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Mamont248 [21]
3 years ago
8

If the sin 60=√3/2, then which statement is true?

Mathematics
2 answers:
MakcuM [25]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Sin 60 = \frac{\sqrt{3}}{2} is the statement given in this question.

We know from the trigonometric identities.

Sin x = cos ( 90-x )

In other words Sin and Cos are complementary.

Therefore, Sin 60 = Cos ( 90 - 30 )

                              = Cos (30)

                             = \frac{\sqrt{3}}{2}

Therefore, option A is the answer

Naddika [18.5K]3 years ago
3 0
Cos30 = sin(90 - 60) = √3/2, because cos and sin are complements

cos120 = cos(180 - 60) = -cos60 = -1/2
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Solve the right angle trig. round to the nearest tenth.
Tresset [83]

Answer:

x ≈ 58.9

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

<u>Geometry</u>

  • [Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing side length.

<u>Step 2: Identify Variables</u>

<em>POV from the angle measure</em>

Angle = 23°

Opposite Leg = 25

Adjacent Leg = <em>x</em>

<em />

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitution [tangent]:                    tan23° = 25/x
  2. Multiply <em>x</em> on both sides:                xtan23° = 25
  3. Isolate <em>x</em>:                                          x = 25/tan23°
  4. Evaluate:                                          x = 58.8963
  5. Round:                                             x ≈ 58.9
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The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape s
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Answer:

2:1

Step-by-step explanation:

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The base of a triangular tent has angles of 45 degrees and 75 degrees. What is the measurement of the third angle?
vekshin1

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Step-by-step explanation:

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Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
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The answer would be m= -4/3
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3 years ago
lilli has $3.65 comprised of quarters and dimes floating on the bottom of her bag she has five more dimes than twice her quarter
marta [7]

Answer:

= 3.65.

Step-by-step explanation:

You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.

D + Q = 23

You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:

0.10*D + 0.25*Q = 3.65

That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.

So you have a system of linear equations:

D + Q = 23

0.10D + 0.25Q = 3.65

I'm going to multiply the bottom row by 100 to clear the decimals.

D + Q = 23

10D + 25Q = 365

Now I can multiply the top row by -10 to eliminate the D terms

-10D - 10Q = -230

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________________

0D + 15Q = 135

15Q = 135

Q = 9

Tom has 9 quarters.

If D + Q = 23, and Q = 9, then:

D + 9 = 23

D = 14

Tom has 14 dimes.

Always good to double check:

9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.

2.25 + 1.40

8 0
3 years ago
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