Answer:
The length of each edge of the base is 7cm.
Step-by-step explanation:
The volume of a prism with square base is given by:

In which l is the length of each edge of the base and h is the height.
A prism with a square base has a height of 15cm and a volume of 735cm3.
This means that 
So





Length is a positive measure. So

Volume in cm³, so the length of each edge is in cm.
The length of each edge of the base is 7cm.
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
We were given the distance, d as a function of time, t.
.
To find
, we put
, in to

This implies that,


This means that in 15 seconds light covers a distance of 4,500,000 kilometers
Answer:
Step-by-step explanation:
1,
-10,20,-40,80,...
common ratio=20/-10=-2
it is a geometric sequence.
2.
15,-5,-25,-45
common difference=-5-15=-20
it is an arithmetic sequence.
Answer:

Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of
and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
