The difference of the parallel sides of a trapezoidal field is 20 m. Its area is 450 m² and its altitude is 15m Find the length of the parallel sides.

The length of the parallel sides are 20 m and 40 m

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

where

A is the area

b_1 and b_2 are the parallel sides

h is the altitude

we have

substitute

-----> equation a

Remember that

The difference of the parallel sides of a trapezoidal field is 20 m

I will assume that

so

----> equation b

solve the system of equations a and b by elimination

Adds equation a and equation b

Find the value of b_2

substitute the given value

therefore

The length of the parallel sides are 20 m and 40 m

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560