A general arranges his students to form a perfect square. He finds that in doing so 60 soldiers were left out if total number of soldiers be 8160 find the number of soldiers in each row

90

Step-by-step explanation:

Given that :

Number of soldiers = 8160

Number left out = 60

Result of arrangement gives a perfect square ;

Hence, the number of soldiers which makes up the arrangement will be ;

Total number of soldiers - number left out

8160 - 60 = 8100

Hence 8100 soldiers were used to form a perfect square ;

Number of soldiers in a row :

√8100 = 90

Hence, we have 90 soldiers in a row

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)