Answer:
The volume of the triangular prism in the diagram is:
- <em>105.5</em>
The surface area of the triangular prism in the diagram is:
- <em>10.75</em>
Step-by-step explanation:
First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:
- Area of a triangle = (base * height) / 2
We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:
- Area of a triangle = ( 5 in * 4.3 in) / 2
- Area of a triangle = ( 21.5 ) / 2
- Area of a triangle = <em>10.75</em>
Now, we can calculate the volume of the triangular prism with the next formula:
- Volume of a triangular prism = surface area * depth
In the diagram, we can see the depth is 14 inches, then:
- Volume of a triangular prism = 10.75 * 14 in
- Volume of a triangular prism = <em>105.5</em>
How you can see with the calculations perfomed, <em>the surface area is 10.75 </em><em> and the volume of that triangular prism is 105.5 </em>.
Answer:
No solutions
Step-by-step explanation:
So putting that into an equation it equals
2k+8=(4k+14)÷2
Move the 2 to the other side.
2∙2k+8=4k+14
Simplify.
4k+8=4k+14
It doesn't make sense so No Solutions
Answer:
5/12
Step-by-step explanation:
This is because there are 12 cards and 5 of the twelve are triangles. So 5/12 is your answer! Hopefully I helped, enjoy your day :)
56 because that’s what I torn
So based on the information here, it costs $3,000 up front but an additional $1,000 for each play and each sold out performance brings in $2,500
For the sake of simplicity, when solving it, I won't be putting the dollar sign
So the equation is the following:
3,000+1,000x=2,500x
So you need to get "x" by itself
First, minus 1,000x from each side
So it is now 3,000=1,500x
Now you divide 3,000 by 1,500 which is 2
x=2
So that means two performances need to sell out in order to break even with the cost
-------------------
To check:
$3,000+$1,000(2)=$2,500(2)
$1,000×2=$2,000 and $3,000+$2,000=$5,000
$5,000=$2,5000(2)
$2,500×2=$5,000
$5,000=$5,000
So it it correct
