A) To find the surface area of a cube, you have to use the formula 6•a^2
meaning you just have to calculate one side and multiply it by six.
541.5 is the surface area of the cube.
B) To find the surface area for just five sides, you'll be doing the same, except instead of 6 it'll be five.
so multiply 9.5 by itself
you get 90.25
Then you multiply 90.5 by 5
You get 451.25
Unfortunately I'm not sure how to do C. good luck
Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
Answer: c. 8!
Step-by-step explanation:
We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-
( in words :- n factorial)
Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .
Hence, the correct answer is c. 8! .
Alternatively , we also use multiplicative principle,
If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..
So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!
Hence, the correct answer is c. 8! .
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function
This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so
Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to
substitute the given values
see the attached figure
I believe your answer is B, though I am not positive. I am doing the same question right now, so if it is correct I will let you know!
Hope this helps!