BC = EF
the side has to lie between the two angles
Let the length equal x
Then the width would be 4x + 8 (8 feet more than 4 times the length)
Area = length x width:
5,472 = x * 4x+ 8
Simplify:
5472 = 4x^2 + 8x
Subtract 5472 from both sides:
4 x^2 + 8x - 5472 = 0
Use the quadratic formula to solve for x.
X = 36
Now you know the length is 36 feet
The width = 4(36) + 8 = 152 feet
Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.
The answer is B. 376
Answer:
the angle <ABC is equal to 65°
This isn't a math question and should be in the science section. However, I will still answer the question. The answer is choice B.
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Here's a further breakdown
A. False. The radiation or energy from the sun can travel through air or else you wouldn't feel the sun's rays. Also, plant life wouldn't be alive without that energy going through the air.
B. True. The rays travel through a vacuum of space. If they couldn't travel through space, then the same problem comes up as in choice A: the issue of not feeling the sun's rays.
C. False. They rays have different frequencies. Because there are many wavelengths (see choice D below), this means there are different frequencies. Recall that f = 1/w where f is the frequency and w is the wavelength.
D. False. The rays are made of different wavelengths. The visible light portion is what we can see, though there is a lot more to the electromagnetic spectrum (eg: ultraviolet light).
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So once again, the answer is choice B
Answer:
10 / 12
simplified:
5/6
since 5 is a prime number, we can't simplify this ratio any further
