Answer:
6 items are being purchased
Step-by-step explanation:
Given that variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation
t = 4p + 20.
Using t = 44
44 = 4p + 20
collect like terms or subtract 20 from both sides
44 - 20 = 4p
24 = 4p
Divide both sides by 4
24/4 = p
p = 6
Answer:
4th option
Step-by-step explanation:
open circle means more than or less than
n is more than -3 but less than 1
Answer:
408.46cm^2
Step-by-step explanation:
Given data
Height= 13cm
Diameter= 10cm
Radius= D/2= 10/2= 5cm
The area of the curved surface will be = 2πr × h = 2πrh
substitute
Area of the curved surface = 2πrh= 2*3.142*5*13
Area of the curved surface = 2πrh= 408.46cm^2
Hence the area of the curve surface is 408.46cm^2
Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
