Volume of a Rectangular Prism = Length * Width * Height
Step 1:
Double your dimensions
5 cm x 2 = 10 cm
3 cm x 2 = 6 cm
4 cm x 2 = 8 cm
Step 2:
Multiply them together
Volume = 10 x 6 x 8
Volume = 60 * 8
Volume = 480 cm^3
The area of a circular sector of central angle α (in radians) in a circle of radius r is given by
... A = (1/2)r²×(α - sin(α))
Your area is expected to be computed as the sum of the areas of a sector with angle π/3 in a circle of radius 8 and a sector with angle π/2 in a circle of radius 6.
... A = (1/2)8²×(π/3 - sin(π/3)) + (1/2)6²×(π/2 - sin(π/2))
... A ≈ 16.07
Radii are in inches so the units of area will be in². The appropriate choice is
... 16.10 in²
_____
It should be noted that the geometry described is impossible. Chord CD of circle A will have length 6√2 ≈ 8.4853 inches. Chord CD of circle B will have length 8 inches. They cannot both be the same chord.
Answer:
The measure of the third angle is 35°.
Step-by-step explanation:
The sum of the three angles of a triangle is always 180°.
Let the measure of the third angle be x.
∴ 61° + 84° + x = 180°
145 + x =180°
x = 180 - 145
x = 35°
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ANSWER
EXPLANATION
The given polynomials are:
and
We want to subtract these two polynomials.
Expand the right hand side to obtain:
Group the similar terms:
Combine the similar terms to get:
