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zvonat [6]
3 years ago
13

A rotating beacon is located 1 kilometer off a straight shoreline. If the beacon rotates at a rate of 3 revolutions per minute,

how fast (in kilometers per hour) does the beam of light appear to be moving to a viewer who is 1/2 kilometer down the shoreline?
Mathematics
1 answer:
Valentin [98]3 years ago
5 0
Find the radius of the circle by finding the distance between the viewer and the beacon. 
then find the circumference by using 2πr2

this will be the distance the light covers over 1 revolution.
then using dimensional analysis:
3 rev/min (7.037 km/rev) (60 min/1 hr) = 1266.7 km/hr
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What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms?
mylen [45]

Answer:

1, 4, 16, 64, 256, 1024, 4096, 16384

Step-by-step explanation:

Multiply by 4

6 0
2 years ago
Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen o
Alexus [3.1K]

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

6 0
3 years ago
A rectangle has a perimeter of 196 meters and a length of 50 meters.What is the width of the rectangle? Explain.
matrenka [14]
Answer: 48 meters

we already know that one side is 50 m, so since it's a
rectangle you can multiply 50 by 2 which gives you 100. Know you have two sides left (which would be the same number) . You can do it easy and subtract 196 and 100 which gives you 96. Then, divide 96 by 2 and you get 48.

---- check: do 48(2)+50(2) it will give you 196


HOPE THIS HELPED

3 0
3 years ago
Why do they plague me with this? Please help.
erma4kov [3.2K]
150 in hop that helps
5 0
3 years ago
Read 2 more answers
If x= -3 calculate the value of x squared minus x
tester [92]
-3 times -3=9
9-(-3)=9+3
9+3=12
Hope this helps and please give brainliest!
8 0
3 years ago
Read 2 more answers
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