If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

Answer:

$\sqrt{19}$

Step-by-step explanation:

We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.

3^2 + 10 = C^2

19 = C^2

C = $\sqrt{19}$

You might be interested in

On an assembly line, 1/5 of an item is made in 3/4 of an hour. What is the unit rate?

choli [55]

I don’t know if I’m wrong but Yeah I Think It’s C

3 0

3 years ago

A fly starts out 2 meters from a lightbulb, flies closer to the light, then farther away (2 meters again). At this point the fly

Lorico [155]

Answer

f(t)=2cos(t)

Step-by-step explanation:

let's describe the situation first, a fly is starting 2 meters from the bulb and flies towards the bulb and when it is really close to the bulb, it flies 2 meters further away from the bulb this means that it reaches d = 0m (distance from the bulb) and then flies further 2 meters so d = -2m.

it this point the fly returns back and touches the bulb and flies away (ends it's oscillatory motion ). d = 0 again and story ends here.

here if we want to model this problem with time function , the cosine function seems the best fit with amplitude of 2, so the answer is f(t) = 2cos(t).

Now you can ask why cosine function? well if you look at the graph or the plot of the function it perfectly captures the physical situation going on here in this problem.

Domain is 0 to 2 $\pi$ because it is one complete cycle and the range is -2 to +2.