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Monica [59]
3 years ago
15

Calculate the lateral area of a rectangular prism with a base with measures of 5.6 in. and 4.3 in. and a height of 10 in.

Mathematics
1 answer:
juin [17]3 years ago
7 0
One formula for the lateral area is
  A = 2(LW + H(L+W))

Filling in the given numbers, you have ...
  A = 2((5.6 in)·(4.3 in) + (10 in)·(5.6 in + 4.3 in))
  = 2(24.08 in² + 99 in²)
  = 246.16 in²
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Given equation : n(17+x)=34x−r.

We need to solve it for x.

Distributing n over (17+x) on left side, we get

17n + nx  = 34x - r.

Adding r on both sides, we get

17n+r + nx  = 34x - r+r.

17n + r + nx = 34x.

Subtracting nx from both sides, we get

17n + r + nx-nx = 34x-nx

17n + r = 34x -nx.

Factoring out gcf x on right side, we get

17x + r = x(34-n).

Dividing both sides by (34-n), we get

\frac{(17x + r)}{(34-n)} = \frac{x(34-n)}{(34-n)}

\frac{(17x + r)}{(34-n)} = x

<h3>Therefore, final answer is x=\frac{(17x + r)}{(34-n)}.</h3>
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Lola gets two 20-minute breaks at work each day. She works 5 days a week. How much time does she spend on break each week?
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Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

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This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

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