Answer:
B) 28.53 unit²
Step-by-step explanation:
The diagonal AD divides the quadrilateral in two triangles:
- Triangle ABD
- Triangle ACD
Area of Quadrilateral will be equal to the sum of Areas of both triangles.
i.e.
Area of ABCD = Area of ABD + Area of ACD
Area of Triangle ABD:
Area of a triangle is given as:

Base = AB = 2.89
Height = AD = 8.6
Using these values, we get:

Thus, Area of Triangle ABD is 12.43 square units
Area of Triangle ACD:
Base = AC = 4.3
Height = CD = 7.58
Using the values in formula of area, we get:

Thus, Area of Triangle ACD is 16.30 square units
Area of Quadrilateral ABCD:
The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²
None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²
Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3
Step-by-step explanation:
The data we have is:
Gonzales has $42.50
He wants to buy:
a shirt that costs $29
some bracelets that cost $4.50 each.
The equation that we need to solve is:
Total cost = money that Gonzales has.
The cost is $29 + x*$4.50
where x is the number of bracelets he can buy.
The equation that we need to solve is:
$29 + x*$4.50 = $42.50
to solve it we must isolate x:
x*$4.50 = $42.50 - $29 = $13.50
x = 13.50/4.50 = 3
So we have that Mr. Gonzales can buy a total of 3 bracelets.
Answer:
A) Proportion.
Step-by-step explanation:
The distribution of sample proportions leads or may tends to approximate a normal distribution and is an unbiased estimator that has a graph that is usually distributed and is not skewed. In other words, simply, we can also say that the population proportion is basically defined to be as the mean of the sample proportion. The population proportion is basically equaled the expected value of the sample proportion.