Write an equation for the situation. Do not solve it
2 answers:
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Answer:
D
Step-by-step explanation:
Using the addition formula for sine
sin(a + b) = sinacosb + cosasinb
and the exact values
sin( ) = cos(
) =
, cos(
) =
, sin(
) =
Note that =
+
, thus
sin()
= sin( +
)
= sin()cos(
) + cos(
)sin(
)
= ( ×
) + (
×
)
= +
= → D
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
- 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>
.