Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
To find the slant height we must take apart the pyramid first. Let us cut it in half. There we can easily see that the slant height is really just the hypotenuse of the triangle formed by half the base and the altitude.
Half the base length would be 6 cm.
Using the Pythagorean therom:
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
c = 10
The slant height should be 10 cm. Hope this helps!
<u>Answer:</u>
The correct answer option is quadratic, because the height increases and then decreases.
<u>Step-by-step explanation:</u>
We are given the following data in the table which represents the height of an object over time:
Time (s) Height (ft)
0 5
1 50
2 70
3 48
We know that in situation where the values increase and then decreases, a quadratic model is used.
From the values given in the table, we can see that the values of height first increased and then decreased with the increase in time.
Therefore, the model used is quadratic, because the height increases and then decreases.
In a trapezoid, with bases 
and 
and height 
, the area is given by
In your case:
so, the formula becomes
Since the area is 
, we have
