<span>The vertical asymptotes of the function cosecant are determined by the points that are not in the domain.</span>
I gotchu
The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.
Let's solve for the length, using the formula to see how much the length changes from.
p = 2l + 2w
35 = 2l + 2(15)
35 = 2l + 30
5 = 2l
2.5 = l
We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²
Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².
Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²
To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157
The area of shaded region is 157 cm²
Answer:
$8146.67
Step-by-step explanation:
Under the U.S. Rule, unpaid accrued interest is accumulated separately and is not added to principal. In addition, interest is not calculated until a payment is made.
Principal = $12 000.00
1st period = 40 days
Interest on 1st period
= $12 000 × 0.11 × 40/360 Interest = 146.67
Principal + interest = 12 146.67
-Partial payment = 4 000.00
Adjusted balance = $ 8 146.67
Roger's adjusted balance after the first payment is $8146.67.