Answer:
x = 20 degrees.
Step-by-step explanation:
cos40∘=sin(x+30∘)
sin (x + 30) = 0.766
x + 30 = arcsin 0.766 = 50
x = 50 - 30 = 20.
Given the information from the study, the average soil saturation for the county last year is 1.2 times the saturation reported for the Northwest part of the county this year.
<span>Also, the average soil saturation for the county last year is 0.25 of the saturation reported for the Southeast part of the county this year.</span>
Answer:
Kate.
Step-by-step explanation:
Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
Answer: I hope this helps :)
Step-by-step explanation:
All in all, this leaves us with #(Heart or Face card) = 13+12–3=22 cards.
So your probability would be p(Heart or Face card)= 22/52 or 11/26 or 42,3%
(but they are all the same)