The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
Answer: Plan A is less expensive for 50 minutes. About $6 less than Plan B
At 200 minutes, both plans cost $24
Step-by-step explanation:
1.) Look at the numbers for minutes going across the bottom from left to right. Find 50. Follow the grid line up to where the blue line crosses it. (The blue line is lower than the red line so the cost is less.) Look at the numbers on the cost scale to verify the difference if someone asked. Plan A costs $6. Plab B costs $12 for 50 minutes.
2.) Look at where the Red and Blue lines intersect. That is where the plans cost the same amount of money for the same amount of minutes. Follow the grid line down from that point to find the number of minutes.
Answer:
x = 2.4
Step-by-step explanation:
Simplify.
24 - 4x + 4 = 6x + 2 - 6
Combine like terms (24 + 4 = 28, sorry for the confusion!)
28 - 4x = 6x - 4
Add x and add 4 to both sides.
10x = 32
x = 3.2
The ordered pairs that satisfy this function are (-3,-1) and (3,3)
Answer:
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.
