Please help me ( show ur work it’s multiple choice ):)

One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is

jasenka [17]

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter = 77

Equation: 4s + s + (s + 23) = 77

Combine like terms: 6s + 23 = 77

Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6: 6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

3 0

3 years ago

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$