the standard form for a horizontal ellipse is
X^2/a^2 + y^2/b^2 = 1
Substitute 54 for b and and use (8,18) as the
point to find a
x=8
y=18
8^2/a^2 + 18^2/54^2 =1
64/a^2 + 324/2916 = 1
324/2916 reduces to 1/9
64/a^2 + 1/9 = 1
64/a^2= 1-1/9
64/a^2 = 8/9
64*9/8 = a^2
576/8 = 72
A^2 = 72
A = square root(72) = 8.485
So formula
would be x^2/72 + y^2/2916 =1
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.
The area of a triangle can be calculated using the formula
1/2 (base) (height)
Let's substitute our known values, letting x represent the value of the height of the triangle.
16 = 1/2* x* 2x
Let's Simplify!
16 = x^2
Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.
x= positive OR negative 4.
However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.
The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches
Answer:
4 miles per hour
Step-by-step explanation:
I took it on k-12
Answer: 
Step-by-step explanation:
Let the smallest angle be x.
Then, the middle angle is x+30.
The largest angle is 2x+30.
Angles in a triangle add to 180 degrees, so:
So, the angles measure
