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Korolek [52]
2 years ago
12

Find the value of the cosine for ZA.

Mathematics
1 answer:
baherus [9]2 years ago
5 0

Answer:

C. \frac{8\sqrt{89}}{89}

Step-by-step explanation:

Cos A = Adj/Hyp

Reference angle = <A

Adjacent side = 8 ft

Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)

Thus:

Cos (A) = \frac{8}{\sqrt{89}}

Rationalize

Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}}

Cos (A) = \frac{8\sqrt{89}}{89}

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Marina86 [1]
I THINK ITS B HOPE THIS HELP
7 0
3 years ago
Can anyone help me with these two problems? I found the distance to one. Please, assignment is due tonight. Thank you.
klasskru [66]

Answer:

  32 mi @ N77°E

Step-by-step explanation:

The route of travel forms legs of a right triangle, so the final distance (d) from harbor can be found using the Pythagorean theorem:

  d² = 28² +16² = 784 +256 = 1040

  d = √1040 ≈ 32.249 . . . miles

___

The angle (α) added to the original N47°E bearing can be found using the fact that opposite and adjacent sides are given. So, they can tell you the tangent of the angle:

  tan(α) = 16/28

  α = arctan(16/28) ≈ 29.74°

Then the bearing to the final position is ...

  47° +29.74° = 76.74°  . . . . . east of north

Rounded to whole numbers, the final position from harbor is ...

  32 miles @ N 77° E

6 0
3 years ago
Read 2 more answers
PLEASE HELP
Tamiku [17]
1 divided by 10 is equal to 0.1 so you multiply 52 by 0.1 and you get an answer of 5.2 inches

6 0
3 years ago
2. Destiny rents games from a company that charges a $9.00 monthly fee and $2.50 for each game rental. She ends up paying $26.50
slega [8]

Answer:

x = 7

and it means that 7 games were rented that month

Step-by-step explanation:

Here, we are to solve for x from the given equation

we have this as:

2.5x + 9 = 26.5

2.5x = 26.5-9

2.5x = 17.5

x = 17.5/2.5

x = 7

What x means in this case is that the number of games rented in the month is 7

7 0
2 years ago
Write the equation of the line that passed through the points (-1,6) and (5,0)
lidiya [134]

Answer: y = -1x + 5

Step-by-step explanation:

1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)

(0 - 6)/ (5 -(-1))

2. Solve for slope

-6/6

= -1

3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line

(y -(-1)) = -1( x - 6)

4. Solve for y

y + 1 = -1x + 6 -----> y = -1x + 5

7 0
3 years ago
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