Answer:
See below
Step-by-step explanation:
<u>Example:</u>
Let's pretend you were solving . If we take the logarithim of both sides, then we eliminate the base on the left side. So this would be . Then, you'll get your answer of .
Y=12
x=6
The triangle is a 30-60-90 triangle!
Answer:
Step-by-step explanation:
hypotenuse is
because 14^2 + 3^2 = c^2
sin is =
cos is =
tan is
<h2>
1. FIRST QUESTION.</h2>
M is directly proportional to
Suppose you have two variables, say, . We say that varies directly as or, in other words, is directly proportional to if and only if:
Where is a nonzero constant called the constant of proportionality.
Knowing this, we can solve this problem. Here is directly proportional to . So:
We know that when , hence the constant of proportionality can be found as follows:
So:
<h3>PART A)</h3>
When , then:
<h3>PART B)</h3>
When , then:
<h2>2. SECOND QUESTION.</h2>
M is directly proportional to
We know that when , hence the constant of proportionality is:
So:
<h3>PART A)</h3>
When , then:
<h3>PART B)</h3>
When , then:
Part A: 216 students/ 12 classrooms= 18 students: 1 classroom.
Part B: 104 students/ 4 classrooms= 26 students: 1 classroom.
The average ratio of students to classrooms in both school is:
[(18 students: 1 classroom)+ (26 students: 1 classroom)] /2= 22 students: 1 classroom.
26 students - 22 students= 4 students.
There are 4 students who would have to transfer from School B to School A for the ratios of students to classrooms at both schools to be the <span>same, which is 22 students: 1 classroom.
Hope this helps~</span>