Answer:
(0, ±2√5)
Step-by-step explanation:
The foci are the points on the major axis that are the length of the semimajor axis away from the co-vertices.
Here, that means their y-coordinate is ±√(36-16) = ±√20 = ±2√5.
The x-coordinate is that of the major axis, x=0.
Remark.
Thank you for the clear diagram. You need to find AB somehow. When you do you can find the desired angle by using the inverse tan.
Step One
Find AB
AB = the radius of the cone
AB = 1/2 the diameter of the cone
AB = 1/2 * 4
AB = 2 inches.
Step two
Determine The Tangent of the desired angle
Tan(A) = opposite of adjacent
opposite side = h = 6 inches
Adjacent = AB = radius = 2 inches.
Tan(A) = 6/2 = 3
Step 3
Find the inverse Tan
A = inverse Tan(A)
A = inverse Tan(3)
A = 71.57 degrees <<<<< Answer.
There are other ways of finding the angle you want, but I think this is the quickest.
It should be 7,620 since 10x10x10 is 1,000 and you multiply that by 7.62 and it equals 7,620
By using what we know about intersecting lines, we will see that:
- a) ∡7 = 47°
- b) 47° + (2x - 5)° = 180°
- c) x = 69
<h3>
How to get the measures of the angles for two intersecting lines?</h3>
When two lines intersect, 4 angles are formed. There are two properties that these angles have.
- If the angles are adjacent, then their measures add up to 180°
- If the angles are not adjacent, these angles have the same measure.
a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
brainly.com/question/1884491