Answer: 120 ft
<u>Step-by-step explanation:</u>
The Ellipse equation is: where
- (h, k) is the center
- "a" is the horizontal radius
- "b" is the vertical radius
- c is the distance from the center to the foci: |a² - b²| = c²
Given: horizontal diameter = 122 → horizontal radius = 61 = a
vertical diameter = 22 → vertical radius = 11 = b
Foci (c): 61² - 11² = c²
3721 - 121 = c²
3600 = c²
±60 = c
Let (h, k) = (0, 0)
Then the foci are located at -60 and +60.
The distance between them is 60 + 60 = 120
Answer:
Right option is c 16 cm
Step-by-step explanation:
From the question,
The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.
Using pythagoras theorem,
a² = b²+c²...................... Equation 1
Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.
Given: a = 34 cm, b = 30 cm.
Substitute into equation 1
34² = 30²+c²
c² = 34²-30²
c² = 1156-900
c² = √256
c² = 16 cm.
Hence the right option is c 16 cm
Answer:
The answer is 4.
Step-by-step explanation:
In order to get this answer you have to use inverse operations. The inverse operation for multiplication is always division. So, you have to solve the equation 7.5 ÷ 1.75. When getting the answer to that (the answer of the equation above), you get <em>n</em>, as it is only a one-step equation. I hope I could help you.
Step-by-step explanation:
Given that,
The side of a square field = 70 m
The dimensions of a rectangular field with length 90m and breadth 60m.
The distance covered by the person on square field is given by :
P = 4×side
= 4×70
= 140 m
The distance covered by the person on a rectangular field is given by :
P = 2(l+b)
= 2(90+60)
= 2×150
= 300 m
Hence, a person will cover more distance in the rectangular field.
Answer:
The center of circle reprsented by given equation is (h,k) = (-4,8)