Answer:
20 pounds / in^2
Step-by-step explanation:
Presssure = Force in pounds / Area in square inches.
Force: 60 pounds (given)
Area: 3 in^2 (given
Pressure = 60/3 = 20 pounds / square in
The volume of the sphere is 904.32 inch³.
Step-by-step explanation:
Step 1:
The given sphere has a diameter of 12 inches, so the radius is 
m.The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
The volume of a sphere, 
Step 2:
Here the radius is 6 inches. We take π as 3.14.
The volume of a full sphere, 
in³ .
The volume of the sphere is 904.32 inch³, This is the third given option.
Answer: width = 5 units
Step-by-step explanation:
Let L represent the length of the rectangle.
The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 35 units. It means that
L(L - 2) = 35
L² - 2L = 35
L² - 2L - 35 = 0
L² + 5L - 7L - 35 = 0
L(L + 5) - 7(L + 5) = 0
L - 7 = 0 or L + 5 = 0
L = 7 or L = - 5
Since the length cannot be negative, then
L = 7 units
Width = 7 - 2 = 5 units
Answer:
6. x = 2
7. 35721
Step-by-step explanation:
<h3><u>Question 6</u></h3>
Given equation:
Add 1 to both sides:
Divide both sides by 2:
Therefore, x = 2.
<h3><u /></h3><h3><u>Question 7</u></h3>
Given identity:
To find the square of 189, rewrite 189 as (200 - 11).
Therefore, a = 200 and b = 11.
Substitute these values into the given identity and solve:
<span>6n-21=21
Add 21 to both sides
6n=42
Divide both sides by 6
Final Answer: n=7</span>
