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igor_vitrenko [27]
4 years ago
8

Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 29, adjacent side A C is 21, opposite side C B is 20. For the triangle

above, find sin A. a. 0.724 c. 50° b. 49° d. 0.69 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
3 0

Answer: D. 0.69

Step-by-step explanation:

You can use SOHCAHTOA to find the right trigonometric identity to use:

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

The opposite side of angle A is side BC, which is 20 units long.

The hypotenuse is AB, which is 29 units long.

Opposite / hypotenuse = 20 / 29, which equals 0.689.

The correct choice is D.

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Use substitution to solve the<br> following system of equations.<br> 2x + 4y = 12 AND x=y - 3
Kamila [148]

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

8 0
3 years ago
A 76 foot piece of rope is cut into three pieces where one piece is three times longer than the other two equal pieces. How long
jonny [76]
Let the length of one of the shorter pieces be \ell. Then, we know that two of the pieces are that length, and the third piece is 3 \ell. Since these are all pieces of a rope, all we need to do to figure out the lengths is add all those together, solve for \ell, and then plug that back in to the desired lengths:

3 \ell + \ell + \ell = 76 ft.
5 \ell = 76 ft.
\ell = 15.2 ft.

Shorter pieces: \ell = \bf 15.2 ft.
Longer piece: 3 \ell = \bf 45.6 ft.
4 0
4 years ago
For the function y = -1 + 6 cos(2π/7(x-5)), what is the minimum value
lorasvet [3.4K]

Answer:

idk

Step-by-step explanation:

7 0
3 years ago
Evaluate: 5-^2 =<br> pls help
Elanso [62]

Answer:

1/25

Step-by-step explanation:

5^-2

We know that a^ -b = 1/ a^b

5^-2 = 1/ 5^2

       = 1/25

3 0
4 years ago
Please help asap!! binomial factor
ser-zykov [4K]

Answer:

3x - 8

Step-by-step explanation:

the factors of the following equation 9x^{2}  - 64 = are:

(3x - 8)(3x + 8)

If you look the equation you can notice that you don´t have a term like -48x or 48x, so the factors must have a positive and negative sign.  

Remember first you need to multiply each segment and finally add.

(3x - 8)(3x + 8) = 9x^{2} - 24x + 24x -64 = 9x^{2}  - 64 =

8 0
4 years ago
Read 2 more answers
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