Answer:
50 cm
Step-by-step explanation:
So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:

Then, this becomes

Divide both sides by 24

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: 

Therefore the length of the hypotenuse is 50 cm
12 is the diameter. We need the circumference which you get by multiplying 12x2 sides which = 24 which is the circumference
This is easy to do because you can factor
example
6/2=3 because 6=2*3 so 6/2=3/1 times 2/2 or 3
2x^3+17x^2+23x-42 can be factored out to equal
(x-1)(x+6)(2x+7)
so [(x-1)(x+6)(2x+7)]/(2x+7)=[(x-1)(x+6)] times (2x+7)/(2x+7)=(x-1)(x+6)=x^2+5x-6
the answer is (x-1)(x+6) or x^2+5x-6
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Now we will subtract equation 1 from equation 2 we get;

Dividing both side by 40 we get;

Now we will substitute the value of x in equation 1 we get;

So we can say that the equation can be written as;

Hence we can say that fixed rate is $60 and per student charge is $3.
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