Answer:
=
Step-by-step explanation:
v8 + 3 = 8 + v3
-3 -3
________________
v8 = 5 + v3
-v3 -v3
___________
v5 = 5
The value of x is 3. The correct option is the third option- 3
The width of the backyard is 9 yards. The correct option is the first option- 9 yards
<h3>Perimeter of a Rectangle </h3>
From the question, we are to determine the value of x
13.
Perimeter of a rectangle = 2 (l + w)
Where l is the length
and w is the width
From the given information,
Perimeter = 24 cm
In the given diagram,
l = 3x cm
w = 3 cm
Thus,
24 = 2(3x + 3)
24 = 6x + 6
6x = 24 - 6
6x = 18
x = 18/6
x = 3
Hence, the value of x is 3. The correct option is the third option- 3
14.
From the given information,
The width of the yard is 3 less than 4 times the length
That is,
w = 4l - 3 --------- (1)
Also,
Perimeter = 24 yards
∴ 24 = 2(l + w) ---------- (2)
Put equation (1) into (2)
24 = 2(l + w)
24 = 2(l + 4l - 3)
24 = 2(5l - 3)
24 = 10l - 6
10l = 24 + 6
10l = 30
l = 30/10
l = 3 yards
Substitute the value of l into equation (1) to get w
w = 4l - 3
w = 4(3) - 3
w = 12 - 3
w = 9 yards
Hence, the width of the backyard is 9 yards. The correct option is the first option- 9 yards
Learn more on Perimeter of a rectangle here: brainly.com/question/24571594
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Answer:
Due to having 24 divisors.
Step-by-step explanation:
360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.
Remember that the formula for the surface area of a sphere is

. Substitute the given surface area to solve:

. Divide by 4 on both sides:

. Divide by pi on both sides:

. Square root on both sides to find the radius:
Answer:
Jacksonville
Step-by-step explanation: