Maximum: 100°; minimum: −30°; period: 10 hours
sin(πt/5) varies between -1 and 1, so f(t) varies between -30 and 100.
P=2π/π/5=10
Answer:
Step-by-step explanation:
Since the denominators are the same, we can just subtract 4 from 9 to get 5
The denominators should not be subtracted... they will remain the same
Now we take the result from 9-4 which equals 5
And we put that back into the equation so we have
This is not in simplest form. In order to get simplest form. Divide each number by two... so now we have
Which is the answer
Answer: Total Volume = 15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume: C = (1/3)*(πr^2) * h
semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)
r = 3 mm and h = 5mm
so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume = 15π + 18 π= 33π cubic mm
Answer:
i would think C
Step-by-step explanation:
Answer:
4y - 5x + 7 = 0
Step-by-step explanation:
To get to the equation of its perpendicular, firstly we'll need the slope of this line.
(x1, y1) and (x2, y2) are any two points kn the given line.
I caught two points that lie on this graph, and they are :
(two minus make a plus)
<u>slope = -4 /5 </u>
That's the slope of the given line.
Now, the slope of the line perpendicular to this one will be equal to its negative reciprocal.
slope (perpendicular) = 5/ 4
and they've given a point that lies in the perpendicular, it is = (3, 2)
For equation of a line thru a point, we have:
the letters in red are the variables that won't be changed thruout.
and (x¹, y¹) are the points on the line.
- (x¹, y¹) = (3, 2)
- slope = 5/ 4
and thats the required equation of the perpendicular.