A) (5s + 2 / 4) x (4) = Perimeter
B) ( s + 9) x (2) + ( 3s - 5 ) x (2) = Perimeter
C) 22 + 48 = 70
An ellipse (oval shape) is expressed by the following equation:

where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).
We can find the foci by using

36 - 11 =


Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.
So the foci are (-5, 0) and (5, 0)
Hope this helps :)
The LCM will be the values that are common to both factors. From the given values the LCM will be 2² * 3² * 5
<h3>Least common multiple</h3>
LCM is the lowest number that can divide all other numbers given in an expression.
Given the prime factorizations 2² * 3² * 5 and 2*3*5. The LCM will be the values that are common to both factors.
From the given values the LCM will be 2² * 3² * 5
Learn more on LCM here: brainly.com/question/233244
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Answer:
C = 68.667°
a = 123.31 yd.
c = 114.90 yd.
Step-by-step explanation:
The missing image for the question is attached to this solution.
In the missing image, a triangle AB is given with angles A and B given to be 88° 35' and 22° 45' respectively
We are them told to find angle C and side a and c given that side b = 47.7 yd.
A = 88° 35' = 88° + (35/60)° = 88.583°
B = 22° 45' = 22° + (45/60)° = 22.75°
The sum of angles in a triangle = 180°
A + B + C = 180°
C = 180° - (A + B) = 180° - (88.583° + 22.75°) = 68.667°
The sine law is given as
(a/sin A) = (b/sin B) = (c/sin C)
Using the first two terms of the sine law
(a/sin A) = (b/sin B)
a = ?
A = 88.583°
b = 47.7 yd.
B = 22.75°
(a/sin 88.583°) = (47.7/sin 22.75°)
a = (47.7 × sin 88.583°) ÷ sin 22.75°
a = 123.31 yd.
Using the last two terms of the sine law
(b/sin B) = (c/sin C)
b = 47.7 yd.
B = 22.75°
c = ?
C = 68.667°
(47.7/sin 22.75°) = (c/sin 68.667°)
c = (47.7 × sin 68.667°) ÷ sin 22.75°
c = 114.90 yd.
Hope this Helps!!!
Step-by-step explanation:
Since AD bisects BC,
BD = DC.
Therefore 5x - 10 = 3x + 10 and x = 10.