Answer:
Period=6
Step-by-step explanation:
Given:
t=1cos(1.05h)+37
Using acos(bx-c)+d to find the period of the given function
amplitude= a
period= 2π/Bb
phase shift=c (positive is to the left)
vertical shift=d
comparing with t=1cos(1.05h)+37, we get
a=1
b=1.05
c=0
d=37
period= 2π/b
=2π/1.05
=5.983
=6
Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!
Answer:
x < -7 or x > 13
Step-by-step explanation:
3 - x < -10 or 3 - x > 10
-x < -13 or -x > 7
x > 13 or x < -7
Answer: x < -7 or x > 13
Answer: 32.35 cm^2
Step by step:
Find the area of the rectangle first.
A= L • W
A= 11 • 4.2
A= 46.2 cm^2
Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.
Half of the diameter is 2.1 cm which is the radius.
A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2
Then you would subtract 13.85 from 46.2 to find the shaded portion.
Hope this helps :))
Answer:
x = 30
Step-by-step explanation:
by solving ;
- 18 / x = 6 / 10
- 1 / x = 6 / ( 18 × 10 )
- 1 / x = 6 / 180
- 1 / x = 1 / 30
- x = 30
5:15
Divide both sides by 5 to get it down to the lowest bases.
1:3