<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking 
on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>
The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
Read more about areas at:
brainly.com/question/24487155
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Answer:
The confidence interval is (24116.3878,24883.6122).
Step-by-step explanation:
We are given the following information in the question:
Population mean, 
= $23,500
Sample mean,
= $24,500
Sample standard deviation,s = $2,800
Sample size, n = 146
Confidence interval:
Putting the values, we get,
The confidence interval is (24116.3878,24883.6122).
Isolate the variable by dividing each side by factors that don't contain the variable.
Multiply 12 by 37%.
12 × 0.37 = 4.44
B) at least 4
It could also be c... 4.44 is less than 8. But B is the closest answer to 4.44.
