Answer:
sin A = 12/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = 12/13
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.
The area of the region that is not shaded in the diagram is determined through the following solution:
<span>A = <span>(1 − (<span><span>60°/</span><span>360°</span></span>)*</span>π) * (10 ft ) ^<span>2</span></span>
<span>A = <span>56*</span>π*100 [<span>ft2</span>]</span>
<span><span>A = <span>250/3 </span>π [<span>ft2</span>]
A = 262 [ft2]</span></span>
Answer
P = 147 million
Step by step explanation
P = Po r^t -------------(1)
Po initial population, r = rate, t = number of years
Here P = 139, Po = 134, t = 10.
Now plug in these values into the formula and find the rate r.
139 = 134r^10
r^10 = 139/134
r = (139/134)^1/10
Now we got r, now plug in the equation (1)
Let's find the population in the year 2014, here t = 24
P = 134 (139/134)^(24/10)
P = 134(139/134)^(2.4)
P = 134*1.1
P = 147.4
P = 147 million
The country's population in 2014 is 147 million (estimation).
Thank you.