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timama [110]
3 years ago
6

EXPERT HELP I'LL GIVE BRAINLIEST: C or D

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Answer:

Step-by-step explanation:

A=(3.14d^2)/4

A=0.785d^2

A=0.785(10^2)

A=78.5 yd^2

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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t
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Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle \theta, is 1.42. We are asked to find the length of the side opposite angle \theta.

We can represent our given information in an equation as:

\text{tan}(\theta)=1.42

Now, we will use arctan to solve for theta as:

\theta=\text{tan}^{-1}(1.42)

\theta=54.85^{\circ}

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}

20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}

20\cdot 0.81764=\text{Opposite}

\text{Opposite}=20\cdot 0.81764

\text{Opposite}=16.3528

\text{Opposite}=16.4

Therefore, the opposite side to angle theta is 16.4 feet.

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