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Diano4ka-milaya [45]
3 years ago
7

Use a calculator to find the value of the acute angle 0, to the nearest degree. Cos0=0.3667

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

θ ≈ 68°

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties<u> </u>

<u>Trigonometry</u>

  • Trig Inverses

Step-by-step explanation:

<u>Step 1: Define</u>

cosθ = 0.3667

<u>Step 2: Solve for θ</u>

  1. Trig inverse:                    θ = cos⁻¹(0.3667)
  2. Evaluate:                          θ = 68.4878°
  3. Round:                             θ ≈ 68°
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How to solve 8x+y=23<br> -10x-y=-27
yuradex [85]
<h2>Hey there!</h2>

<h3>At first we have find the value of "y",</h3>

<h3>Finding the value of "y"</h3>

Here,

8x + y = 23 - 10x - y = - 27

10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8

80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)

<h3>By elimination method,</h3>

<h3>Equation (i) - (ii)</h3>

(80x + 10y) - (-80x - 8y) = 230 - (-216)

=> 80x + 10y + 80x + 8y = 230 + 216

=> 10y + 8y = 446

=> 18y = 446

=> y = 446/18

=> y = 24.7

<h3>Putting the value of "y" in Equation (i)</h3>

80x + 10y = 230

=> 80x + 10 × 24.7 = 230

=> 80x + 247 = 230

=> 80x = 230 - 247

=> 80x = -17

=> x = -17/80

=> x = - 0.21

<h3>Therefore the values of "x" and "y" are</h3>

x = -0.21 and y = 24.7

<h2>Hope it helps </h2>

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the maximum number of grams of fat (f) that should be in a diet varies directly as a person's weight (w). A person weighing 117l
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Let n be the amount of fat for the 90 lb person. Then:
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Answer:

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Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

Step-by-step explanation:

It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".

Cat owners-Wet food = 9

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We need to construct a two-way frequency table for the data.

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Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

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The answer is going to be:
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