Answer:

Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is 
Recall that term of a geometric sequence are generally in the form:

This implies that:
a=32 and 
Substitute a=32 and solve for r.


Take the fourth root to get:
![r=\sqrt[4]{\frac{81}{256} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B81%7D%7B256%7D%20%7D)

Therefore 


Answer:
Using trigonometric ratio:


From the given statement:
and sin < 0
⇒
lies in the 3rd quadrant.
then;

Using trigonometry identities:
Substitute the given values we have;

Since, sin < 0
⇒
now, find
:

Substitute the given values we have;

Therefore, the exact value of:
(a)

(b)

Answer:
6(x+4)=30
6x+24=30
6x+24-24=30-24
x=6/6
x=1
Step-by-step explanation:
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Answer:
m = 13
Step-by-step explanation:
To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.
1. 7m = 91
2. (7m)/7 = 91/7
3. m = 13
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