Answer:
Like terms means that the numbers have the same variable after them or they don't have a variable at all. It is also important to remember that any letter that doesn't have a number in front of it technically has a 1 in front of it.
For example, x + 3x = 1x +3x. Then I add the numbers in the front and I get 4x.
If it had been 4x + 7x + 3, my answer would have been 11x +3. That's because there were a total of 11 x, but the 3 ones weren't x's so I just leave them alone.
Step-by-step explanation:
Answer:
j = 19.6
k = 25.9
J = 49°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.
<h3>Analysis</h3>
The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.
<h3>Application</h3>
Hypotenuse = Opposite/Sin
IJ = 17/sin(41°) ≈ 25.9
Adjacent = Opposite/Tan
IK = 17/tan(41°) ≈ 19.6
Angle J = 90° -41° = 49°
In summary, ...
j = 19.6
k = 25.9
J = 49°
70-47=23
I think this is what you are talking about
Answer:
I have no idea if this would be right but I am guessing (for the 1/5 one) if you put 5 different colored marbles in a container and wanted to pull out a red one. You can also do this for the 1/10 one just use a different object.
Given
This is a one-tailed test.
Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.
