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iris [78.8K]
3 years ago
14

Can someone give me the correct answer please thanks

Mathematics
2 answers:
Temka [501]3 years ago
6 0

Answer:

4

Step-by-step explanation:

here's your solution

=> perpendicular^2 = hypotenuse^2 - base^2

=> p^2 = 5^2 - 3^2

=> p^2 = 25 - 9

=> p^2 = 16

=> p = √16

=> p = 4

hope it helps

ra1l [238]3 years ago
3 0

Answer:

<h2><em><u>4</u></em></h2>

Step-by-step explanation:

<em><u>Let</u></em>,

The third side of the triangle be = x

<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>Pythagoras</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u>, </u></em>

{5}^{2}  -  {3}^{2}  =  {x}^{2}

=  >  {x}^{2}  = 25 - 9

=  >  {x}^{2}  = 16

=  > x =  \sqrt{16}

=> x = 4

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>third</u></em><em><u> </u></em><em><u>side</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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Step-by-step explanation:

At least $62.50 per member

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all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color
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77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

6 0
3 years ago
Question Help
klasskru [66]

Answer:

16 times

Step-by-step explanation:

\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

<h3><u>Proof</u></h3>

Given:

  • radius = 6
  • height = 9

Substituting the given values into the formula:

\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units

If the radius is quadrupled:

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  • height = 9

Substituting the new given values into the formula:

\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16

So the volume of the larger cone is <u>16 times greater</u> than the volume of the smaller cone.

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