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ladessa [460]
4 years ago
9

Can someone help me with System of Equations? Plz show ur work for the 3 answers plz

Mathematics
1 answer:
Step2247 [10]4 years ago
5 0
Let's make the price of tickets for adults x and children y, now form an equation
Friday - 55y + 20x = 200
Saturday - 72y + 36x = 306
Now you have to have either the x or the y cancel out, so you have to find the relationship between two of them
I am going to multiply the top equation by 9/5 to cancel out the x
99y + 36x = 360
72y + 36x = 306
Now I am going to multiply the bottom equation by -1 
-72y - 36x = -306
99y + 36x = 360
The x cancel out
27y = 54
y = 2
So the price of a child ticket is $2
Now plug 2 into one of the original equations 
55(2) + 20x = 200
20x = 90
x = 4.5
The price of an adult ticket is $4.50
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Kisachek [45]

Answer:

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Step-by-step explanation:

Hi there!

<u>1) Find the length of the other leg in the right triangle</u>

There are two ways we can go about this. The first way is to use trigonomic ratios:

We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:

tan\theta=\frac{opp}{adj}

Let x be equal to the length of the other leg. Plug in the known values:

tan45=\frac{x}{7}\\7*tan45=x\\x=7

The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.

<u>2) Determine the height of the hoop</u>

Add 7 ft and 5 ft (the person's height):

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I hope this helps!

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