Answer:
A cos C = 12/13
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos C = BC/AC
But we don't know BC, but we can find it using the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +BC^2 = 13^2
25 + BC ^2 =169
Subtract 25 from each side
BC^2 = 169-25
BC ^2 = 144
Taking the square root of each side
BC =12
cos C = 12/13
It would be 58.3%
100% is 14+10=24
14 divided by 24 = 0.583
Move decimal over to the right twice is 58.3%
Angular Speed = (final angle - initial angle)/(time)
Angular Speed = ω = (ΔФ)/Δ.t [ Ф in Radian and t in second]
To ease calculation let's convert 60 mi/h into in/second
a) 1 mi = 63,360 in and 1 hour = 3600 seconds
b) 60 mi/h EQUIVALENT to (60 x 63,360)/3600
c) Speed of the truck in in/s = 1,056 in/s
d) Circumference of wheel = 2π.R = 2π.(16) = 32.π
e) Time need to travel 32.π (=100.53 in) → 100.53/1,056 = 0.095 second
f) Δ.Ф (after one revolution) = 2π - 0 → Ф = 2π
g) Now we can calculate ω, the angular speed:
ω =(ΔΘ)/Δ.t → 2π/0.095 → w = 66.14 Radian/Second
Answer:
<u>Width = 2x² , Length = 7x² + 3</u>
Step-by-step explanation:
The area of the rectangle = 14x⁴ + 6x²
The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²
Factors of 14: 1 * <u>2</u> * 7
Factors of 6: 1 * <u>2</u> * *3
∴ The greatest common monomial factor of 14 and 6 = 2
Factors of x⁴: x , x² , x³ , x⁴
Factors of x²: x , x²
∴ The greatest common factor of x⁴ and x² = x²
∴ Width = 2x²
∵ Area = length times the width
∴ Length = Area/Width
Length =
Y2-Y1 or X2-X1 is the formula
9-4/1-0
It would be undefined