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shutvik [7]
3 years ago
15

Given that the triangles shown below are simiar, what is the value of x?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

C) 14

Step-by-step explanation:

Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28

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Oil is leaking from a tanker at the rate of R(t) = 2000e^(-0.2t) gallons per hour where t is measured in hours. How much oil lea
Virty [35]
We first integrate the expression to find the oil leaked since we have an expression for leakage rate.
Integrating:
O(t) = -10000exp(-0.2t); substituting t = 10
O(t) = -1,353 gallons
1,353 gallons of oil leak out in the first 10 seconds.
4 0
3 years ago
Simply. If the solution is not a real number enter not a real number rotate picture answer all 3 please
yuradex [85]

Answer:

13. \frac{\sqrt[5]{x^4} }{x}.

14. v = \pm3\sqrt{5}

15. 2.

Step-by-step explanation:

13. x^{1/5} * x^{-2/5}

= x^{1/5 + (-2/5)}

= x^{1/5 - 2/5}

= x^{-1/5}

= \frac{1}{x^{1/5}}

= \frac{x^{4/5}}{x^{1/5 + 4/5}}

= \frac{x^{4/5}}{x}

= \frac{\sqrt[5]{x^4} }{x}.

14. v^2 - 45 = 0

v^2 = 45

\sqrt{v^2} = \pm\sqrt{45}

\sqrt{v^2} = \pm\sqrt{3^2 * 5}

v = \pm3\sqrt{5}.

15. \sqrt[3]{2} * \sqrt[3]{4}

= \sqrt[3]{2 * 4}

= \sqrt[3]{2 * 2 * 2}

= \sqrt[3]{2 ^3}

= 2.

Hope this helps!

7 0
3 years ago
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is at least 1 white r
Darina [25.2K]

By using the second condition, we conclude that there are 23 white roses in the tray.

<h3>How many white roses are in the tray?</h3>

First, we know that there are a total of 50 roses in the tray, and we have the conditions:

  • <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
  • <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>

The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.

Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:

50 - 27 = 23 white roses.

If you want to learn more about counting.

brainly.com/question/11732255

#SPJ1

6 0
2 years ago
Find the value of x in each case:
kotykmax [81]

9514 1404 393

Answer:

  x = 14°

Step-by-step explanation:

The triangle's interior angle at C is the supplement of the exterior angle marked 124°.

  C = 180° -124° = 56°

The exterior angle at B is the sum of the remote interior angles:

  6x = 56° +2x

  4x = 56° . . . . . . subtract 2x

  x = 14° . . . . . . . . divide by 4

6 0
3 years ago
NEED HELP FAST 15 POINTS
Flauer [41]

Answer:Can somebody please help

Step-by-step explanation:

6 0
3 years ago
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