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aliina [53]
3 years ago
9

I NEED HELP PLEASE!!!! THANK

Mathematics
1 answer:
Feliz [49]3 years ago
4 0
The symbols around the numbers in the list are absolute value bars.. they refer to the actual distance the number inside is away from "0" on a number line.  Since we always represent distance in positive terms, we can really assume the list will be  2,3, 7, 4....

the average of this list can be found by adding the 4 numbers and dividing by 4:
16 ÷ 4 = 4
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3 years ago
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
larisa86 [58]

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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

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