The volume of the balloon is 500 cubic inches after 20 seconds
<h3>How to determine the volume?</h3>
From the given graph, we have:
- Time on the x-axis
- Volume on the y-axis
Also from the graph, we have:
V(20) = 500
This means that:
The volume of the balloon is 500 cubic inches after 20 seconds
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The gcf of 10 and 25 is 5
Answer:
x>-1
Step-by-step explanation:
5-2x<7
Subtract 5 from each side
5-5-2x<7-5
-2x < 2
Divide by -2
Remember that flips the inequality
-2x/-2 > 2/-2
x> -1
Answer:
Volume of Sphere is 33.51 ft^3
Volume of Cylinder is 37.7 m^2
Step-by-step explanation:
<u>Volume of a sphere formula: V = 4
/3πr^3</u>
<u>Volume of a cylinder formula: V = πr^2h</u>
<u />
<u>Step 1: Find the volume of the sphere</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = 4/3*π*(2)^3
<em>V = 33.51 ft^3</em>
<em />
Answer: Volume of Sphere is 33.51 ft^3
<u>Step 2: Find the volume of the cylinder</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = π*(2)^2*(3)
<em>V = 37.7 m^2</em>
<em />
Answer: Volume of Cylinder is 37.7 m^2
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
