<u>Given</u>:
Given that ABC is a right triangle.
The length of AB is 7 units.
The measure of ∠A is 65°
We need to determine the length of AC
<u>Length of AC:</u>
The length of AC can be determined using the trigonometric ratio.
Thus, we have;

Where the value of
is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.
Substituting the values, we have;

Substituting AB = 7, we have;

Multiplying both sides by 7, we get;



Rounding off to the nearest hundredth, we get;

Thus, the length of AC is 2.96 units.
Answer:
2.871*10^9
Step-by-step explanation:
add a decimal point at the end of the number ( 2,871,000,000.) then count how many places it takes to move the decimal point between the first and second number (2.8) then write the rest of the numbers higher than "0" after, giving you the 2.871
to show that the number written is in scientific notation you add 10 to the power of the amount of times you moved the decimal place. In this case, because the decimal point was moved a total of 9 times, it would be 10 to the 9th power (10^9).
We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.
<h3>
Is the fence enough?</h3>
For a rectangle of length L and width W, the perimeter is given by:
P = 2*(L + W).
In this case, we know that:
L = 120 ft
W = 75 ft
Replacing that on the perimeter equation we get:
P = 2*(120 ft + 75 ft) = 390 ft
So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.
So the statement is correct.
If you want to learn more about perimeters, you can read:
brainly.com/question/24571594
First Chart: Perimeter
Square Portion:
Original Side Lengths: P = 4 (1 + 1 + 1 + 1 ) =4
Double Side Lengths: P = 8 (2 x 4 = 8)
Triple Side Lengths: P = 12 (4 x 3 = 12)
Quadruple Side Lengths: P = 16 (4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: P = 6 (1 x 2 + 2 x 2 = 6)
Double Side Lengths: P = 12 (2 x 2 + 4 x 2 = 12)
Triple Side Lengths: P = 24 (4 x 2 + 8 x 2 = 24)
Quadruple Side Lengths: P = 48 (8 x 2 + 16 x 2 = 48)
Second Chart: Area
Square Portion:
Original Side Lengths: A = 1 (1 x 1 = 1)
Double Side Lengths: A = 4 (2 x 2 = 4)
Triple Side Lengths: A = 9 (3 x 3 = 9
Quadruple Side Lengths: A = 16 ( 4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: A = 2 ( 1 x 2 = 2 )
Double Side Lengths: A = 8 ( 2 x 4 = 8)
Triple Side Lengths: A = 18 ( 3 x 6 = 18)
Quadruple Side Lengths: A = 32 (4 x 8 = 32)
<span>2 • (7v + 11) over
4 is your answer :)</span>