Answer:
Protractor
Step-by-step explanation:
A POSTULATE, LAW OR THEORY SHOULD NEVER BE ALTERED
∴ The protractor postulate states that the measurement of an angle between two rays can be designated as a unique number, and this number would be between 0 and 180 degrees, Hence for every angle A, there corresponds a positive real number less than or equal to 180. This postulate guarantee the use of a protractor to measure angles.
Hence, Given line AB and point O on that line in such a way that any ray that can be drawn with its endpoint at O can be put into a one- to-one correspondence with the real numbers between 0 and 180 is a statement that explains Protractor's Postulate.
Answer:
tanx = sinx/cosx
Step-by-step explanation:
Given the expression
sin x cos x tan x = 1 - cos^2x
According to trigonometry identity
tan x = sinx/cosx
Substitute into the expression. From LHS
sin x cos x tan x
= sin x cos x (sinx/cosx)
= sin²x
Also since sin²x+cos²x = 1
Hence sin²x = 1 - cos²x (RHS)
The correct option is therefore tanx = sinx/cosx
Answer:
Weekly cost= $26.83
Step-by-step explanation:
Giving the following information:
Her group medical insurance costs $4,650.00 a year, and the company pays 70% of the costs.
<u>First, we need to calculate how much she pays a year:</u>
Cost per year= 4,650*0.3
Cost per year= $1,395
<u>Now, the weekly cost:</u>
Weekly cost= 1,395/52
Weekly cost= $26.83
9514 1404 393
Answer:
y = 0.2·0.5^x
Step-by-step explanation:
The form of an exponential function is ...
y = a·b^x
If you look at the values of this for x=0 and x=1, you find ...
<u>For x=0</u>
y = a·b^0 = a·1 = a
The table tells us the corresponding value of y is 0.2, so ...
a = 0.2
<u>For x=1</u>
y = a·b^1 = ab
For the given value of a and the table value of y for x=1, we have ...
0.1 = 0.2·b
b = 0.1/0.2 = 1/2 = 0.5
Then the exponential function that describes the table is ...
y = 0.2·0.5^x