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3 years ago

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:

Pre-Algebra

Equality Properties

Trigonometry

Trig Inverses

Step-by-step explanation:

Step 1: Define

cosθ = 0.3667

Step 2: Solve for θ

Trig inverse: θ = cos⁻¹(0.3667)
Evaluate: θ = 68.4878°
Round: θ ≈ 68°

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Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Prove: m∠6=70∘

Darina [25.2K]

Answer:

Angle Bisector Theorem
Sum of Adjacent Angles
Co-interior angle property
Additive law

Step-by-step explanation:

Note: Diagram for Question is attached

1. Angle Bisector Theorem

BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.

2. Sum of Adjacent Angles

Two adjacent angles can be added together to find the larger angle that is formed by the two angles.

3. Co-interior angle property

Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)

4. Additive law

By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.

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3 years ago

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Answer:

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How do you solve 27?

dedylja [7]

We have

$\left(\dfrac{2}{3}\right)^x=\dfrac{2^x}{3^x}$

And we want

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Another way to read it is

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It should be clear that the solution is $x=4$

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Write an equation of the translation of y=3/x with asymptotes of x=7 and y= -5

Afina-wow [57]

The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5

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3 years ago

Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than s

Semenov [28]

Answer:

14 km

Step-by-step explanation:

6 km in the afternoon

x km in the morning

6= x- 25%

6= 0.75x

x= 6/0.75

x= 8 km

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3 years ago