Answer:
Step-by-step explanation:
We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.
We know that direction of vector with components 
can be determined by 
.
Upon substituting the components of given vector in above formula, we will get:
Upon rounding to nearest degree, we will get:
Therefore, the direction angle for vector v is 31 degrees.
Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
Answer:
y = 0.008x^2 + 0.518x + 131.886
Step-by-step explanation:
- Make sure your Plot 1 is ON. Select the Scatter Plots and the appropriate lists.
- Clear all functions in [Y=]
- Input data in L1 and L2. Go to [Stat] [Enter] to input data.
- Graph data points. ...
- Choose a regression from the list in [Stat] "CALC". ...
- Go to [ZOOM] "9: ZoomSTat" to view the data with the regression curve.
(credit: CPM Educational Program)
Answer:
a = 49°
Explanation:
You use the rule ‘exterior angle of a triangle’ which states that the exterior angle is equal to the sum of the two opposite interior angles.
To put it mathematically:
a + a = a + 49° (Ext angles of triangle)
a = a - a + 49°
a = 49°
Because there are parentheses we distribute the negative signs:
3 - 20i + (-14) - 6i + (-8) + 2i
Next combine like terms:
3 + (-14) + (-8) and -20i - 6i + 2i
-19 -24i
