Think of one leg of a right triangle is 21' and the length of the hypothenuse is 29' what is the length of the other leg

length of other leg = 20'

Step-by-step explanation:

Given:

One leg of triangle let it be base of triangle = 21'

Hypotenuse = 29'

To Find:

Third leg =perpendicular = ?

Solution:

Given is a right angled triangle with two of its sides given to us

We have Pythagoras theorem for right angled triangle and according to it

Pythagoras theorem is

for a right angled triangle

(hyp) ² = (perp)²+(base)²

We have the values of hyp and base

putting them in the equation we get

(29) ² = (perp) ²+(21) ²

841 = (perp) ² + 441

subtracting 441 from both sides we get

841 - 441 = (perp) ² + 441 - 441

400 =  (perp)²

or

(perp) ²=400

Taking square root of both sides

it gives us

perp = ± 20'

As it is length and it can not be negative so

perp = 20'

or

length of other leg = 20'

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116