Answer:

Step-by-step explanation:
We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:




Since the area of a square is the side length square then...

The square root and the squared cancel out giving us...

Answer:
<h2>
-29.61m/s</h2>
Step-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
<em>Hence the average speed of the fall is -29.61m/s</em>
Answer:
x= 1 :))
Step-by-step explanation:
Angle bisector theorem:
CD/DB=AC/AB
REeplacing the known values:
CD/4=5.6/5.1
Solving for CD. Multiplying both sides of the equation by 4:
4(CD/4)=4(5.6/5.1)
CD=22.4/5.1
CD=4.392156863
Rounded to one decimal place:
CD=4.4
Answer: The length of CD is 4.4
-3(5/6)v - 1 = -6(3/4)
To start off, we can simplify by multiplying the fractions with their whole numbers.
-15/6x - 1 = -18/4
Further simplify
-5/2x - 1 = -9/2
Now we can multiply everything times 2 to get rid of the fractions
-5x - 2 = -9
Now we will isolate the x value. Add 2 to both sides.
-5x = -7
Finally, divide all by -5 to get the final answer.
x = 7/5
Hope I helped you out!