Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
7. E
8.C
9. F
10.D
11.B
12.A
13.G
I think this is right
Answer: 2929 π inch
Step-by-step explanation:
Circumference is given by= 2πr
Here r= 1010 inches
So Tip of minute hand moves= 2π (1010inch)
= 2020 π inch for an hour
Now it comes from 12 to 33 o'clock= 1.45 hour so,
Tip of minute hand moves= 2020 π inch x 1.45
Tip of minute hand moves= 2929 π inch
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: ![a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=a%5E%7B%28%5Cfrac%7Bm%7D%7Bn%7D%29%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Hence, ∛27 = 
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
![\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B%283%29%7D%20%7D%20%3D%203%5E%7B%5B%283%29%2A%28%5Cfrac%7B1%7D%7B3%7D%29%5D%7D)
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.
Answer:
Press the kinda paper clip thing it says attach file then press that
Step-by-step explanation: