water the tank will hold = 14.583 gallons
<h3>
What is cuboid ?</h3>
- A cuboid is a three-dimensional or solid shape.
- A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges.
- Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces.
- The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Given : A fish tank has a volume = 3360 cubic Inches.
The length of the tank is =14 inches
the width is = 12 inches.
The height of the tank is = 20 inches.
If one fluid ounce is = 1.8 cubic inches
Volume of tank = 14 * 12 * 20 = 3360 cubic inches
1.8 cubic inches = one fluid ounce
3360 cubic inches = 3360/1.8 fluid ounce
= 5600/3 fluid ounce
As we know,
1 gallons = 128 fluid ounces
water the tank will hold =( 5600/3 ) / 128
= 175 / 1 = 14.583 gallons
Therefore, water the tank will hold = 14.583 gallons
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Plug in the point
1 = 10 - 4(6)
1 = 10 - 24
1 = -14, false
Solution: B
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
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