Find the solution of the system of equations shown on the graph. Please and thank you :)
1 answer:
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Given:
Net of a triangular prism
To find:
Which equation can be used to calculate the surface area of the triangular prism.
Solution:
Using formulas:
Area of rectangle = length × width
Area of triangle =
Area of left triangle =
Area of right triangle =
Area of bottom = 5 × 10
Area of Middle = 12 × 10
Area of top = 13 × 10
Surface area of triangular prism:
Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top
Replace multiplication by brackets.
The equation can be used to calculate surface area of triangular prism is
.
Answer:
x: C
y: A
z:
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is larger than either of the legs by a factor of . The length of x is therefore:
In a 30-60-90 triangle, the longer leg is larger than the shorter leg by a factor of . Therefore:
The hypotenuse of the 30-60-90 triangle is twice larger than the smallest leg, so it has a length of .
By the pythagorean theorem, you can find z+y:
Hope this helps!