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Mamont248 [21]
3 years ago
9

Find the missing angle

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0
164 or sum like that don’t take this as a definite answer cause I am not sure
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Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)
Katen [24]

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

3 0
3 years ago
find the value of the trigonometric function sin (t) if sec t = -4/3 and the terminal side of angle t lies in quadrant II
kodGreya [7K]

Answer:

sin(t) =\frac{\sqrt{7}}{4}

Step-by-step explanation:

By definition we know that

sec(t) = \frac{1}{cos(t)}

and

cos ^ 2(t) = 1-sin ^ 2(t)

As sec(t) = -\frac{4}{3}

Then

sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}

Now square both sides of the equation:

cos^2(t) = (-\frac{3}{4})^2

cos^2(t) = \frac{9}{16}\\\\

1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}

In the second quadrant sin (t) is positive. Then we take the positive root

sin(t) =\sqrt{\frac{7}{16}}

sin(t) =\frac{\sqrt{7}}{4}

8 0
3 years ago
Ann cuts her brownie into six equal parts and eats three pieces. Chris cuts his brownie into ten equal parts and eats four piece
Trava [24]

Answer:

no

Step-by-step explanation:

Ann ate 3/6, or 1/2 (50%) of hers.

Chris ate 4/10, or 2/5 (40%) of his.

Chris has more left.

5 0
3 years ago
Find the geometric mean between 12 and 20 find the answer in radical form or round to the nearest tenth if necessary
alex41 [277]

Geometric mean of two numbers is squre root of thir product.

Given numbers are 12,20

Geometric mean = √(12*20)

= √240

= 15.49

= 15.5

Mark as brainlist

8 0
3 years ago
IF YOU CAN HELP! That would be great!
iVinArrow [24]

5x^2 - 6x^2 = - x^2 so its either c or d.

and + 9x - )-3x) = 9x + 3x = + 12x

so the answer s C.

7 0
3 years ago
Read 2 more answers
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