S=d/t
45=29/t
t=45/29
convert to min
t=45/29 *60=38.66min
(12x^2y^−2)^5(4xy^-3)^−7
= (248832x^10y^21)/(16384x^7y^10)
= (248832x^3y^11)/(16384)
= (243x^3y^11)/16
Answer:
cubic units.
Step-by-step explanation:
Let m represent length of the rectangular prism.
We have been given that the width of a rectangular prism is six times its length, so width of the prism would be
.
We are also told that the height is five times its length, so height of the prism would be
.
We know that volume of rectangular prism is height times width times length.



Therefore, the volume of the given rectangular prism would be
cubic units.
Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
Answer:
5/6
Step-by-step explanation:
brainliest please