Answer:

Step-by-step explanation:
The sum of N consecutive natural numbers is given by:

We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:




Answer:
C
Step-by-step explanation:
Answer:
systematic sampling
Step-by-step explanation:
This is when you start at a person (using a number that is randomly generated) and go up in intervals to select a sample.
Hope this helps!
Answer: 299
Step-by-step explanation:
Given
Family removes one-third of tress in June as much as they dd in July
They remove twice the number of July in august
Suppose they removed x trees in July
for June it is, 
for August, it is 
If they removed less than 1000 tress in 3 months

So, maximum number of tress removed in July is 299
Answer:
x = 35°
Step-by-step explanation:
The question is as following
cos x = sin(20 + x)° and 0° < x < 90° , find X?
==============================================
cos x = sin(20 + x)°
sin and cos are co-functions,
which means that: cos x = cos [90 - (20 + x)]
∴ x = 70 - x
∴ 2x = 70
∴ x = 35°
======================
Note: cos θ = sin ( 90 - θ )