Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
The value of x is 5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up;
- Factors
- variables
- terms
- constants
They also consist of mathematical operations such as addition, multiplication, division, subtraction, parenthesis, brackets, etc
We have the expression as;
7.5x = 5.5x + 10
collect like terms
7.5x - 5.5x = 10
subtract the like terms
2.0x = 10
Make 'x' the subject
x = 10/2. 0
x = 5
Thus, the value of x is 5
Learn more about algebraic expressions here:
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Answer:
2) 
3) 5√2
Step-by-step explanation:
Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).
2. Here the given expressions,

For rationalising the denominator multiply both numerator and denominator by √11,

3. given expression,




Answer:
651.
Step-by-step explanation:
Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.
Consider the given series is
It is the sum of an AP. Here,
First term = 91
Common difference = 85 - 91 = -6
Last term = -29
nth term of an AP is
where, a is first term and d is common difference.
Sum of AP is
Therefore, the sum of given series is 651.