Answer:

Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:

Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:

We are given: S3=252, a1=192, thus substuting:

Dividing by 12:

Recall that:

Substituting:

Simplifying:

Rearranging:

16r^2+16r-5=0
Rewriting:

Factoring:


Solving:

Both solutions are valid
<u>starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).</u>
Answer: AB = 30cm, BD = 16cm, CD = 30 cm, AC = 16 cm
Diagram should be the same thing, except doubled the size of the original.
Explanation: Just multiply each side by the scale factor.
Volume = (l*h*w)\3
v= (20*15*15)\3
v=4500\3
v=1500
Answer:
21+35
Step-by-step explanation:
use distributive property, multiply 7 by the two numbers in the parenthesis
keep the problem though.