9514 1404 393
Answer:
D. 43 degrees
Step-by-step explanation:
The sum of angles in a triangle is 180°. If x represents the measure of the third angle, then ...
75° +62° +x = 180°
137° +x = 180° . . . . . . . . . collect terms
x = 180° -137° = 43° . . . . subtract 137° from both sides of the equation
The third angle measures 43°.
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
The value of the composite function is (f/g)(5)= 26
<h3>How to evaluate the
composite function?</h3>
The functions are given as:
f(x) = x^2+1 and g(x) = x-4
To calculate the composite function, we use the following formula
(f/g)(x)= f(x)/g(x)
So, we have:
(f/g)(5)= f(5)/g(5)
Calculate f(5) and g(5)
f(5) = 5^2+1 and g(5) = 5-4
This gives
f(5) = 26 and g(5) = 1
Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)
(f/g)(5)= 26/1
Evaluate
(f/g)(5)= 26
Hence, the value of the composite function is (f/g)(5)= 26
Read more about composite function at
brainly.com/question/10687170
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Answer:
Line A
Explanation:
Both lines have different patterns, but they both show that the amount of gallons of water increases as time increases. Line A moves more differently than line B. Line A shows an increase in that water is filling up quicker than line B. If you were to put points on a graph for both lines, you would figure out that the container for line A is filling up more quickly than the container in line B.
