The equation of a circle is in the form:
x² + y² = r²; where r is the radius.
We find the diameter using the distance formula:
D = √[(-4 - 6)² + (4 + 2)²]
D = 2√(34)
r = D/2 = √(34)
x² + y² = [√(34)]²
x² + y² = 34
Answer:
383.4 km
Step-by-step explanation:
The interior angle at the first turning point in the triangular flight path has measure 270° -215° = 55°. The law of cosines can be used to find the length of the final leg:
c² = a² +b² -2ab·cos(C)
c = √(125² +137² -2·125·137·cos(55°)) ≈ √14749.01 ≈ 121.4
The total length of the journey is then ...
round trip = 125 +137 +121.4 = 383.4 . . . km
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In the attachment, the number at the bottom is the sum of the lengths of the two adjacent sides. The total length is then 125 +258.4 = 383.4 km.
Look at the picture.<span>
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Answer:
24 5/9
Step-by-step explanation:
convert into improper fraction
13/3*17/3=2211/9
then simplify to
24 5/9
Answer:
V = 40 1/2cm^3 OR 40.5cm^3
Step-by-step explanation:
A Prism is given it's name from the nature of it's base.
If it's a triangular base, it's call a TRIANGULAR PRISM.
If the base is of a rectangle shape, it's called a RECTANGULAR PRISM and so on!
From the question given, we'll treat the prism as a RECTANGULAR PRISM.
The volume of a prism is expressed as:
V = Bh
B means the BASE AREA
h means the height
Base Area for the prison is RECTANGLE.
Area of a rectangle (A) = lw
l means height
w means weight.
From the dimensions given in the question:
Length = 4 1/2cm
Width = 6cm
Height = 1 1/2cm
Let's start with the BASE AREA of the Rectangle
A = lw
A = 4 1/2cm * 6cm
A = 9/2cm * 6cm
A= 27cm^2
Volume = Base Area (A) * height (h)
V = Bh
V= 27cm ^2 * 1 1/2 cm
V = 27 * 3/2
V = 81 / 2
V = 40 1/2cm^3 OR 40.5cm^3