Answer:
and 
Step-by-step explanation:
(a)
A = 
× 4
× 
= 2 ×
= 
× 
← rationalise the denominator
= units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4 )² + ( )²
= 32 + 
= 
+
= 
( take the square root of both sides )
h = 
= 
× ← rationalise the denominator
h =
Answer:
The answer is about 32,000.
Step-by-step explanation:
If you multiply 3.2 by 10, for 10 years, you get 32 percent. From there, if you multiply 25,000 by 0.32, you get 8000. If you add 25,000 to 8000, you get about 32,000.
Answer:
C
Step-by-step explanation:
Since this is an indererminate form, use L'Hopital
d(sint)/dt = cos(t)
d[ln(2e^t) - 1] = (2e^t)/[2e^t - 1]
As t --> 0,
cos(0) = 1
(2e^t)/[2e^t - 1] = 2
1/2 is the limit
Circumference of a circle is the distance around the circle. This can be found by using the equation below
2*pi*radius
Our diameter, as shown, is 9cm. Since radius is half of the diameter, our radius is 4.5cm.
Therefore, our circumference is...
2 * pi * 4.5 = 9pi cm total
3x - 8 = 2x + 15
Add 8 to both sides
3x = 2x + 23
Subtract 2x from both sides
x = 23
