Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
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<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
The equation for area of a triangle is given below.
Area of Triangle = 0.5*Base*Height
Since we are given that the base is 8 yards and height is 3 yards...
Area of Triangle = 0.5 * 8 yards * 3 yards = 12 yards^2
Answer:
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, so you insert the proportion and get 18. When the tank is three-fifths full, it contains 18 gallons of gas.
The volume of the pyramid is 40
.
Explanation
The volume of the pyramid is determined by its base area and the height.
Given that
The base of the pyramid given in the problem is a rectangle
length of the base= 5 cm
breadth of the base=4 cm
base area A= length*breadth(area of rectangle)
=4*5=20 
height of the pyramid h=6 cm
volume of the pyramid=1/3 Ah
=1/3 *20*6=40