For this case what you can do is an average to calculate the number of hours it will take them to work together:
Let
t: average time.
hi: hours worked for each one.
n: number of teams.
The average will be given by:
t = (h1 + h2) / (n)
Substituting both values:
t = ((15) + (10)) / (2) = 12.5
answer
it would take 12.5 h to pave that same section of highway if both crews worked together
Angles b and the angle that measures 68° are complimentary angles so they add up to 180°. angle b would be 112°.
Exactly 15 articles contained false information.
In order to find this, you simply have to multiply the number of total articles by the rate of fake articles.
60*.25 = 15 articles
Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions
Answer:
80π
Step-by-step explanation:
Circle O with radius IO:
large radius = IO = 12 = R
Circle O with diameter JK
IJ = JK = KL = 2 × IO = 24
IJ = JK = KL = 24/3 = 8
small radius = 8/2 = 4 = r
The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.
That is the same as
1 semicircle of radius 12 plus 1 semicircle of radius 4
A = πR²/2 + πr²/2
A = π(12² + 4²)/2
A = 160π/2
A = 80π