Formula for circumference: C = 2pi*r
This becomes 201 cm = 2(3.14) r
Divide both sides of this eqn by 6.28:
201
------- = r = 32 cm (approx).
6.28
Answer:
176 in³
Step-by-step explanation:
Area is a 2-dimensional measure, so the scale factor for area of similar figures is the 2nd power of the linear scale factor. That is, the ratio of linear dimensions of the two figures is ...
smaller/larger = √(228/1425) = √(4/25) = 2/5 . . . . linear scale factor
Volume is a 3-dimensional measure, so the scale factor for volume of similar figures is the 3rd power of the linear scale factor. That is, the ratio of volumes of the two figures is ...
smaller/larger = (2/5)^3 = 8/125 . . . . . . . . volume scale factor
Multiplying this by the larger volume gives us the smaller volume:
(8/125)·(2750 in³) = 176 in³
Answer:
x = 3
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.
Step-by-step explanation:
Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.
We have to determine x.
Applying the Pythagoras Theorem,
AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}
⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²
⇒ x² + 6x + 38 = x² + 2x + 50
⇒ 4x = 12
⇒ x = 3 (Answer)
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)
The first term is 8, so 
Each time we want a new term, we add on 3
8+3 = 11
11+3 = 14
14+3 = 17
17+3 = 20
23+3 = 26
and so on
This recursive step of adding on 3 to the prior term is written as this: 
which says "to get the nth term, add 3 to the term just before the nth term"
Based on what you posted for your answer choices, the final answer is likely choice C. However it seems some weird typo happened.
