Answer:
about 252.78 ft
Step-by-step explanation:
Define angle QMP as α. Then ...
MN = 60·sin(α)
NP = 60·cos(α)
area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)
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PQ = 60tan(α)
area MPQ = (1/2)(MP)(PQ) = 1800tan(α)
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The ratio of areas is 2.5, so we have ...
1800tan(α) = 2.5·1800sin(α)cos(α)
1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)
cos(α) = √0.4 . . . . . . solve for cos(α)
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Then the perimeter is ...
Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)
= 60(sin(α) +cos(α) +tan(α) +sec(α))
= 60(0.774597 +0.632456 +1.224745 +1.581139)
= 60(4.212936) = 252.776
The perimeter of the trapezoid is about 252.776 feet.
_____
With perhaps a little more trouble, you can find the exact value to be ...
perimeter = (6√10)(7+√6+√15)
Answer:
(-5 , 0) and (6 , 0)
Step-by-step explanation:
In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
we need to solve for x the equation (x-6)(x+5) = 0
(x-6)(x+5) = 0
⇌
x - 6 = 0 or x + 5 = 0
⇌
x = 6 or x = -5
therefore
the coordinates are :
(-5 , 0) and (6 , 0)
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:)
First one is c
second one is b
and third one is c
Answer:
The total distance they will travel on their trip is 308 miles.
Step-by-step explanation:
This question can be solved using a rule of three.
114 miles is 37% = 0.37. How many mines are 100% = 1?
114 miles - 0.37
x miles - 1
Rounding to the nearest mile
The total distance they will travel on their trip is 308 miles.
Answer:
I dont have too much info but its 12.50m
Step-by-step explanation:
12.50(1) is 12.50 12.50(2) is 25 buck and so on and so on
