Answer:
∠ XAZ = 50°
Step-by-step explanation:
The measure of the circle = 360°
Given arc XYZ = 230°, then
arc XZ = 360° - 230° = 130°
The tangent- tangent angle XAZ is one half the difference of the intercepted arcs, that is
∠ XAZ =
(230 - 130)° = 0.5 × 100° = 50°
Answer:
Step-by-step explani belive you add it if it is improper then simplify hope it helps
Divide 2/3 by 3/64 and you will get the number of cups of punch. It doesn't come out evenly, but that's the way to do this.there is a total of 2/3 gallon of punch. Each guests has a cup of 3/64 gallon of punch. Now many 3/64 gallon of punch can you fit in 2/3 gallon of punch, that will tell you how many guests there are. so naturally we want to divide<span> ( 2/3 ) / ( 3/64).</span>
Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)