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3 years ago

Can someone give me the correct answer please thanks

Mathematics

2 answers:

Temka [501]3 years ago

6 0

Answer:

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:

Step-by-step explanation:

Let,

The third side of the triangle be = x

According to Pythagoras Theorem, 

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

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

$= > {x}^{2} = 16$

$= > x = \sqrt{16}$

=> x = 4

Hence,

third side of the triangle is 4 (Ans)

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3 years ago

all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color

Oksi-84 [34.3K]

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.

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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 16 times greater than the smaller cone.

<h3>Proof</h3>

Given: