If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?
2 answers:
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The Question is incomplete the Complete Question is
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?
Answer:
Therefore the value of tan x is
Step-by-step explanation:
Given:
hypotenuse = 10 cm'
side adjacent to the acute angle 'x' = 6 cm.
side opposite to the acute angle 'x' = 8 cm.
To Find:
tan x = ?
Solution:
In Right Angle Triangle , Tan Identity we have
Substituting the values we get
Therefore the value of tan x is
The answer is 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.