The table below lists four names and their corresponding aproximant weights on earth.

mass (kilograms) | weight (newtons)
20 | 196
50 | 490
x | 1078
130 | 1274
140 | 1372
the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?
a. 98/10; x =90
b. 98/10; =110
c. 10/98; x =90
d. 10/98; x= 110

The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B

Step-by-step explanation:

* Lets explain how to solve the problem

- The mass (kilograms) values are

  20 , 50 , x , 130 , 140

- The corresponding weight (newtons) values are

  196 , 490 , 1078 , 1274 , 1372

* Lets find the ratio between weight to mass

∵ 196/20 ⇒ divide up and down by 2

∴ 196/20 = 98/10

∵ 490/50 ⇒ divide up and down by 10

∴ 49/5 ⇒ multiply up and down by 2

∴ 49/5 = 98/10

∴ 490/50 = 98/10

∵ 1274/130 ⇒ divide up and down by 13

∴ 1274/130 = 98/10

∵ 1372/140 ⇒ divide up and down by 14

∴ 1372/140 = 98/10

- All the ratios between weight to mass equal 98/10

∴ 1078/x = 98/10 ⇒ by using cross multiplication

∴ 98(x) = 1078(10)

∴ 98 x = 10780 ⇒ divide both sides by 98

∴ x = 110

* The statement which describes the ratio of weight to mass and the

  value of x is 98/10; = 110

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

my answer got deleted but it's a

step-by-step explanation: