Answer:
<em>Area = 254.34 inches ³</em>
Step-by-step explanation:
The formula to find the surface area of a sphere is:
To find the volume of the sphere, we first need to figure out the radius (
) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. 
Divide both sides by pi (
).
Divide both sides by 4.
Find the square root of both sides.
<em>radius = 9</em>
<em />
Insert the value of the radius into the formula for finding the volume of a sphere. 
<em>Area = 254.34 inches ³</em>
<em />
~Hope this helps!~
Answer:
20 and 50
Step-by-step explanation:
x + y = 70
y = 2x + 10
Use the substitution method:
y = 70 - x
y = 2x + 10
70 - x = 2x + 10
3x = 60
x = 20
x + y = 70
20 + y = 70
y = 50
<u>x = 20</u>
<u>y = 50</u>
<u />
Answer:
Yes!
Step-by-step explanation:
We know that right triangles follow the Pythagorean Theorem, where
So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.
If this works, we know it's a right triangle.
1089 + 1936 = 3025
3025 = 3025
It worked! It's a right triangle!!
Answer:
Step-by-step explanation:
The given inequality is 3x-2>4 or 
We group similar terms to obtain: 3x>4+2 or 
Simplify to get:
3x>6 or 
x>2 or 
This implies that the solution set is all real numbers.
The solution in interval notation is
From the figure the given line passes through the points (0, 0) and (-4, 8).
Recall that the equation of a straight line is given by
Thus, The equation of the given figure is given by
