Answer:
As in 4 hours , 20 men can cut 30 trees. So, in 1 hour , 20 men can cut 30 trees / 4. So, in 6 hours, 20 men can cut 30 * 6 trees / 4 = 45 trees.
Step-by-step explanation:
done
Answer:
4 pounds of lime and 5 pounds of pears
Step-by-step explanation:
I + P = 9
0.5l + 1.5P = 9.5
I = 9 - P
0.5(9 - P) + 1.5P = 9.5
4.5-0.5P + 1.5P = 9.5
4.5 + P (1P) = 9.5
P = 9.5-4.5 = 5
I = 9 - 5 = 4
Answer: 4 pounds of lime and 5 pounds of pears
Answer:
x=− 9
/4
or
=−2.250
Step-by-step explanation:
Answer:
- 225°
- quadrant 3
- reference angle of 45°
Step-by-step explanation:
585-360= 225
225° is in quad 3
reference angle for quad 3 is
225° - 180°
Answer:
The integral is equal to
for an arbitrary constant C.
Step-by-step explanation:
a) If
then
so the integral becomes
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case
hence
. We rewrite the integral as
.
c) We use the trigonometric identity
is part b). The value of the integral is
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.