Answer:
![\sf x=\boxed{18.21}](https://tex.z-dn.net/?f=%5Csf%20x%3D%5Cboxed%7B18.21%7D)
Step-by-step explanation:
Assuming this is a right triangle.
<u>Trigonometric ratios</u>
![\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}](https://tex.z-dn.net/?f=%5Csf%20%5Csin%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BH%7D%5Cquad%5Ccos%28%5Ctheta%29%3D%5Cdfrac%7BA%7D%7BH%7D%5Cquad%5Ctan%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BA%7D)
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse
Given:
= 35°- O = x
- A = 26
![\implies \sf \tan(35^{\circ})=\dfrac{x}{26}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Ctan%2835%5E%7B%5Ccirc%7D%29%3D%5Cdfrac%7Bx%7D%7B26%7D)
![\implies \sf x=26\tan(35^{\circ})](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20x%3D26%5Ctan%2835%5E%7B%5Ccirc%7D%29)
![\implies \sf x=18.20539599...](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20x%3D18.20539599...)
Therefore, x = 18.21 (nearest hundredth)
Answer:
Option B) 19.1 years
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 9
Sample mean,
= 19.1 years
Alpha, α = 0.05
Population standard deviation, σ = 1.5 years
We have to approximate best point estimate for population mean.
The best point estimate for population mean is the sample mean.
Thus, we can write
![\mu = \bar{x} = 19.1](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cbar%7Bx%7D%20%3D%2019.1)
Thus, the correct answer is
Option B) 19.1 years
Answer:
1. Profit on stock transaction = 1400
2. percentage return on investment = 11.57
Step-by-step explanation:
stock's purchase price = 12,100
stock's selling price = 13,500
profit = stock's selling price - stock's purchase price
= 13,500 - 12,100
= 1,400
For, percentage return on investment;
⇒ percentage return = ![(\frac{profit}{purchase price })100](https://tex.z-dn.net/?f=%28%5Cfrac%7Bprofit%7D%7Bpurchase%20price%20%7D%29100)
= ![(\frac{1400}{12100})100](https://tex.z-dn.net/?f=%28%5Cfrac%7B1400%7D%7B12100%7D%29100)
= ![11.57](https://tex.z-dn.net/?f=11.57)
X= 0.5012531y
solve for X by simplifying both sides of the equation, than isolating the variables
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice