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3 years ago

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Mathematics

1 answer:

ExtremeBDS [4]3 years ago

4 0

Answer:

4) 6m, 8m, 10m

Step-by-step explanation:

Use Pythagorean to determine the answer

6² + 8² = 10²
36 + 64 = 100
100 = 100,
yes

8m + 16m = 24m, hence no triangle formed as per triangle inequality theorem

20² + 21² = 28²
400 + 441 = 784
841 ≠ 784,
no

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3 years ago

A town built a scale model of the ancient construction of Stonehenge based on the original construction

polet [3.4K]

Answer:

27.22 m

Step-by-step explanation:

The scale factor is:

9/5= 1.8

Height of the model according to scale factor:

49/1.8 = 27.22 m

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3 years ago

The speed of a stream is 4 mph. A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream. what is

sasho [114]

The speed of the stream = 4 mph.

Let us assume speed of the boat in still water = x mph.

Total speed upstream = (x-4) mph.

Total speed downstream = (x+4) mph.

We know, time, speed and distance relation.

Time = Distance / Speed.

Total time taken upstream = 8 / (x-4)

Total time taken downstream = 16/(x+4).

Time taken upstream = time taken downstream.

Therefore,

8 / (x-4) = 16/(x+4).

On cross multiplication, we get

16(x-4) = 8(x+4).

16x - 64 = 8x +32.

Adding 64 on both sides, we get

16x - 64+64 = 8x +32+64

16x = 8x + 96.

Subtracting 8x from both sides, we get

16x-8x = 8x-8x + 96.

8x = 96.

Dividing both sides by 8, we get

x = 12.

<h3>Therefore, 12 mph is the speed of the boat in still water.</h3>

5 0

3 years ago

Read 2 more answers

a container of 3 metal beans weighed one fifth of a ton. if every beam weighed the same amount, how heavy was each ?

Sati [7]

We know all three weight 1/5 of a ton, how much is it for one?

well, since there are 3 of them, one is just 1/3 of the whole 1/5 of a ton, how much is 1/3 of 1/5? well, is just its product,

$\bf \cfrac{1}{3}\cdot \cfrac{1}{5}\implies \cfrac{1}{15}\textit{ of a ton}$

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3 years ago

write equation of line which has a slope of 5 and passes through (-7,-5) write answer in slope intercept form

Sauron [17]

Answer:

Y=5X-7.5

Step-by-step explanation:

6 0

3 years ago