The base would represent the side adjacent to the angle and the height up the wall would be the opposite side. Using the tangent^-1 (opposite over adjacent) function we are looking for the tan^-1 of 6/24 or 14.04°
The sum of half of a number and three-fourths is at least five and one quarter.
It's all about making sense of an English statement. "half the sum" and "the sum of half" are two distinct expressions.
Additionally, "at least" and "not less than" have equivalent meanings, as do "not more than" and "at most."
It is an issue of matching the thoughts conveyed because all of the expressions are verbally expressed. That is a reading comprehension issue, not a math issue.
"A number is at least five and one quarter when divided by half and three-fourths."
In mathematics, a statement with unequal sides is referred to as an inequality. When a link leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.
In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). There are numerous types of inequalities that can exist in mathematics, including absolute value inequality, rational inequality, and polynomial inequality.
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Answer:
1 i(sqrt5)
2 7i
3 -9i
4 -64i
5 -5i(sqrt2)
6 -4i(sqrt3)
7 10i(sqrt3)
8 2i(sqrt2)
9 3i(sqrt7)
10 -30i(sqrt2)
Step-by-step explanation:
i is the square root of (-1). We can simplify each one as such.
Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)= 
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒ 
= 0.84
or
log(5) = 0.84 × log(b)
or
log(5) = 
(as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 = 
or
b = 6.79
