Step-by-step explanation:
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B the answer to the problem
X=5
Y=8
Z=8
3x+2y-z=23 --> z=-23+2y+3x
Y=8
Substitute for -2y+4z=16
-2(8)+4(-23+2(8)+3x)=16
-16-28+12x=16
-44+12x=16
12x=60
X=5
Substitute known y and x values into z=-23+2y+3x
Z=-23+2(8)+3(5)
Z=-23+16+15
Z=8
Answer:
The radius of the circle is approximately 14.42cm
Step-by-step explanation:
If the length of the chord is 16cm and it is 12cm from the center of the circle.
it means it forms 2 right angles while dividing the center of the chord, to the center of the circle, and at right angle. Length of the adjacent then become 16/2 = 8cm
To calculate the radius which forms hypothenus of the right angle triangle, we use Pytagoras Theorem
Say = + , where r is the radius of the circle
= 144 + 64
= 208
r =
r = 14.4222
r ≈ 14.42
Answer:
yes. that is correct. so it would seem.