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enot [183]
3 years ago
14

one of the world's largest stained glass windows is at kennedy International Airport in New York. It is a rectangle with a heigh

t to length ratio of 2 to 25. If the window is 24 feet high how long is it?
Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
This is just a basic proportion problem. we are comparing the RATIO of the height to length. so the ratio would b 
height    height
--------     -------
length    length  . the numbers it gives us are 2 to 25 so substitute those in on the same side since they go together. 
24     2
---   ---
x    25. they also told is that the height of the window is 24 so put that on the top too because its length. then just cross multiply to get 2x=600 
then divide and get the answer of x=300
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bogdanovich [222]
Problem 1)

AC is only perpendicular to EF if angle ADE is 90 degrees

(angle ADE) + (angle DAE) + (angle AED) = 180
(angle ADE) + (44) + (48) = 180
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(angle ADE) + 92 - 92 = 180 - 92
angle ADE  = 88

Since angle ADE is actually 88 degrees, we do NOT have a right angle so we do NOT have a right triangle

Triangle AED is acute (all 3 angles are less than 90 degrees)

So because angle ADE is NOT 90 degrees, this means AC is NOT perpendicular to EF

-------------------------------------------------------------

Problem 2)

a) The center is (2,-3) 

The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2

---------------------

b) The radius is 3 and the diameter is 6

From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2

where
h = 2
k = -3
r = 3

so, radius = r = 3
diameter = d = 2*r = 2*3 = 6

---------------------

c) The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.

Some points on the circle are

A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)

Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.

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3 years ago
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Elanso [62]

Answer:

Correct answer is - 31/4

Step-by-step explanation:

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