Answer:
As
so option D is correct.
Step-by-step explanation:
Given the expression
![\sqrt[3]{\left(-0.05\right)^{24}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
![\sqrt[3]{\left(-0.05\right)^{24}}=\left(\left(-0.05\right)^{24}\right)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D%5Cleft%28%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Hence, the simplification will be:
![\sqrt[3]{\left(-0.05\right)^{24}}=0.05^8](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D0.05%5E8)
Therefore, option D is correct.
Answer: The average age is 7.1 years.
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
Answer:
A. △ABC and △JKL are similar.
Step-by-step explanation:
Since three angles of one triangle are congruent to three corresponding angles of the other triangle, the triangles are either congruent or similar. Since the side of one triangle is twice the length of the corresponding side of the other triangle, then the triangles are not congruent, but they are similar.
A. △ABC and △JKL are similar.
Answer:
longer side = √507 cm, shorter side = 13 cm
Step-by-step explanation:
sin60 = opposite side/26cm
opposite side = √507 cm
cos60 = adjacent side/ 26cm
adjacent side = 13 cm
longer side = √507 cm, shorter side = 13 cm
Answer:
Step-by-step explanation:
12x+4=8x-6
Collecting like term
12x - 8x = -6 - 4
4x = -10
x = -10/4
x = -5/2
x = -2 1/2
