In gym class students were asked to form six equal groups. If there were 18 students in each group, then how many total students
1 answer:
You might be interested in
Answer:
5. None of the above
Step-by-step explanation:
We have this information:
A = 60 cm2
b = 2*h - 1
Let's find out b and h:
The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have
Let's find h with the quadratic formula:
h = 8 or h = -7.5
But h represents the height of the triangle, so it has to be a positive number, that's h = 8.
If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.
Now we can calculate the hypotenuse with the Pythagorean equation
<em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle).
</em>
The base and the height are our legs. We will use "H" for the hypotenuse
H = 17
If we decrease the base and the height by 2 centimeters, we have
b' = 15 - 2 = 13 and h' = 8 - 2 = 6
With this, let's calculate the new hypotenuse:
So, the hypotenuse decreases
The equation of the line is given as 
A straight line equation is given in the form
where 
is the gradient and 
is the y-interest.
We need to rearrange to make 
the subject.
⇒ from here we can read the gradient and the y-intercept. The gradient, 
and 
.
<span>A line that is parallel to
will have the same gradient, but different y-intercept. One example of equation of a line that is parallel to is 
</span>
A straight line equation is given in the form
We need to rearrange
<span>A line that is parallel to
</span>
He pays in interest of $111.0375. Interest is calculated in the two ways, by compounding or by simple interest.
<h3>How to calculate simple interest amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R % annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
The given data in the problem is;
The principal is,P=$2700
The rate of interest = 3.5%
The total time interval is,T
The total time interval is;
The simple interest is found as;
Hence, he pays in interest of $111.0375.
To learn more about simple interest, refer to the link;
#SPJ1