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Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
The area of the region is 25,351 .
Step-by-step explanation:
The Fundamental Theorem of Calculus:<em> if </em><em> is a continuous function on </em>
<em>, then</em>
where is an antiderivative of
.
A function is an antiderivative of the function
if
The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.
To find the area of the region between the graph of the function and the x-axis on the interval [-6, 6] you must:
Apply the Fundamental Theorem of Calculus