Answer:
∅ ≈ 48.2º
Step-by-step explanation:
cos∅ = adj/hyp = 10/15 = 2/3
Therefor
∅ = arccos 2/3
use calculator
∅ = 48.189685104221402
∅ ≈ 48.2º
Answer:
![\sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Step-by-step explanation:
At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:
![\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%5Csqrt%20%5B4%5D%20%7Bx%5E2%7D%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20%5Csqrt%5B4%5D%7Bx%5E2%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Alternatively, if you're allowed to use rational exponents, we can convert everything:
![\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20x%5E%7B%5Cfrac12%7D%20%5Ccdot%20x%5E%5Cfrac14%20%3D%20x%5E%7B%5Cfrac12%20%2B%5Cfrac14%7D%3D%20x%5E%7B%5Cfrac24%20%2B%5Cfrac14%7D%3D%20x%5E%5Cfrac34%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Answer:
Step-by-step explanation:
the formula for an arithmetic sequence is
a, a+d,a+3d,a+3d etc, where d is the common difference
we have the terms -6, 13,23
first term is -6
-6+19=13
however, 13+10=23
this is not an arithmetic sequence
Answer:
$14000
Step-by-step explanation:
Given parameters:
Amount earned by employee x = $5250
Time duration = 3weeks
Unknown:
Amount earned in 8 weeks = ?
Solution:
Let us first find the rate of employee x earning;
Rate =
Insert parameters;
Rate =
= $1750/week
So,
In 8 weeks;
Amount earned = rate x time duration
Amount earned = $1750/week x 8weeks
Amount earned = $14000
I think the most appropriate answer would be "-6.58".
I hope it helped you!