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natali 33 [55]
3 years ago
14

Which of the following trigonometric ratios are correct?

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

9514 1404 393

Answer:

  D, F

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with this. It reminds you ...

  Sin = Opposite/Hypotenus

  sin(40°) = x/b . . . . matches D

  Cos = Adjacent/Hypotenuse

<em>   cos(40°) = a/b . . . . no match</em>

  Tan = Opposite/Adjacent

  tan(40°) = x/a . . . . matches F

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Solve for a: 3a – 5(a – 2) = 34<br><br> a = -12<br><br> a = 0<br><br> a = -22<br><br> a = 1
Evgen [1.6K]

3a - 5(a - 2) = 34

Distribute -5 inside the parentheses

3a - 5a + 10 = 34

Combine like terms

-2a + 10 = 34

Subtract 10 from both sides

-2a = 24

Divide both sides by -2

a = -12

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Find the equation for the plane through the points Po(3,-2,5), Qo(-3,-1,-5), and Ro(0,-4,4) The equation of the plane is Type an
Vedmedyk [2.9K]

Answer:

- 21 x + 24 y + 15 z =120

Step-by-step explanation:

Given that

Po(3,-2,5), Qo (-3,-1,-5), and Ro (0,-4,4) ,These are the point in the space.

We know that equation of a plane is given as

\begin{vmatrix}x-x_1 & y-y_1 &z-z_1 \\ x_2-x_1 & y_2-y_1 &z_2-z_1 \\ x_3-x_1 &y_3-y_1  & z_3-z_1\end{vmatrix}=0\\

\begin{vmatrix}x-0 & y+4 &z-4 \\ 3-0 & -2+4 &5-4 \\ -3-0 &-1+4  & -5-4\end{vmatrix}=0.

\begin{vmatrix}x & y+4 &z-4 \\ 3 & 2 &1 \\ -3 &3  & -9\end{vmatrix}=0.

Now by solving above determinate we get

x( -18 -3 ) -(y+4 ) ( -27 +3 ) + ( z- 4) (9+6) = 0

-21 x +24 y -24 x 4 + 15 z - 24 = 0

- 21 x + 24 y + 15 z -120 = 0

- 21 x + 24 y + 15 z =120

Therefore the equation of the plane will be

- 21 x + 24 y + 15 z =120

6 0
3 years ago
Type the correct answer in each box.
Harman [31]

Answer:

PLZZ MARK ME BRAINLIEST..!

Step-by-step explanation:

Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f

Add for total weight: 7 1/10 f +2

Dads fish: 3f+2, 4/5f, 2f+4, 1/2f

Add for total weight:  6 3/10f +6

set the 2 total weights equal:

6 3/10f +6 = 7 1/10f +2

Subtract 6 3/10f from each side:

6 = 8/10f  + 2

Subtract 2 from each side:

4 = 8/10f

Divide both sides by 8/10:

f =  5

Bridget's first fish weighed 5 ounces.

Dads first fish weighed:  2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.

8 0
3 years ago
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