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Serga [27]
3 years ago
15

Part II: Find the sine, cosine, and tangent ratios of <y ​

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

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P divided by 5 equals -32
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Answer:

p = -160

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

p/5 = -32

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Multiply 5 on both sides:                     p = -160
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Step-by-step explanation:

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Solve the equation below. Simplify if necessary.
SpyIntel [72]

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

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cross-multiply:

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Marques drops a plate from a height of 5 feet. When will the plate hit the ground?
nadya68 [22]

Answer:

<u>Option A. about 1 seconds</u>

Step-by-step explanation:

Let the initial speed u and the final speed v

Time t , distance s and acceleration of gravity g

The equation of motion are:

v = u + gt            ⇒(1)

s = ut + 0.5 gt²   ⇒(2)

v² = u² + 2gs      ⇒(3)

Marques drops a plate from a height of 5 feet.

So, u = 0 , s = 5 ft , g = 9.8 m/sec²

Substitute at (2)

s = ut + 0.5 gt²

5 = 0 * t + 0.5 * 10 * t²

∴ t² = 5/(0.5*9.8) = 1.02

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<u>The answer is option A. about 1 seconds</u>

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