12. What is the area of the quadrilateral?

kogti [31]

745/x=100/36
(745/x)*x=(100/36)*x
745=2.7777777777778*x
(2.7777777777778) to get x
745/2.7777777777778=x 
268.2=x 
x=268.2

answer 36% of 745=268.2

8 0

2 years ago

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the

Nitella [24]

Answer:

The solution to this system is (4, 1/6).

Step-by-step explanation:

Please separate these two equations for clarity. I like to write them in column format:

2.5y + 3x = 27

5x – 2.5y = 5

---------------------

8x = 32, and x = 4.

Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.

Then 20 - 2.5y = 5, or 15 = 2.5y. Solving for y, we get y = 1/6.

The solution to this system is thus (4, 1/6).

5 0

2 years ago

Read 2 more answers

Help me plzz and thank u sm

vladimir2022 [97]

Answer:

The equation of the axis of symmetry is x = 7

Step-by-step explanation:

Mathematically, we have the equation of the axis of symmetry as;

x = -b/2a

where a is the coefficient of x^2 = 1

b is the coefficient of x which is -14

So, the equation of the axis of symmetry will be;

x = -(-14)/2(1) = 14/2 = 7

So the equation of the axis of symmetry is x =7

6 0

2 years ago

A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 5050 states. what is the probability that

defon

Part A:

Given that A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.

The number of ways of selecting the route of 4 specific capitals is given by

$^{50}P_4= \frac{50!}{(50-4)!} = \frac{50!}{46!} =50\times49\times48\times47=5,527,200$

Therefore, the probability that she selects the route of four specific capitals is $\frac{1}{5,527,200}$

Part B:

The number of ways of selecting the route of 4 specific capitals is 5,527,200.

Since the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.

Therefore, "No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."

3 0

3 years ago

In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This 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.

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