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3 years ago

How do you find the distance around a triangle that had sides measuring 2-1/8 feet, 3-1/2 feet, and 2-1/2 feet?

Mathematics

1 answer:

tatuchka [14]3 years ago

6 0

1. Turn the fractions in to decimals
2.Add them up

2.13 + 3.5 + 2.5 = 8.13ft

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Proof that :<br><img src="https://tex.z-dn.net/?f=%20%7Bsin%7D%5E%7B2%7D%20%5Ctheta%20%2B%20%20%7Bcos%7D%5E%7B2%7D%20%5C%3A%5Cth

Arisa [49]

Answer:

Solution given:

Right angled triangle ABC is drawn where <C= $\theta$

we know that

$\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}$

$\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC}$

Now

left hand side

$\displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta$

Substituting value

$(\frac{AB}{AC})²+(\frac{BC}{AC})²$

distributing power

$\frac{AB²}{AC²}+\frac{BC²}{AC²}$

Taking L.C.M

$\displaystyle \frac{AB²+BC²}{AC²}$ ....[I]

In ∆ABC By using Pythagoras law we get

$\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}$

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

$\displaystyle \frac{AC²}{AC²}$

Right hand side

<h3><u>proved</u></h3>

8 0

3 years ago

Read 2 more answers

You are finding the total distance of a road trip by measuring the distance on a map. On the map the distance between 3 towns me

defon

Answer:

The answer would be 7 and 13/16

Step-by-step explanation:

Hope this helps.

8 0

3 years ago

Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?

Fiesta28 [93]

Jenna is 18, her sister is 14
18+14=32

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3 years ago

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An object oscillates as it moves along the

Sauron [17]

Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.

The equation of motion is given by:

$x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}$

The <em>displacement </em><u>between t= 0 and t = 1 second</u> is given by:

$d = x(1) - x(0)$

Hence:

$x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2$

$x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2$

Then:

$d = x(1) - x(0) = -2 + 2 = 0$

The displacement is of 0 m.

You can learn more about displacement at brainly.com/question/248054

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3 years ago

4(x+2)=36 please help

MaRussiya [10]

To solve it you have to distribute (multiply) the 4 to the x and the 2.Then you would have to subtract 8 by both sides and which it would cancel on the left side, then after you divide 4 by both sides and then u get you answer.

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3 years ago