Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = 
Horizontal shift = 
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = 
horizontal shift = 
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Answer:
<h2>
m∠a = 67° , m∠b = 42°</h2>
Step-by-step explanation:
∠a is alternate interior angle to ∠ECD
∠b is alternate interior angle to ∠BCD
so:
If AB || CD then:
m∠a = m∠ECD = 25° + 42° = 67°
m∠b = 42°
so 5 people work each one for 21 minutes, that means 21+21+21+21+21 minutes altogether, namely 105 minutes, it took that long for 7 walls, hmmmm how long for just one wall then? well, 105 ÷ 7, namely 15 minutes then, for just 1 wall.
now, if it takes 15 minutes of work to do one wall, what about 5 walls? well, that'd be 15*5 or 75 minutes.
so if we have 3 folks working, how much would each one work? well, 75 ÷ 3, namely 25 minutes, so each of them will work 25 minutes, namely 25+25+25 minutes, so in 25 minutes, they'll be done with 5 walls.
Answer:
12.5π or ≈39.27
Step-by-step explanation:
The formula for finding the volume is V=πr^2*d (where h is the height and r is the radius).
Plug in the values: V=π(2.5)^2*2 (Diameter=2*Radius)
Solve: V=6.25π*2
V=12.5π
V≈39.27
