3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
If x=2
Before :
-8(2)+5-2(2)-4+5
-16+5-4-4+5
-11-4+5
-14
After :
-10(2)+6
-20+6
-14
Simplify :
-8x+5-2x-4+5
-8x-2x+5-4+5
-10x+6
Answer:
8 mph
Step-by-step explanation:
The equation for average speed is:

Let's start by finding the distance for each animal:


Now, we can find the average speed:

8 mph
Answer:
The length of a side of the cube-shaped container is 2,016 units
Step-by-step explanation:
step 1
Find the volume of a cube with a side length of 1008 units
The volume of a cube is equal to

where
b is the length side of the cube
we have

substitute

step 2
Find the length side of the cube-shaped container
Let
x-----> the length side of the cube-shaped container in units
we know that
The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units
so

solve for x




therefore
The length of a side of the cube-shaped container is 2,016 units
Answer:
+.5
Step-by-step explanation: