The number of stamps that kaye and alberto had were in the ratio 5 : 3, respectively. after kaye gave alberto 10 of her stamps, the ratio of the number kaye had to the number alberto had was 7 : 5. as a result of this gift, kaye had how many more stamps than alberto?
a. 20
b. 30
c. 40
d. 60
e. 90

D.

Step-by-step explanation:

Let the number of stamps Kaye had be k and that of Alberto be a. Then we know that are in a ratio of 5 to 3.

Hence, k : a = 5:3

or 3k = 5a

Then Kaye gave Alberto 10 of her stamp to make the ratio 7:5

k - 10/a + 10 = 7/5

Cross multiply:

5(k - 10) = 7(a + 10)

5k - 50 = 7a + 70

5k - 7a = 120

Let us now solve the last equation simultaneously with the equation 3k = 5a

5k - 7a = 120

3k - 5a = 0

Multiply equation 1 by 3 and equation 2 by 5

15k - 21a = 360

15k - 25a = 0

Subtract 1 from 2, 4a = 360

and thus a = 90

We know 3k = 5a

3k = 5 * 90

k = 450/3 = 150

Now if we subtract 90 from 150, this yields 60

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°