Diameter = 8 yards so the Radius = 4 yards:
Area of a sphere = 4π.R² and hemisphere = 2π.R²
Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)
Answer:
400
Step-by-step explanation:
use proportions
(60/x) * (15/100)
cross multiply
6000=15x
divide both sides by 15
400=x
It will take both of them 2 11/12 hours to complete the room
<h3>Fractions and proportions</h3>
Fractions are written as a ratio of two integers. For instance a/b is a fraction.
Let the time it will take them to complete the job together be "x" such that;
1/x = 1/5 + 1/7
Simplify
1/x = 7+5/35
1/x = 12/35
Cross multiply
12x = 35
x = 35/12
x = 2 11/12 hours
Therefore it will take both of them 2 11/12 hours to complete the room
Learn more on fractions here: brainly.com/question/78672
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Answer:
79, 80, 81
Step-by-step explanation:
<u>Creating an equation.</u>
let a = first number , a + 1 = second number and a + 2 = third number
the sum of these three consecutive numbers is 240
this means that , a + ( a + 1 ) + ( a + 2 ) = 240
<u>Solving for x using the equation created.</u>
a + ( a + 1 ) + ( a + 2 ) = 240
==> remove parenthesis
a + a + 1 + a + 2 = 240
==> combine like terms
3a + 3 = 240
==> subtract 3 from both sides
3a = 237
==> divide both sides by 3
a = 79
<u>Finding the 3 numbers</u>
First number = a
a = 79 so first = 79
Second number = a + 1
a = 79 so second number = 79 + 1 = 80
Third number = a + 2
a = 79 so third number = 79 + 2 = 81
The three numbers are 79, 80 and 81