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olga2289 [7]
2 years ago
12

An astronaut visited mars. his weight on earth was 180 pounds, and his weight on mars was only 72 pounds. he removed a rock with

a weight of 16 pounds on mars. what is the weight of the rock on earth?
Mathematics
2 answers:
Anton [14]2 years ago
3 0
The question given above may be answered through the concept of ratio and proportion. The ratio of the man's weight on Earth and Mars should be equal to the ratio of the rock's weight on Earth and Mars. By letting x be the rock's mas on Earth, the equation that would best represent the situation is,
                          180 / 72 = x / 16
The value of x is equal to 40. Thus, the rock weighs 40 pounds on Earth. 
pogonyaev2 years ago
3 0
So here is how we are going to get the answer. Given that the astronauts weight is 180 pounds on earth and 72 pounds in mars, we can put it like this: 180:72. If a rock is 16 pounds on mars, we are going to find the weight of the rock on earth by cross multiplication. So, 180 : 72 is to ? : 16. So the answer would be 40. The answer therefore would be 40 pounds. Hope this helps.
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Answer:

1. 23.8

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Step-by-step explanation:

<u>for the first blank</u>

use sin because x is opposite and 25 is hypotenuse

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sin(72)= (x/25)

multiply both sides by 25:

25(sin(72))= (x/25)25

25(sin(72))= x

multiply 25 by sin(72):

23.8 = x

<u>for the second blank</u>

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

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4 0
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leonid [27]

Answer:

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Step-by-step explanation:

We need to determine 55% of 2100 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2100.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2100 = 100%.

Step 4: In the Same way, x = 55%.

Step 5: On dividing the pair of simple equations we got the equation as under

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(2100%)/(x%) = 100/55

Step 6: Reciprocal of both the sides results in the following equation

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Step 7: Simplifying the above obtained equation further will tell what is 55% of 2100

x = 1155%

Therefore, 55% of 2100 is 1155

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