Answer:
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is
we have
----> the radius is half the diameter
substitute
step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees
assume
substitute
Answer:
b = 3 units
Step-by-step explanation:
Area of a parallelogram = base × height
Thus,
Area = 21 units²
base = b
height = 7
Plug in the value into the formula
Thus:
21 = b × 7
Divide both sides by 7
21/7 = b
3 = b
b = 3 units
Answer:
Option 4 is correct
Step-by-step explanation:
If the rate is compounded continuously, the formula used to find the future value is:
A= Pe^rt
Where A = Future Value
P= Principal amount
r = interest rate in decimal
t = time
For the given data:
A=?
P = $5000
r = 7% or 0.07
t = 6
Putting values in the above formula
A= 5000e^(0.07 *6)
A = 7609.81
So, Option 4 is correct.
Options A, C and D are functions.
In a function, for every number for 'x' there is only one 'y'. So, if you have two ordered pairs in a choice that have the same number for 'x', that is not a function.
Remember an ordered pair is written (x, y).
B is not a function as:
(x, y)
(1, -2)
(1, -3)
(1, -4)
^ All of the x-coordinates are the same.
E is not a function as:
(x, y)
(6, -1)
(6, -8)
^ Two of the x-coordinates are the same.
Thus, A, C and D are functions.
Answer:
the answer is 1024
Step-by-step explanation:
