Answer:
The perimeter of Δ ABC is 40 cm ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- Circle D is inscribed in triangle ABC
- The circle touches the side AB at H , side BC at F , side CA at G
- BF and BH are tangents to circle D from point B
∴ BF = BH ⇒ tangents drawn from a point outside the circle
- CF and CG are tangents to circle D from point C
∴ CF = CG ⇒ tangents drawn from a point outside the circle
- AG and AH are tangents to circle D from point A
∴ AG = AH ⇒ tangents drawn from a point outside the circle
∵ CG = 6 cm ⇒ given
∴ CF = 6 cm
∵ CB = 11 cm ⇒ given
∵ CB = CF + FB
∴ 11 = 6 + FB ⇒ subtract 6 from both sides
∴ FB = 5 cm
∵ FB = BH
∴ BH = 5 cm
∵ AH = 9 cm ⇒ given
∵ AH = AG
∴ AG = 9 cm
∵ AB = AH + HB
∴ AB = 9 + 5 = 14 cm
∵ AC = AG + GC
∴ AC = 9 + 6 = 15 cm
∵ BC = 11 cm ⇒ given
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 14 + 11 + 15 = 40 cm
* The perimeter of Δ ABC is 40 cm
The answer is 18, the answer is always just the number in the brackets( hope this helps)
If the cakes are circles,
3.14(4)2= 50.24
3.14(5)2= 78.5
78.5-50.24= 28.26
#1 is 28.26
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
