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3 years ago

Find C A. 12√2 B. 24 C. 12 D. 144

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

A. 12√2

This is a 45-45-90 triangle, in which the sides are

1, 1, √2, in that the hypotenuse is 12√2

12√2 is your answer

hope this helps

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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

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Answer:

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Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

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2 years ago

If y varies inversely as x and y = 9 when x = 4, find y when x = 6.

Rudiy27

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¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

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3 years ago

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Step-by-step explanation:

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3 years ago

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All have 4 sides. That’s what I would put. Good luck and don’t copy links they’re most likely viruses

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3 years ago

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when

Elza [17]

Answer: (13,-7)

Step-by-step explanation:

By using the formula $(x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

$(x_{m},y_{m})\\$ is the coordinates of the midpoint.

For finding the midpoint X variable do:

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For finding the midpoint Y variable do:

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Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

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y: -7

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2 years ago