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3 years ago

What’s the circumference of this shape?xx

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

The hypotenuse of the triangle would be the diameter of the semi circle.

Using the Pythagorean theorem you can find that.

8^2 + 6^2 = x^2

64 +36 = x^2

100 = x^2

x = √100

x = 10

The diameter is 10, now find the circumference.

Circumference = diameter x PI = 10 x 3.14 = 31.4

Since it is a semi circle, the circumference would be 1/2 of that.

31.4 / 2 = 15.7

The perimeter would be 8 + 6 + 15.7 = 29.7

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bcos%2030%7D%7B1%2Bsin30%7D%3Dtg30" id="TexFormula1" title="\frac{cos 30}{1+sin30}=tg

Kay [80]

$\cos 30=\frac{\sqrt{3}}{2}$

$\sin 30 = \frac{1}{2}$

$\tan 30=\frac{1}{\sqrt{3}}$

Now we insert that into the equation:

$\dfrac{\frac{\sqrt{3}}{2}}{1+\frac{1}{2}} = \frac{1}{\sqrt{3}}$

$\dfrac{\frac{\sqrt{3}}{2}}{\frac{3}{2}} = \frac{1}{\sqrt{3}}$

$\frac{\sqrt{3}}{3} = \frac{1}{\sqrt{3}}$

$\frac{\sqrt{3}}{3} = \frac{1}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}\\$

$\frac{\sqrt{3}}{3} = \frac{\sqrt{3}}{\sqrt{3}\cdot \sqrt{3}}\\$

$\frac{\sqrt{3}}{3} = \frac{\sqrt{3}}{3}$

6 0

4 years ago

Which of the following represents the factorization of the trinomial below?<br>x2 - 6x +9

valentinak56 [21]

For this case we must factor the following expression:

$x ^ 2-6x + 9$

We must find two numbers that, when multiplied, result in 9 and when added, result in -6.

These numbers are -3 and -3.

$-3-3 = -6\\-3 * -3 = + 9$

Then, the factored expression is of the form:

$(x-3) (x-3) = (x-3) ^ 2$

Thus, the correct option is option C.

ANswer:

Option C

3 0

3 years ago

A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leak

Paraphin [41]

Answer:

64 weeks, I hope it helps :)

5 0

3 years ago

Who can I find angle E?

melomori [17]

Answer:

180-56=124 ؟ not sure tho hope it helps

Step-by-step explanation:

8 0

4 years ago

What is the answer? Please help! As quick as you can!

Vikentia [17]

Answer:

x=7 is the only answer

5 0

3 years ago

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