression of 8 degrees. How far, correct to one decimal place, is the surfer from the tower?

Q13) A boat is 420m from the base of the cliff. The angle of depression of the boat from the top of the cliff is 28 degrees. Find the height of the cliff to the nearest metre.

Answers

Hello,
I am not doing that with sin, cos and pythagorean theorem.

DEFINITION: we call TAN x=sin x / cos x
This means that in a right triangle the tangent of an angle is the ration of opposed side by adjacent side.

11: tan 8°=12.5/d
==>d=12.5/tan 8°=12.5/0.14054...=88.942121...m≈88.9 (m)

12:
tan 28°=h/420
==>h=420*tan 28°=420*0.5317...=223.3179...≈223.3 (m)

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x squared minus 24 x plus 45 over quantity 12 x squared minus 48 x minus 60.

Answers

x² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

(x² + x - 12)(12x² - 48x - 60)
(x² - x - 20)(3x² - 24x + 45)

12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720
3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900

12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

12x^4 - 36x³ - 252x² + 516x + 720
3x^4 - 27x³ + 9x² + 435x - 900

12(x^4 - 3x³ - 21x² + 43x + 60)
3(x^4 - 9x³ + 3x² + 145x + 300)

4(x^4 - 3x³ - 21x² + 43x + 60)
(x^4 - 9x³ + 3x² + 145x + 300)

Options are: f(x) = 2x - 1 , f(x) = 2x - 7 , f(x) = x - 6 , f(x) = 1 - x , None of the choices are correct.

Answers

Answer:

f(x) = 2x - 7

Step-by-step explanation:

Plug in the numbers on the right and see what answer is right

f(x) = 2x(1) - 7=-5

f(x) = 2x(2) - 7=-3

f(x) = 2x(3) - 7=-1

f(x) = 2x(4) - 7=1

I am a decimalIf you double me,my double is between 0.6 and 0.7,
But closer to 0.6.

My Thousandths digit is not a 2.
But the thousandths digit of my double is.
What decimal might I be?

Answers

0.6<2x<0.65 (because it's closer to 6)
0.3<x<0.325

Since the thousandths digit of 2x is 2, then the thousandths digit of x is 1 or 6, so the decimal could be 0.301, 0.302, 0.311, 0.312, 0.321

Hope this helps :)

Numbers greater than 0.3 and less then 0.35 are between .6 and .7 when doubled.

Lets assume it is a decimal that goes up to the thousandths.
0.310 to 0.324 Would be closer to .6 than .7. We know the thousands digit has to be a 1 or a 6 because its double ends in a two. So it looks like our options are .311, .316 and .321.

Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)