By cosine rule, the length of the longer diagonal is sqrt(60^2 + 40^2 - 2 x 60 x 40 cos 132) = sqrt(8,411.83) = 91.7 cm
The other angle of the parallelogram is 180 - 132 = 48
The length of the shorter diagonal is sqrt(60^2 + 40^2 - 2 x 60 x 40 cos 48) = sqrt(1,988.17) = 44.6 cm
Ok let’s solve it
5(x-2)^2-20=0
first let’s foil (x-2)
5(x^2-4x+4) -20=0
now distribute the 5
5x^2 -20x +20 -20 = 0
combine like terms
5x^2-20x=0
take the gcf
5x(x-4)=0
x=0, 4
solutions are (4,0) and (2, -20) because the original vertex form a(x-h)^2+k
First we have to determine how many people fir in each section.
Since these sections are evenly distributed, each section has a third of the capacity, thus= 15,000/3 = 5000 persons per section.
Now we determine revenue by section by multiplying times the ticket price.
5,000 * $10.00 = $50,000
5,000 * $12.50 = $62,500
5,000 * $15.00 = $75,000
We add up the totals for $187,500 and that's the answer!
<u>Answer:</u>
Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y Hence option C is correct
<u>Solution:</u>
Given expression is (-11x+31y) - 2(-x + 5y)
Need to find equivalent expression from four given option.
Let’s first simplify the given expression
(-11x+31y) - 2(-x + 5y)
On opening the brackets we get
-11x + 31y + 2x -10y
Now bringing similar terms together and performing appropriate operation, we get
-11x + 2x + 31y + -10y
Taking common terms out we get,
=> (-11 + 2) x + (31 -10) y
= -9x +21y
Therefore Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y.
Answer:
a^2 = c^2 - b^2
Step-by-step explanation:
With the pythagorean therom you have a^2 + b^2 = c^2
Therefore a^2 = c^2 - b^2 you get this by subtracting b^2 from both sides
Once you have all the numbers you can just get the square root of them and youll have what a is
