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DENIUS [597]
2 years ago
5

Can someone help with number 4. I will reward brainliest.

Mathematics
2 answers:
viva [34]2 years ago
7 0

<u>Let's simplify the problem down a little</u>:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: 2x^2+5x-3=0

<u>Now let's solve this equation as a quadratic</u>:

 2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3

<u>Now set the x value of '1/2', to sin(θ)</u>

  • <em>it can't be -3, because trig functions can't equal a negative number</em>

         sin(θ) = 1/2

            θ = π/6, <em>which is between the range given</em>

<u>Answer: π/6</u>

Hope that helps!

liraira [26]2 years ago
5 0

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

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How to order -14.4, -14, -14 1/5 from least to greatest
ElenaW [278]
Think of  thermometer the negative degrees are the coldest so are the lowest on the vertical column

first convert -14 1/5 to decimals  =  -14.2

so the order is 

-14.4 , -14 1/5 , -14.

8 0
3 years ago
In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same
m_a_m_a [10]

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)

Expected value= -$0.26

Therefore the expected value of playing the game once is -$0.26

5 0
2 years ago
A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
The equation for the horizontal line that contains the point E(3, –4)?
Effectus [21]
The slope of a  horizontal line will have a value equal to 0: 
m=0
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

We have a point ( E(3,-4) ) and the slope of this line (m=0); therefore:y
y+4=0(x-3=
y+4=0
y=-4

Answer: the equation for the horizontal line that contains the point E, would be:
y=-4
7 0
3 years ago
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height
joja [24]

\frac{137+150+144+149+x}{5} =141

x=125

Therefore, the man is shorter than 141 centimeters.

7 0
3 years ago
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