Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
Answer:
#2 is the closest to the actual roots.
Step-by-step explanation:

is not a root, but 0.68078 is.
The other roots are -0.24572 and 4.9816. The closest option is #2.
The correct answer is x^2-2x+2=0
The explanation is shown below:
1. To solve the problem shown in the figure above, you must apply the following proccedure:
2. You have that the roots of the quadratic equation shown in the figure attached in the problem are:
x=-1±i
3. Then, you know the quadratic formula to solve quadratic equations, which is:
(-b±√(b^2-4ac))/2a
4. You can see in the figure that a=1 and c=2; then, by analizing this, you can conclude that the coefficient b is:
b=-2
5. Therefore, you can conclude tha the quadratic equation is:
x^2-2x+2=0
6. If you want to verify it, apply the quadratic formula to the quadratic equation shown above and you will obtain the roots shown in the figure.
The baker can decorate
42/30,
which would mean 42 cupcakes in 30 minutes,
and then you would get
1.4 cupcakes per minute.
Hope this helps and have a nice day:)
Answer:
4
Step-by-step explanation:
If f(x)= 108-kx, then all you have to do is plug in the given value of x which is -4, then equal it to the given value of 124.
