<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>

Answer:
1. x = 4
2. x = 2
3. x = -1
4. x = -3
Step-by-step explanation:
1. (x4)-(2•(x3)))-13x2)+14x)+24 = 0
2. ((x4) - 2x3) - 13x2) + 14x) + 24 = 0
3. Find roots (zeroes) of : F(x) = x4-2x3-13x2+14x+24
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 24.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,8 ,12 ,24
Answer:
I'm pretty sure A but let me know if I'm wrong
Answer:
The given Expression is sometimes true.
Step-by-step explanation:
from the question,
The given expression by Cary is
.
So, solving the expression we get
⇒ 
Let
is an integer.
Whenever,
(a)
{
}
The given Expression always gives negative value.
(b)
{
}
The given Expression always gives positive value.
Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.
Hence,
According to Cary's claimantion the given Expression is sometimes true.