Answer:
1) 678.24
2)366.333.... repeating
3) 254.34
Step-by-step explanation:
1) 3.14 x 6² = 113.04 ---> 113.04 x 6 = 678.24
2) 3.14 x 5² = 78.5 ---> 78.5 x 14 = 1099 ---> 1099/3 = 366.333.... repeating
3) 3.14 x 9² = 254.34
Answer:
![x(\sqrt[12]{x^5} )](https://tex.z-dn.net/?f=x%28%5Csqrt%5B12%5D%7Bx%5E5%7D%20%29)
Step-by-step explanation:
We need to remember 2 rules when doing these:
1. ![\sqrt[n]{x^a} =x^{\frac{a}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ea%7D%20%3Dx%5E%7B%5Cfrac%7Ba%7D%7Bn%7D%7D)
2. 
Using these 2 rules, we can simplify the product (steps shown below):
![\sqrt[3]{x^2} *\sqrt[4]{x^3} \\=x^{\frac{2}{3}}*x^{\frac{3}{4}}\\=x^{\frac{2}{3}+\frac{3}{4}}\\=x^{\frac{17}{12}}\\=x^{\frac{12}{12}+\frac{5}{12}}\\=x(x^{\frac{5}{12}})\\=x(\sqrt[12]{x^5} )](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%20%2A%5Csqrt%5B4%5D%7Bx%5E3%7D%20%5C%5C%3Dx%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%2Ax%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B17%7D%7B12%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B12%7D%7B12%7D%2B%5Cfrac%7B5%7D%7B12%7D%7D%5C%5C%3Dx%28x%5E%7B%5Cfrac%7B5%7D%7B12%7D%7D%29%5C%5C%3Dx%28%5Csqrt%5B12%5D%7Bx%5E5%7D%20%29)
Rearranging, we see that it is the third choice.
Answer: See explanation
Step-by-step explanation:
The difference in the length of the polar bear will be:
= 2 7/9 - 1 5/6
The lowest common multiple of 9 and 6 is 18.
= 2 7/9 - 1 5/6
= 2 14/18 - 1 15/18
= 17/18
She is incorrect as she subtracted the denominator from the numerators and didn't find their lowest common multiple. She got the answer this way:
= 2 7/9 - 1 5/6
= (2 - 1) (7-5)/(9-6)
= 1 2/3
<u>Given</u>:
The measure of angle EFG is 
The measure of arc GE is 
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the inscribed angle theorem.
Thus, we have;

Substituting the values, we have,




Hence, the value of x is 8.
Therefore, Option B is the correct answer.
Density = mass/volume
mass = 200g
volume = 8x5x6 = 240 cm^3
Density = 200g/240cm^3
Density = 0.833 g/cm^3
Hope I helped!!