Given right triangle XYZ what is the value of tan 60°
2 answers:
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Answer:
tan (60) = √3
Explanation:
The triangle in question is a right triangle; hence, we will apply the Pythagorean theorem to find the length of the unknown side.
unknown side = sqrt [(hypotenuse)^2 + (other side)^2]
unknown side = 21√3 units
Given it is a right triangle, we can utilize special trigonometric ratios.
Thus:
tan θ = opposite / adjacent
In this triangle:
θ = 60°
Opposite side = 21√3
Adjacent side = 21
Now substituting into the equation to calculate tan 60 gives us:
tan (60) = (21√3) / (21) = √3
I hope this information is useful:)
Answer:
tan (60) = √3
Explanation:
The triangle in question is a right triangle; hence, we will apply the Pythagorean theorem to find the length of the unknown side.
unknown side = sqrt [(hypotenuse)^2 + (other side)^2]
unknown side = 21√3 units
Given it is a right triangle, we can utilize special trigonometric ratios.
Thus:
tan θ = opposite / adjacent
In this triangle:
θ = 60°
Opposite side = 21√3
Adjacent side = 21
Now substituting into the equation to calculate tan 60 gives us:
tan (60) = (21√3) / (21) = √3
I hope this information is useful:)
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Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
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This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
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Answer:
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Step by step Explanation:
Assuming the original goal is denoted as x.
As stated
Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.
1253% can be expressed as a decimal.
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12.53 × x = 313490
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Given :
Miki possesses 104 nickels and 88 dimes. She intends to sort her coins into sets where each set has an equal count of both nickels and dimes.
Last year, 216,000 cars were sold.
To Find :
An equation that can identify the number of trucks, t, sold the previous year.
Solution :
Let t represent the quantity of trucks sold and c represent the cars sold.
The statement indicates that the quantity of cars sold exceeded three times the trucks sold by 39,000.
Thus,
Plugging the value of c = 216000 into the equation above yields :
This gives us the solution we seek.