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Drupady [299]
3 years ago
8

A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express

the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3).
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Total depth of the bottom of the plate is 4 + 1 = 5

Force = limit(5,1) 62.5 *7* x * dx

= 437.5. Lim(5,1) x*dx

= 437.5(x^2/2)^5 , 1

= 437.5 x (5^2/2 - 1/2)

= 437.5 x 12

= 5,250 pounds

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Bonita has a standard of 2 hours of labor per unit, at $12 per hour. In producing 2600 units, Bonita used 5050 hours of labor at
Eduardwww [97]

Answer:

1800

Step-by-step explanation:

Labor quantity variance= Actual quantity ×standard price - standard quantity ×standard price

Standard quantity=2×2600=5200

Labor quantity variance

5050×12-5200×12=1800

3 0
3 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
alexdok [17]
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43

Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A

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Hope this helps =)
7 0
3 years ago
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Xelga [282]
Translate down and reflect over a vertical line! :)

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8 0
3 years ago
What is the value of m in the equation 1/2m-3/4n when n = 8?
kirill [66]

Answer:

-\frac{1}{32}

Step-by-step explanation:

n = 8\\1/2(8) - 3/4(8) = 1/16-3/32

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

\frac{1}{16} *\frac{2}{2} =\frac{2}{32}

Then, subtract

\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}

3 0
3 years ago
1. A solid is 4 cm tall, 5 cm wide and 3 cm thick. It has a mass of 120 g. What is its density?
masha68 [24]
V = (4cm)(5cm)(3cm) = 60 cm³
M = 120g

<u><em>Density = M/V = (120g)/(60cm³) = 2 g/cm³</em></u>
8 0
3 years ago
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