(a) Find the value of x.
Sum of interior in a triangle = 180
So m<BAC + m<ABC + m<BCA = 180
4x + 10 + 5x + 18 + 3x - 16 = 180
12x + 12 = 180
12x = 168
x = 14
(b) Find the measure of <3.
<3 + <BCA = 180
<BCA = 3x - 16 = 3(14) - 16 = 26°
So
<3 = 180 - <BCA
<3 = 180 - 26
<3 = 154°
12 / 5, that's how, it's 2.4.
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It's not natural because it is not positive.
It is a whole integer because there is no decimal part.
It's rational because it can be written as a ratio.
It is not irrational because it is rational.
The length of the similar tube will be 5041 cm.
<h3>What is the area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
- A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?
- Tube made from a similar piece of card with an area of 500square centimetres.
The radius of the first tube will be calculated as:-
1200 = 2πr ( 13 )
r = 12 / 2π x 113
r = 14.7 cm
Now the length of the second tube will be:-
500 = 2π x 14.7 x L
L = 500 / 2π x 14.7
L = 5.41 cm.
Therefore the length of a similar tube will be 5041 cm.
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