Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
Answer:
D = 3 cm
Step-by-step explanation:
Given that,
The circumference of a circle is 9.45cm.
We need to find the length of the diameter.
The formula for the circumference of a circle is given by :
We know that, Diameter = 2r
So,
So, the length of diameter is equal to 3 cm.
Answer:
11. the first one 12. the last one
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
This means that we need:
- An angle of one triangle that is congruent to an angle of the other triangle.
- Another angle of one triangle that is congruent to another angle of the other triangle.
For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.
Answer:
2 batches
Step-by-step explanation:
2/5 divide by 1/5
=2/5 * 5/1
=2 batches
