Answer: 11.5
Step-by-step explanation:
The formula for finding area of triangle is given by :
Area = 
x base x height
From the question :
Area = 80.5
base = 14
height = ?
substituting into the formula , we have
80.5 = x 14 x height
80.5 = 7x height
divide through by 7 , that is
height = 80 . 5 / 7
height = 11.5
Answer:
The values of x is -30 degrees and undefined
None of these values fall within the given range
Thus, no value within the given range is the solution to the equation
Step-by-step explanation:
Here, we want to find the value of x that works for the equation in the selected range
2cot^2x = -3csc x
Mathematically, from trigonometry;
cot^2x = csc^2x - 1
Substitute this above
2(csc^2x - 1)= -3csc x
let csc x = b
2(b^2-1) = -3b
2b^2 - 2 + 3b = 0
2b^2 + 3b - 2 = 0
2b^2 + 4b - b - 2 = 0
2b(b+ 2) - 1( b + 2) = 0
(2b-1)(b + 2) = 0
2b = 1
b = -2
b = 1/2 = 0.5
or b = -2
Recall;
csc x = b
x = csc^-1 b
x = csc^-1 0.5
x = undefined
Secondly;
b = -2
x = csc^-1 (-2)
x = -30 degrees
As we can see , between the points
0 ≤ x < 360
None of our answers fall in these range
<span>Equation: P% * X = Y
</span>
P% = Y/X
P% = 34/675
P = 0.0504
Convert decimal to percent:
P% = 0.0504 * 100 = 5.04%
The answer for this is the rules is x n y
Trigonometric functions are not only used in cases of an object that has a cyclical behavior.
<h3>What is a trigonometric function?</h3>
It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.
Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown <em>angles</em> in geometric figures.
It can also be used to model the fluctuations in temperature data for a particular year.
The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.
Learn more about trigonometry on:
brainly.com/question/24349828
