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cupoosta [38]
3 years ago
15

A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en

tering your answers in metres and rounding your answers to two decimal places.
Mathematics
1 answer:
elena55 [62]3 years ago
6 0

9514 1404 393

Answer:

  1.67 m, 8.33 m

Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

  1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

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Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

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Step-by-step explanation: The vector equation is a line of the form:

r = r_{0} + t.v

where

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v is the vector;

For point (7,4,5):

r_{0} = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>

The parametric equations of the line are of the form:

x = x_{0} + at

y = y_{0} + bt

z = z_{0} + ct

So, the parametric equations are:

<em><u>x = 7 + 3t</u></em>

<em><u>y = 4 + 2t</u></em>

<em><u>z = 5 - 5t</u></em>

4 0
3 years ago
eive 19. The school cafeteria uses 48 cans of peaches per day. How many cans of peaches will they use in 19 days? help​
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Answer:

912

Step-by-step explanation:

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48 x 19= 912

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