The pair of points is on the graph of an inverse variation. find the missing value.

(5, 4) and (x, 7)

The missing value of

Step-by-step explanation:  

The inverse variation is given by:  

Now convert this into an equation we must multiply the constant variation k we get,

To find the value of k;

use the coordinates (5,4) , where x =5 and y =4

then,

or

On Simplify, we get:

k = 20

the equation become:  

When y =7 we have;

(x ,7) =

therefore, the missing value x is,

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

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92