Answer
s = 11
Step-by-step explanation:
Find the value of S:
57 + s = 68
Substract 57 from both sides of the equation
s = 68 - 57
s = 11
Answer:
Cylinder
Step-by-step explanation:
The object has two parallel, circular, flat ends and straight sides, so it is a cylinder.
Cubes, rectangles and prisms have only flat sides.
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
Answer:
Below.
Step-by-step explanation:
The dimensions will be 10 * 12.
(each new dimension will be 4 times the original)
The new perimeter will be 4 times the original.
The new area will be 16 times the original ( 4 * 4 = 16).
The new perimeter will be 44 cm.
Answer:
5x^2 + xy + 20
Step-by-step explanation:
Begin with 5x^2+3xy+12, Subtracting 2xy yields 5x^2 + xy + 12. Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or 5x^2 + xy + 20
