Simplify each exponential expression using the properties of exponents and match it to the correct answer.
1 answer:
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Answer:
-5
Step-by-step explanation:
Geometric sequences have common ratios.
You can see if a sequence is geometric by computing:
.
If you get the same result per consecutive pair, then there is a common ratio and the sequence is geometric.
Let's see:
So if this equations holds (if all 3 fractions equal the same thing), then is geometric and we have also have computed the common ratio.
The first fraction results in -250/50=-5.
The second fraction results in 50/-10=-5.
The third fraction results in -10/2=-5.
All three fractions are equal and so the equation holds so it is geometric and the common ratio is -5.
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is .
Then area of parallelogram =
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.