Answer: 
; 
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
<u>Pythagorean's Theorem:</u>
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.
<u>Sine of the Angle:</u>
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:
Plug this value of 'y' into the first expression derived from Pythagorean's theorem:
Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:
<span>1. It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the axis. This is true (though I wouldn't have used the word "incorrect") but the "incorrectness" is relatively small.</span>
<span>2. It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis. This is true and the "incorrectness" is relatively large. </span>
<span>3. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the axis. This is plain nonsense!</span>
<span>4. It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis. This is also plain nonsense!</span>
<span>So, of the options on offer, I think 2. best describes the graph</span>
I don't understand, but, two form a triangle your two SHORTEST sides have to equal LARGER than your LONGEST side. Example: 2,3,4
The two shortest sides are 2 and 3. 2+3=5 Is the sum greater than the largest side,4,? Yes, therefore it makes a triangle.
Answer:
I think its A=D but not sure
Answer:
Step-by-step explanation:
The change of base formula is
so filling in our given:
(Note: you do not have to put the base of 10 in the change of base formula because the "normal" base for a log is 10 and that is how your calculator figures it.)
Do this on your calculator to get
Not sure how many decimal places you needed!
