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fredd [130]
3 years ago
6

What is the surface area of the rectangular prism? lenth 16 with 4 and hight 4

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

272

Step-by-step explanation:

The formula is 2(LxW) + 2(LxH) + 2(WxH)

2(16 x 4) = 128

2(16 x 4) = 128

2(4 x 4) = 16

16 + 128 + 128 = 272

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Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogeth
disa [49]

Answer:

3/5

Step-by-step explanation:

1/5 + 2/5 = 3/5

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1. Popeye is lifting Olive Oyl off the ground by pulling her upward with a force of 108.1 N. She is pretty thin so she only weig
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Answer:

1 m/s2

Step-by-step explanation:

Olive Oyl's weight = 10 × 9.81 = 98.1 N

This weight is a force acting downward because it is due to gravity.

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This force causes an acceleration, a, on the mass, m, of Popeye.

R = ma

a = R/m = 10 N/10 kg = 1 m/s2

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3 years ago
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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?
Oksanka [162]

Answer:

B) 22

Step-by-step explanation:

AC = BD

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simplify:

subtract 6x and 2 from both sides:

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then:

AC = 6(2)+10 = 22

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2 years ago
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