Answer:
This is a right triangle
Step-by-step explanation:
We will use the Pythagorean theorem
a^2 + b^2 = c^2
If this is true it is a right triangle
5^2 + 12^2 = 13^2
25+144 = 169
169 =169
This is true so this is a right triangle
1: establish the angles, basically label one x (the small one) and the other y (the bigger one)
2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.
3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8
4. plug in the equation of the bigger one into the other equation
x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180
5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47
6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133
i hope i explained it alright
Answer:
(a)
1 sig: 0.005
2 sig: 0.0048
3 sig: 0.00482
(b)
1 sig: 50
2 sig: 50.
3 sig: 50.0
(c)
1 sig: 0.0010
2 sig: 0.00098
3 sig: 0.000981
Step-by-step explanation:
Significant Figures Rules:
- Any non-zero digit is significant.
- Any trailing zeros after the decimal is significant.
- Any zeros between 2 significant digits are significant.
- Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.
(a)
0.004816 - the zeros are placeholders, so they do not count as sig figs.
(b)
50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.
(c)
0.0009812 - the zeros are placeholders, so they do not count as sig figs
8*10^0
<em><u>ANYTHING to the power of 0 is ALWAYS 1. </u></em>
8*1
8 is the correct answer.
The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.
This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.
Second equation is:
Qx - 6y = 8
Taking 2 common we get:
(Q/2)x - 3y = 4
Comparing this equation to x- 3y = 4, we can say that
Q/2 = 1
So,
Q = 2
Therefore, the second equation will be:
2x - 6y = 8
