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Ber [7]
3 years ago
13

11y^2-19y-10=-4y^2 all real solutions

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

y=5/3 is the only real solution

Step-by-step explanation:

Solve for y over the real numbers:

11 y^2 - 19 y - 10 = -4 y^2

Add 4 y^2 to both sides:

15 y^2 - 19 y - 10 = 0

The left hand side factors into a product with two terms:

(3 y - 5) (5 y + 2) = 0

Split into two equations:

3 y - 5 = 0 or 5 y + 2 = 0

Add 5 to both sides:

3 y = 5 or 5 y + 2 = 0

Divide both sides by 3:

y = 5/3 or 5 y + 2 = 0

Subtract 2 from both sides:

y = 5/3 or 5 y = -2

Divide both sides by 5:

Answer: |

| y = 5/3 or y = -2/5

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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

__

<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

__

<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
What is the value of cos A?
BlackZzzverrR [31]

Step-by-step explanation:

  • h²=p²+b²
  • h²=24²+7²
  • h²=576+49
  • h=√625
  • h=25

tanA=p/h

  • 24/25

its yr ans

hope it helps.

<h2>stay safe healthy and happy....</h2>
3 0
3 years ago
Express 31% as a fraction in its lowest form
Natasha2012 [34]
31 ------ 100 that's is what I got in the lowest form x
5 0
3 years ago
during one month the orangevale parks and recreation district spent $5720 for various activities. they spent $1430 on mommy and
AysviL [449]

To solve this problem, we must figure out what percent of the total spending was spent on mommy and baby exercise programs. To figure this out, we should divide how much was spent on the mommy and baby exercise by the total amount spent on the district activities.

$1430/$5720 = 0.25

This is a percentage, or a portion out of 100, which means we must multiply this decimal by 100 to find its equivalent percentage.

0.25 * 100 = 25

Therefore, your answer is 25% of the total spending was spent on mommy and baby exercise programs.

Hope this helps!

5 0
3 years ago
-2v3 + v75
Lena [83]

Answer:

a)      3\sqrt{3}

Step-by-step explanation:

Step(i):-

Given     - 2 √3 + √75

     we know that        25 × 3 = 75

                 - 2 √3 + √75    

            =    -2 √3 + \sqrt{25 X 3}

By using

       \sqrt{ab} = \sqrt{a}  \sqrt{b}

          =  -2\sqrt{3} + \sqrt{25} X \sqrt{3}

         =  -2\sqrt{3} + 5  \sqrt{3}

        = (-2 + 5 ) \sqrt{3}

       = 3\sqrt{3}

 

3 0
3 years ago
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