Answer:
91.3 in³
Step-by-step explanation:
The formula for the volume of a pyramid is:
V =
where B=area of the base and h=height of the pyramid
Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:
A = 7.4 x 7.4 = 54.76 in²
Multiply the area of the base x height of the pyramid: (54.76 x 5) = 273.8
Divide by 3 (multiply by
): 273.8/3 ≈ 91.3 in³
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:
The x-value is -2
Step-by-step explanation:
U can substitute any of the equations for y
-5x + (-9) = 2x + 5
-9 = 7x + 5
-14 = 7x
-2 = x
x = 2
Answer:
Step-by-step explanation:
The $2,000 upfront payment by Hank means that the relationship between the total amount paid and the number of months elapsed is NOT linear. On the other hand, the girl's zero down payment indicates a linear, proportional relationship.