Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
60 degrees, 55 degrees, and 50 degrees respectively
Step-by-step explanation:
Equation: m<1+m<2+m<3=180
1. 40+80+x=180 Subtract 120(because 40+80=120)
x=60
2. 50+75+x=180 subtract 125 (50+75=125)
x=55
3. 50+80+x=180 subtract 130 (50+80=130)
x=50
Answer:
3/4 of the area of the circle is of 
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
In which the center is 
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:
Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:
Area of the circle:
What is 3/4 of its area?
3/4 of the area of the circle is of squared units.
The simplified form of 64/88 is 8/11I believe
The question is:
19. if g(x) = 3 + x + e^x, find the inverse function of g (4).
Solution:
1) Put the equation as y = 3 + x + e^x
2) Solve for x = > x + e^x = y - 3
3) switch x and y => y + e^y = x - 3
4) y is the inverse
5) find y for the value requested (x = 4)
=> y + e^y = 4 - 3
=> y + e^y = 1
the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.
Answer: 0.
