Answer:
A. 3.6×10^5 grams
Step-by-step explanation:
Multiply the number of people by the amount per person:
(1.8×10^3)(2×10^2 g) = 3.6×10^5 g
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The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b).
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
The reference angle is the angle that always uses the x-axis as a frame of reference. The reference angle is the smallest angle between the terminal side and the x-axis.
In the 1 st Quadrant: reference angle is the same ( x ).
In the 2nd Quadrant: 180° - x.
In the 3rd Quadrant: x - 180°.
In the 4th Quadrant: 360° + x.
An angle that measures 305° is in the 4th Quadrant:
360° - 305° = 55°
Answer: the reference angle is 55°.
Answer:
226.19
Step-by-step explanation:
Vol. of cone = Bh/3 where B is the area of the base(circle) and h is the height of the cone.
r = 3 h = 3
V = = 9π
Vol. of the cylinder = Bh where B is the base(circle) and h is the height of the cylinder.
r = 3 h = 10 - 3 = 7
V = = 63π
Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19
2b -1 = 11
⇔ 2b = 12
⇔ b = 6