Answer:
see below :)
Step-by-step explanation:
This is a little complicated but base e which means Euler's number is usually used when solving logarithms. base e equals to 2.71828. You can kind of compare this to pi. This is an irrational number and usually is used in natural logs. I hope this helps.
Answer:
(x, y, z) = (36°, 60°, 84°)
Step-by-step explanation:
Using the given variable definitions we can write the equations expressing the problem conditions.
x + y + z = 180
y + z = 4x
z = y + 24
Substituting the second equation into the first, we have ...
x +4x = 180
x = 180/5 = 36
Substituting this value in the second equation and adding that to the third equation, we have ...
(y +z) +(z) = (4·36) +(y +24)
2z = 168 . . . . . . subtract y and collect terms
z = 84
y = 84 -24 = 60
The angle measures are ...
(x, y, z) = (36°, 60°, 84°)
Answer:
Yes, you can find the cube root of a negative number. The answer will be negative!
Step-by-step explanation:
Example: Find the cube root of -27
We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)
For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27
But if we are using a negative number: It is really different because we got to know the rules.
The setup: -3 x -3 x -3 = -27
If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:
9 x -3 = -27
The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"
Answer:
15°, 165°, 195°, 345°
Step-by-step explanation:
The reference angle, 15°, is the smallest angle the terminal ray makes with the x-axis. In the first and fourth quadrants, the positive x-axis is the reference line. The angles will be ±15°, or 360°-15° = 345° if you require all angles to be positive.
In the second and third quadrants, the negative x-axis is the reference. That is 180°, so the reference angle will be added to or subtracted from 180° to give 165° or 195°.
Answer:
x=-19/5
Step-by-step explanation:
-3x=2x+19
-3x-2x=19
-5x=19
x=19/-5