the length of the line is 2 1/16
Multiply 9 and 5 then multiply by .5 giving you 22.5 so I’d say that’s your best option
Answer: Sequence B is more probable than A.
Step-by-step explanation:
This two sequences are not equally probable. Sequence B is more probable than A due to the equal chances of getting head (H) and a tail (T). The probability of getting a head is equal to the probability of getting a tail which is 4/8 i.e 0.5
The sequence A is less probable because the head(H) occur more than tail (T). The probability of head occurring is almost a sure event i.e 1 which is not feasible.
Answer:
Step-by-step explanation:
Given the dimension of a square pyramid
Length of pyramid
L = 75 ft
Height of pyramid
H = 28ft
The pyramid is a square base
Then,
Volume of a pyramid is calculated using
Volume = base area × height
Since base is a square, then the area of a square is
Area = L² = 75² = 5625 ft²
Then,
Volume = base Area × height
Volume = 5625 × 28
Volume = 157,500 ft³
Then, given the rate of volume to be
dV / dt = 26,250 ft³ / hr
So, we want to find the time the system will filled the air
dV / dt = 26,250
dV = 26,250 dt
Integrate both sides
∫ dV = ∫ 26,250 dt
V = 26,250t + C
When t = 0, V = 0, initially, there is not volume of system air.
Therefore C = 0
V = 26,250t
When V = 157,500 ft³
Then,
t = V / 26,250
t = 157,500 / 26,250
t = 6 hours
So, it will take 6 hours for the system to circulate the room
Answer:
Step-by-step explanation:
<u><em>The complete question is:</em></u>
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?
The picture of the question in the attached figure
step 1
Find the measure of angle XWV
we know that
The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)
we have
so
Remember that an isosceles triangle has two equal interior angles
so
step 2
Find the measure of angle WVX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
step 3
Find the measure of arc WUX
we know that
----> by central angle
we have
therefore
