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slega [8]
3 years ago
5

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
Let the numbers be 1k, 2k , and 3k respectively
Since the sum of their cubes is 4500,
(1k)³+(2k)³+(3k)³=4500
--> k³(36)= 4500
--> k = 5


Hence, the numbers are: 5,10 and 15 respectively

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How do you do this problem?
Burka [1]

Let area of triangle AEC = x

Area of triangle BAC = 1/2 * 15 * 12 = 90

Area of triangle DCA = 1/2 * 15 * 6 = 45

90 = p + x and

45 = q + x Subtracting the 2 equations:-

90 - 45 = p - q

Answer p - q = 45

7 0
2 years ago
Read 2 more answers
A and B are two cities.
Yuri [45]
<h2><u>Answer: </u></h2>

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

The reason for approximation is from distortion of image.

See attached image to understand ohw the measurement has been obtained.

5 0
2 years ago
An animal reserve has 40,000 elk. The population increases 11% a year. How long tell the population is equal to 80,000. If someo
sukhopar [10]

Answer:

7 years (This answer is to the nearest year)

Step-by-step explanation:

The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)

8 0
3 years ago
In the number 3,335 how many times greater is the value of the 3 on the left than the 3 on the right
AlekseyPX

Answer:

(If they were talking about 3,335, then) 100 times greater

(If they were talking about 3,335 then) 10 times greater

Step-by-step explanation:

When you visualize it, ignore the other numbers and think of only the threes.

Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.

Same as decimal moving and multiplying by 10's.

8 0
3 years ago
The time a basketball player spends in the air when shooting a basket is called the​ "hang time." the vertical leap l measured i
Marina86 [1]
Dénote l the vertical leap, then the given equation can be written like this:
l(t)=4t^2\\\text{Since one inch equate 0.0833333 feet then 44 inches equate  }\\44\times 0.0833333=3.6feet\\\text{Add to 33 feet like this:}\\33+3.6=36.6feet\\\text{Now we have to solve the equation:}\\4t^2=36.6\\\text{Divide over 4 we get:}\\t^2= \frac{36.6}{4}=9.15\\\text{Take the square root we get:}\\t=\sqrt{9.15}=3

The hang time equates then 3 seconds  
7 0
3 years ago
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