Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Are you sure you want the length to be smaller than the width? It's not exactly the way they're defined. I'll solve it that way, but it's an odd question.
EquationsP = 2L + 2W
Area = L*W
Substitution and Solve2L + 2W = 36
L*W = 56
Divide the first equation by 2
L + W = 36/2
L + W = 18
Solve for L
L = 18 - W
Put this result in the second equation
W(18 - W) = 56 Remove the brackets
18W - W^2 = 56 Transfer the Left Side to the Right.
0 = W^2 - 18W + 56 Factor
0 = (W - 14)(W - 4)
W - 14 = 0
W = 14 <<<<<Answer
W - 4 = 0
W = 4
CommentBoth 14 and 4 are in cm
W = 14 cm <<<< answer
L = 4 <<<<< answer
Answer:
5
Step-by-step explanation:
According to the question, A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12.We are now asked to find the height of the frustum.
---The height of this frustum is equal to the distance of its smaller base from the center of the sphere.
Therefore,it is assigned the pattern
H = √(r1² - r2²
Where r1 is the radius of the sphere
And r2 is the radius of the other base of the frustum
H is the height that we are looking for
H = √(13² - 12²)
= √( 169 - 144 )
= √ 25
H = 5
