Answer: 58.666666666667
Step-by-step explanation:
my brain
Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
Answer:
1 3/4
Step-by-step explanation:
I used decimals to answer the question. 0.25*7
Answer: the diameter of the can is 2.8 inches
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
height = 4.5 inches
Volume of can = 454 millilitres
1 cubic inch = 16.387 millilitres
Converting 454 millilitres to cubic inches, it becomes
454/16.387 = 27.7 cubic inches
Therefore
27.7 = 3.14 × r² × 4.5
27.7 = 14.13r²
r² = 27.7/14.13
r² = 1.96
r = √1.96
r = 1.4
Diameter = 2 × radius
Diameter = 2 × 1.4 = 2.8 inches
Given:
Original cost of car = $21000
Rate of depreciation = 15% = 0.15
Time = 5 years
To find:
The value of car after 5 years.
Solution:
Consider the model for car depreciation is
where, C is the original cost, V is the value of the car after t years, and r is the rate of depreciation.
Substitute C=21000, r=0.15 and t=5 in the above model.
The value of car after 5 years is $9318. Therefore, the correct option is C.