Answer:
Step-by-step explanation:
im pretty sure its this smack me if im wrong
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Answer:
See explanation
Step-by-step explanation:
Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let
- statement p be "A figure is cube.";
- statement q be "A figure has 8 vertices."
Then the statement "If a figure is a cube, then it has eight vertices" can be written as
Converse (): If a figure has eight vertices, then it is a cube.
Inverse (): If a figure is not a cube, then it has not eight vertices.
Contrapositive (): If a figure has not eight vertices, then it is not a cube.
Answer:
The surface of the prism is 84m²
Step-by-step explanation:
You have 4 figures here (two the same triangles)
you need to determine the surface of each and then sum it to one. This will be your final surface.
rectangles:
3*6= 18m²
5*6 = 30m²
4*6 = 24m²
triangles:
You need to determine the square of the triangles from the Heron's formula.
Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is
,
where s is the semi-perimeter of the triangle; that is,
.
So the permimeter of the triangle is
2p=4+5+3 = 12m
p = 6m
So the surface of the prism is a total sum of all surfaces:
P = 18m²+30m²+ 24m²+2*6m² = 84m²
ANSWER
EXPLANATION
The given quadratic trinomial is
Comparing to the general quadratic trinomial:
We have a=1, b=10 and c=-8
The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;
Factor;
Factor further;
The last option is correct.