If secant of theta =
<span>
<span>
<span>
1.0416666667
</span>
</span>
</span>
then
theta = 16.26 Degrees
cotangent of theta = 3.4286
Complete question:
Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.
Answer:
$159.60
Step-by-step explanation:
Given the following :
Sales tax = 5%
Percentage discount = 20%
Original cost = $190
Joel's incorrect expression : 0.95(190)(0.8)
Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.
B.) 20% discount = 0.2 will be deducted from 100%(1)
1 - 0.2 = 0.8
5% sales tax = 0.05 will be added :
1 + 0.05 = 1.05
Original cost = $190
Therefore,
Total cost : Original cost * sales tax * discount
Total cost = $190 * 1.05 * 0.8
Total cost = $159.60
Answer:
C. 10
Step-by-step explanation:
We are given a graph representing the height of the elevator with respect to time.
Since, we know that,
X-axis represents the 'time' in seconds and y-axis represents the 'height of the elevator' in feet.
As, the coordinate points on the graph are given by,
(1,10), (2,20), (3,30) and (4,40).
So, the rate of change can be found out by solving, 
.
Hence, the rate of change of the relationship is 10.
Hey there! :)
Answer:
(1, 0).
Step-by-step explanation:
Convert from standard form to vertex form by completing the square:
y = x² - 2x + 1
Move 1 to the other side:
-1 = x² - 2x
Complete the square. Remember to add to both sides:
-1 + (1) = x² -2x + 1
Simplify:
0 = (x - 1)²
The function in vertex form is:
y = (x - 1)²
Therefore, the vertex is:
(1, 0).
It forms an acute angle.
The obtuse angle is greater than 90 degrees but less than180 degrees. So if a bisector is introduced, the resulting angle is acute. An acute is less than 90 degrees.
