Answer:
The terminal point is (1, 0) ⇒ D
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
- The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
- The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
- The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
- The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1
In a unit circle
∵ Ф = 2π radians
∵ 2π radians = 360°
→ By using the 1st rule above
∴ The terminal point is (1, 0)
Answer:
<em>4 + 7x – 2</em>
Step-by-step explanation:
<u>Equivalent Expressions</u>
Let's find out which expressions are equivalent by simplifying them. One of the expressions should be not equivalent to the other three.
Simplifying

Now for the second expression

The third expression simplifies to

Finally, this is the simplification for the expression

As seen, the only expression not equivalent to the other three is 4 + 7x – 2
Both angles need to equal 180 degrees .
Add them together:
2x +10 + 3x-5 = 180
5X +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
X = 175 / 5
X = 35
Now replace X with 35 in each equation:
2x +10 = 2(35) +10 = 70 +10 = 80
3x-5 = 3(35) - 5 = 105 -5 = 100
The answer is A. 80 and 100
Answer:
Step-by-step explanation:
Daily temp(in F) Cakes sold
42 39
45 52
48 31
54 61
59 72
62 35
64 61
65 34
67 58
75 45
84 24
To find whether there is an association between these two let us find the correlation coefficient between these two variables.
r=-0.1975
Since |r|<0.5, correlation is weak.
Let us test the hypothesis r =0
H0:r=0
Ha:r not equals 0
Test statistic = 
p =0.298
Since p value >0.10, at 90% significance level we accept that there is no association.