The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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Answer:
small number = -3
large number = 12
Step-by-step explanation:
Suppose two numbers are x and y
smaller number = x
larger number = y
Given that,
The difference of two numbers is 15
<h2>Equation 1</h2><h3>y - x = 15</h3>
Five times the smaller is the same as 9 less than twice the larger.
<h2>Equation 2</h2><h3>5x = 9 - 2y</h3>
Solve them
-x = 15 - y
x = y -15
put value of x in equation 2
5(y - 15) = 9 - 2y
-75 + 5y = 9 - 2y
-75 - 9 = -2y - 5y
-84 = -7y
y = 84/7
y = 12
x = 12 - 15
x = -3
Answer:
D. x = 1.7 or x = 5.7
Step-by-step explanation:
The left side of the equation is graphed in blue. The right side of the equation is graphed in red.
The solution of the equation is the x (and y) that make both equations true.
On the graph these solutions are the points where the two graphs intersect.
Those two points have x values that are positive (and y's that are negative) Only answer D. has x-values that correspond to the x-values of the points of intersection.
Answer:
235.62 cubed yards
Step-by-step explanation:
Area of a cylinder = pi(r^2)*h
pi(5^2)*3 = 235.62
