Answer:
30 students
Step-by-step explanation:
3 students = 10% of the class.
x students = 90% of the class.
(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)
x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)
x= 9/1 × 3 students ( 9/1 is the same as 9)
x= 27 students
(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)
Total number of students in the class = 27 students + 3 students
= 30 students
Answer:
x^2 -10x+25
Step-by-step explanation:
(x-5)^2
Rewriting
(x-5)(x-5)
FOIL
first: x*x = x^2
outer: x* -5 = -5x
inner: -5*x = -5x
last: -5 * -5 = +25
Add them together
x^2 -5x-5x+25
Combine
x^2 -10x+25
Answer:
Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.
Step-by-step explanation:
Given :
,
and 
To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
Solution :

Substitute a=1.5,



Now, taking function 
Substitute C=9750,



Now, taking function 
Substitute a=1.5,



Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.