Answer:
About 9inches long
Step-by-step explanation:
Area of a hexagon = 3√3/2 a²
a is the length of each side
Given
Area of the hexagon = 200in²
Substitute
200 = 3√3/2 a²
200×2 = 3√3 a²
400 = 3√3a²
a² = 400/3√3
a² = 400/5.196
a² = 76.982
a = √76.982
a = 8.774
Hence the length of each side is about 9inches long (to nearest inches)
19/25=.76 or 76%
17/20=.85 or 85%, so, Keiko get a better grade on the second test
Formulas for a rectangular prism:
Volume of Rectangular Prism : V = lwh.
Surface Area of Rectangular Prism: S = 2(lw + lh + wh)
Space Diagonal of Rectangular
Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
45
since x=9 plug in 9 into the equation to get
4(9)+9
multiply 4(9) to get
36
Then add 9
which then equals 45