Let x = Horseback riding and y = Parasailing
Eq. 1
3x + 2y = 192
Eq. 2
2x + 3y = 213
By elimination:
<span> 2(3x +
2y = 192)</span>
+ -3(2x + 3y =
213)
<span> -5y = - 255</span>
y = $ 51
Substitute y :
3x + 2y = 192
3x + 2(51) = 192
<span>x = $ 30
</span>
<span>Hope this
answer will be a good help for you.</span>
Answer: a) 
+ 
= 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+
= 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = 
= 48.5 and b = 
= 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
= 
c = 
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles
<h3>How to find altitude using visibility formula?</h3>
The visibility formula is given as follows:
v = 1.225√a
where
- a = altitude
- v = visibility
Therefore,
v = 67.1 miles
v = 1.225√a
67.1 = 1.225√a
divide both sides by 1.225
√a = 67.1 / 1.225
√a = 54.7755102041
square both sides
√a² = √54.7755102041
a = 7.40104789878
a = 7.4 miles
learn more on visibility here: brainly.com/question/16166215
Answer:
3/8
Step-by-step explanation:
3/4*1/2=3/8
3/8*1=3/8
*=multiply
