Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
So, let's first focus on the first year:
the population then would be: 23000* (100+2)%
100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.
So it will be 23000*1.02
After two years it will be 23000*1.02*1.02, and so on
so after x years it will be:
y=23000*
Answer:
110°
Step-by-step explanation:
128°+40°+82°+x°= 360°
so 250°+x°=360°
x°=360°-250°
x°=110°
Answer: she is 35.3 feet from the tree.
Step-by-step explanation:
Assuming her line of sight to the top of the tree is a straight line, then a right angle triangle is formed. The height of the tree, h represents the opposite side of the right angle triangle. Her distance, h from the tree represents the adjacent side of the right angle triangle. To determine h, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 27 = 18/h
h = 18/tan27 = 18/0.51
h = 35.3 feet
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
___
The rule of exponents is ...
a^-b = 1/(a^b)