Given:
<span>tan(B/2) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Apply the half angle formula to convert tan(B/2) to terms of B: </span>
<span>sin(B) / (1+cos(B)) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Convert everything else to be in terms of sin and cos: </span>
<span>sin(B) / (1+cos(B) = (1/cos(B)) / ((1/cos(B)) * (1/sin(B)) + (1/sin(B))) </span>
<span>Multiply right side by "sin(B)/sin(B)" to simplify the fractions: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + 1) </span>
<span>Change "1" to cos(B)/cos(B) and then combine over </span>
<span>common denominator: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + cos(B)/cos(B)) </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1+cos(B))/cos(B)) </span>
<span>Dividing by a fraction equals multiplying by its reciprocal: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) * (cos(B) / (1+cos(B))) </span>
<span>Multiply terms on the right side (canceling cos(B) terms): </span>
<span>sin(B) / (1+cos(B) = sin(B) / (1+cos(B)) </span>
{X| -4 < x < 2, X € R}
Both < signs should be greater than OR EQUAL signs, I just couldn’t find that symbol, sorry.
Answer:
A = $996.00
Step-by-step explanation:
(I = A - P = $196.00)
Equation:
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 800(1 + (0.07 × 3.5)) = 996
A = $996.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.
AC # A'B'
Step-by-step explanation:
While solving the above problem one must keep in mind that
- Reflection along Y-axis would just make the rectangle upside down at the same distance from X-axis in the down direction.
Thus, from the figure it becomes clear that
- AB ∦ B’D’
- CD║A’B’
- BD ∦ C’D’
Only statement that comes out true is the third statement which states that AC is not parallel to A’B’
Since the diagonal of a rectangle can not be parallel to one of its side (though the side in question is side of the same rectangle reflected in y axis)
A)5:9
b)14:5
the are the answers
