Answer:
Step-by-step explanation:
To find an equation of the sphere with center (4, −12, 8) and radius 10
intersection with xy-plane
Put z=0
(A circle with centre at (4,-12) and radius 6)
intersection with xz-plane
Put y =0
Sum of squares cannot be positive, so DNE
intersection with yz-plane
Put x=0
A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84
Answer:
As a fraction: 141/20. As a percentage: 705%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
18/20 × 100 = 90%
I hope this helps!
Answer:
Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft
Step-by-step explanation:
Decagon has 10 sides So 60/10 = 6 (each side = 6ft )
The sum of the interior angles of a decagon is 1 440 degrees.
There are 10 equal isosceles triangles of base angles 72 degrees in a decagon
Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.
Height of right-angled triangle h = 3 tan 72 ft.
Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft
Area of decagon = 20 right-angled triangles = 277 squared ft
