Answer: 75% Of the original price
Step-by-step explanation:
Given:
The scale factor is 1:12.
Dimension of model = 32 cm
To find:
The actual dimension in m.
Solution:
Let x be the actual dimension.
The scale factor is 1:12 and the dimension of model is 32 cm.
On cross multiplication, we get
![[\because 1\ m=100\ cm]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%5C%20m%3D100%5C%20cm%5D)
Therefore, the actual dimension is 3.84 m.
Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = <u>2*2*2 </u><u>*2</u><u> </u>* 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - <u>3 * 3 * </u><u>3</u> * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Answer:
volume = (1/3)(area of base)(height)
area of base = pi * radius2 = pi * (10/2)2 = pi * 52 = 25pi cm2
volume = (1/3)( 25pi )( 9 ) cm3
volume = 75pi cm3
volume ≈ 236 cm3
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