Answer:
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠B as the reference angle,
BC represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine m∠B, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin B = 2/3 = 0.667
∠B = Sin^-1(0.667)
∠B = 41.84° to the nearest hundredth.
Answer:
Step-by-step explanation:
Answer:
139.36
Step-by-step explanation:
first you do 8*8 because that would be the area of the square part
8*8=64
then find the area of the semicircle
first the Radis of it is 4 because 8/2=4
A=3.14R^2/2
3.14*4^2/2
3.14*16/2
50.24/2
25.12
now because there are 3 of the semicircles you do
25.12*3
75.36
then you add the 64 from the square to get your answer
75.36+64
139.36
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
