Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere
Equating both the volumes
⇒ 
= 106.96
⇒ 
= 25.53
⇒ ![r = \sqrt[3]{25.53}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B25.53%7D)
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.
13b.) If you're multiplying and the base is the same, then you add the exponents:
13c.) This is similar to 13b:
1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=
1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==
1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)
Answer:
−8x^2−2x+13
collect the like terms then simplify
