Answer:
M = sin ^-1 (5/11)
M = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin M = 5/11
Taking the inverse sin of each side
sin ^-1 sin M = sin ^-1 (5/11)
M = sin ^-1 (5/11)
M=27.03569
To the nearest degree
M = 27
we can use formula
now, we can find a and b
Initially , price is 500
so,
At
now, we can plug back
At
we can use it and find b
now, we can solve for b
and we get
so,
annual depreciation rate is 27.144%.......Answer
Answer:
P = 2(4x - 5)
Step-by-step explanation:
The formula for solving the perimeter of a rectangle is:
P = 2(L + W), or
P = 2L + 2W
Given the length (L) = 3x - 7, and width (W) = x + 2:
Substitute these values into the perimeter formula in order to solve for x and determine the actual dimensions of the given rectangle.
P = 2L + 2W
Use the distributive property of multiplications (over subtraction and addition, respectively), and distribute 2 into each parenthesis:
P = 2(3x - 7) + 2(x + 2)
P = 6x - 14 + 2x + 4
Combine like terms:
P = 8x - 10
Factor out the common term to reduce the algebraic expresssion into its simplest form:
P = 2(4x - 5)
Therefore, the perimeter of the given rectangle in its simplest form is:
P = 2(4x - 5).
Answer: 18 yellow flowers
Step-by-step explanation:
There are 9 flowers in each of the 6 rows. The total number of flowers planted is therefore:
= 6 rows * 9 flowers per row
= 54 flowers
A 1/3 of these flowers were yellow flowers so the number of yellow flowers planted is:
= 1/3 * 54
= 54/3
= 18 yellow flowers