Answer:
![Q = 4859.152\,J](https://tex.z-dn.net/?f=Q%20%3D%204859.152%5C%2CJ)
Step-by-step explanation:
The heat absorbed by the ice cube is calculated by the following formula:
![Q = (10\,g)\cdot[(2.090\,\frac{J}{kg\cdot ^{\textdegree}C} )\cdot (0^{\textdegree}C +12.2^{\textdegree}C)+334\,\frac{J}{g} + (4.186\,\frac{J}{kg\cdot ^{\textdegree}C})\cdot (30.2^{\textdegree}C-0^{\textdegree}C)]](https://tex.z-dn.net/?f=Q%20%3D%20%2810%5C%2Cg%29%5Ccdot%5B%282.090%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%20%29%5Ccdot%20%280%5E%7B%5Ctextdegree%7DC%20%2B12.2%5E%7B%5Ctextdegree%7DC%29%2B334%5C%2C%5Cfrac%7BJ%7D%7Bg%7D%20%2B%20%284.186%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%29%5Ccdot%20%2830.2%5E%7B%5Ctextdegree%7DC-0%5E%7B%5Ctextdegree%7DC%29%5D)
![Q = 4859.152\,J](https://tex.z-dn.net/?f=Q%20%3D%204859.152%5C%2CJ)
Another expression that can represent the new price is, n + 3/20n
Answer:
The coordinates would be (3,4)
Step-by-step explanation:
Answer:
45.54m
Step-by-step explanation:
Refer the attached figure
Scarlett's height = AB = 1.65 meters
She stands 90 meters away from the dam i.e. BE = AC = 90 m
She records the angle of elevation to the top of the dam to be 26º i.e. ∠DBE = 26°
Height of the Dam = DC = EC+DE
AB = EC = 1.65
In ΔBDE
![Tan \theta = \frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=Tan%20%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BBase%7D)
![Tan 26^{\circ} = \frac{DE}{BE}](https://tex.z-dn.net/?f=Tan%2026%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BDE%7D%7BBE%7D)
![Tan 26^{\circ} = \frac{DE}{90}](https://tex.z-dn.net/?f=Tan%2026%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BDE%7D%7B90%7D)
![0.48773 \times 90=DE](https://tex.z-dn.net/?f=0.48773%20%5Ctimes%2090%3DDE)
![43.89=DE](https://tex.z-dn.net/?f=43.89%3DDE)
Height of the Dam = DC =1.65+43.89=45.54 m
Hence the height of the dam is 45.54 m.
Answer:
a. 9m
Step-by-step explanation:
Pi = 3.14 = 22/7
formula :
Area of a Sector of a Circle = (central angle)/360 * πr² =
(central angle)/360 * πr² = Area of a Sector of a Circle
43/360 * Pi * r^2 = 30.39
r^2 = (30.39 * 360) / (Pi * 43)
r^2 = (30.39 * 360) / (22/7 * 43)
r = √ (30.39 * 360 * 7) / (22 * 43)
r = √76582.8/946
r = √80.9543340381
8.99746264444 which is roughly
9