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Tju [1.3M]
2 years ago
7

What is the length of side s of the square shown below?

Mathematics
1 answer:
zaharov [31]2 years ago
8 0

Answer:

A.\: 4 \sqrt{2}

Step-by-step explanation:

\sin \: 45 \degree =  \frac{s}{8}  \\  \\  \implies \:  \frac{1}{ \sqrt{2} }  = \frac{s}{8}  \\  \\  \implies \: s =  \frac{8}{ \sqrt{2} }  =  \frac{8 \sqrt{2}}{2}  \\  \\  \implies \:  \huge \: s = 4 \sqrt{2}

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The answer is 1:11. After it being simplified from 6:66. Hope this helps.
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3 years ago
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Para embalar una caja se emplea 4,2 m de cinta adhesiva. ?Cuántas cajas se podrán embalar con tres rollos que tienen 3 hm, 7 dam
kompoz [17]

For this case, we perform the conversions:

First roll:

1 \ Hectometer --------> 100 \ meters\\3 \ Hectometer --------> x

x = \frac {3 * 100} {1}\\x = 300 \ meters.

We make a rule of three to determine the number of "c" boxes that can be packed with 300 meters of adhesive tape.

1 -----------> 4.2

c -----------> 300

c = \frac {300 * 1} {4.2}\\c = 71.42857143\\c = 71

You can pack 71 boxes.

Second roll:

1 \ Decametro --------> 10 \ meters\\7 \ Decameter --------> x\\x = \frac {7 * 10} {1}\\x = 70 \ meters.

We make a rule of three to determine the number of "c" boxes that can be packed with 70 meters of adhesive tape.

1 -----------> 4.2

c -----------> 70

c = \frac {70 * 1} {4.2}\\c = 16.66666667\\c = 16

You can pack 16 boxes.

Third roll:

1 -----------> 4.2

c -----------> 50

c = \frac {50 * 1} {4.2}\\c = 11.9047619\\c = 11

You can pack 11 boxes.

Thus, in total you can pack11 + 16 + 71 = 98 \ boxes

Answer:

98 boxes

4 0
3 years ago
Slope = 1/5 y-intercept =-5
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Answer:

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What is the greatest common factor for 24 and 16
alina1380 [7]
8 is the answer because it is the biggest answer that can fit into both 16 and 24.

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Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40​
kifflom [539]

Answer:

Step-by-step explanation:

v=√u*u- 2qs

  1. \sqrt{20} x 20 - 2q40 = 8
  2. 2\sqrt{5} x 20 - 2q40 = 8
  3. 40\sqrt{5} - 2q40 = 8
  4. - 2q40 = 8 - 40\sqrt{5}
  5. -80q = 8 - 40\sqrt{5}
  6. q = (8-40\sqrt{5} ) / -80 = \frac{-1 + 5\sqrt{5} }{10} = 1.018
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