Let's see where the angle is first:
Angle theta will be in the yellow region. The angle in red is an example. For that angle, it's cosine is the proyection of the line that forms the angle over the x-axis and it's sine is the proyection over the y-axis. I'll add them in blue and green.
So the cosine is positive, and the sine is negative for that angle.
We can find the angle by using the inverse of the cosine:
But we have to be careful with this because the result will not be in the quadrant we want. The results of these operations are always in the first quadrant (between 0 and pi/2)
This one is:
To find the angle that is beween 3pi/2 and 2pi, we have to substract that angle from 2pi:
And with that angle we can calculate the sine:
(I solved it with a calculator so I don't miss decimals and get a more exact answer)
The tangent is the quotient between the sine and the cosine:
Let see how to build up this formula that is going to give that term of rank n
1st term =a₁ & r is the ratio
1st a₁ = a₁ x r°
2nd a₂ = a₁ x r¹
3rd a₃ = a₁ x r²
4th a₄ = a₁ x r³
5th a₅ = a₁ x r⁴
.......................
.......................
nth : a(n) = a₁ x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1
Answer:
3.
The length x width is the area so we have to replace it with the area of the cylinder.
The area of a circle is pi x radius^2
Hope this helps
Step-by-step explanation:
The tools essential in performing geometric constructions is B
Answer:
15 nickels were there with Alexis
Step-by-step explanation:
Let there be x nickels
given that
The number of dimes is 5 less than twice the number of nickels.
no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5
we know that
value of 1 nickel = 5 cents
then
value of x nickel = 5*x cents = 5x cents
we know that
value of 1 dime = 10 cents
then
value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents
Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50
given that
Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25
$1 = 100 cents
$3.25 = 3.25 * 100 cents = 325 cents
Thus,
25x - 50 = 325
25x = 325 + 50 = 375
x = 375/25 = 15
Thus, no of nickels = x = 15 answer
