(-4x^2 -6x -1) - (-x^2 -5x +3) = -3x^2 - x - 4
Answer: $78
Step-by-step explanation:
From the question, we are informed that the stock of Company A gained 2% today to $79.56. The opening price of the stock in the beginning of the day will be calculated as:
= [100% / (100% + 2%)] × 79.56
= (100% / 102%) × 79.56
= 1/1.02 × 79.56
= 79.56/1.02
= 78
Therefore, opening price of the stock in the beginning of the day is $78
Answer:
12-111=-99
Step-by-step explanation:
A trampoline park or an arcade
Answer:
12 inches
Step-by-step explanation:
Given
![\theta = 31^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2031%5E%7B%5Ccirc%7D)
![diagonal = 23.3\ in](https://tex.z-dn.net/?f=diagonal%20%3D%2023.3%5C%20in)
Required
Determine the height of the canvas
The question is illustrated using the attached image.
Using the attachment as a point of reference, the height is calculated from
![sin \theta = \frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5Ctheta%20%3D%20%5Cfrac%7Bopp%7D%7Bhyp%7D)
This gives:
![sin 31^{\circ}= \frac{h}{23.3}](https://tex.z-dn.net/?f=sin%2031%5E%7B%5Ccirc%7D%3D%20%5Cfrac%7Bh%7D%7B23.3%7D)
Make h the subject
![h = 23.3 * sin(31^{\circ)](https://tex.z-dn.net/?f=h%20%3D%2023.3%20%2A%20sin%2831%5E%7B%5Ccirc%29)
![h = 23.3 * 0.5150\\](https://tex.z-dn.net/?f=h%20%3D%2023.3%20%2A%200.5150%5C%5C)
![h = 11.9995](https://tex.z-dn.net/?f=h%20%3D%2011.9995)
![h = 12\ inches](https://tex.z-dn.net/?f=h%20%3D%2012%5C%20inches)