Answer:
Step-by-step explanation:
Given
Two integers a and b
The first statement in the question says, their sum is at least 30
The keyword "at least" means their sum can not fall below 30 and this is represented mathematically as
The next statement says their difference is at least 10 and b is greater;
The keyword "at least" means the same as used above (i.e. can not exceed); The second statement is represented as:
Hence, the system of inequality that represents the statements are:
Answer:
45.54m
Step-by-step explanation:
Refer the attached figure
Scarlett's height = AB = 1.65 meters
She stands 90 meters away from the dam i.e. BE = AC = 90 m
She records the angle of elevation to the top of the dam to be 26º i.e. ∠DBE = 26°
Height of the Dam = DC = EC+DE
AB = EC = 1.65
In ΔBDE
Height of the Dam = DC =1.65+43.89=45.54 m
Hence the height of the dam is 45.54 m.
Given:
The given expression is
To find:
The value of given expression.
Solution:
We have,
Applying the negative exponents rule, we get
Expanding the exponent, we get
The value of given expression is .
Therefore, the correct option is A.