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san4es73 [151]
3 years ago
9

8. Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
 x = 9 / tan(30)
x = 9 sqrt(3)
Rudik [331]3 years ago
4 0

Here in the figure, a right angled triangle given.

One angle of other two angles given 30^o.

The hypotenuse of an right angled triangle is always opposite to the right angle. So here, the side of length 18 is hypotenuse..

The side of length 9 is opposite to the ange given 30^o.

So here two sides given and we need to find the third side.

We can get the third side by using either a trigonometric function or by using Pythagoras theorem.

Let's use Pythagoras theorem here.

We know the theorem is if a and b are other two sides and c is the hypotenuse then, c^2 = a^2+b^2

Here, c = 18, and we can take b = 9 and a is x here. By substituting the values in the formula we will get,

18^2 = x^2 + 9^2

324 = x^2+81

Now to get x, we will move 81 to the left side by subtracting it from both sides. We will get,

324 - 81 = x^2+81-81

324-81 = x^2

243 = x^2

x^2 = 243

We acn get x by taking square root to both sides. We will get,

\sqrt{x^2} = \sqrt{243}

x = \sqrt{243}

We have to simplify 243 now. We can write 243 as a multiplication of 81 and 3.

x = \sqrt{(81)(3)}

x = (\sqrt{81})(\sqrt{3})

x = 9\sqrt{3}

So we have got the required answer here. The side x = 9\sqrt{3}

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notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

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Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

8 0
3 years ago
6/15 divided by 1/7
mylen [45]
Question-
6/15 divided by 1/7

Answer-
Find the reciprocal of the divisor
Reciprocal of 1/7: 7/1Now, multiply it with the dividend
So, 6/15 ÷ 1/7 = 6/15 × 7/1= (6 × 7)/(15 × 1) = 42/15After reducing the fraction, the answer is 14/5In mixed form: 2 4/5
6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Igoryamba

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

5 0
3 years ago
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Usimov [2.4K]

Answer:6 pounds you need to divide 3 by .5 and you will get 5

Step-by-step explanation:

5 0
3 years ago
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Morgarella [4.7K]

Answer:

false

Step-by-step explanation:

860 divided by 2 is 430 NOT 480

5 0
3 years ago
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