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kap26 [50]
3 years ago
13

A wood board 156 centimeters long is cut into three parts .The two longer parts are the same length and are 15 centimeters longe

r than the shortest part.how long are the three parts?how do you do this?
Mathematics
1 answer:
n200080 [17]3 years ago
6 0
The everyone of two longer parts has 57 cm length and the shortest part has 42 cm length.
less 30cm from 156 and divide the remain amount of 126 into three parts. The answer will be 42 cm, then add 15,15 in longer parts.
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Pls answer correctly I’ll give you brainliest
Montano1993 [528]
The answer is 0, as there is no slope going up or down.
6 0
3 years ago
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
Yuri [45]

Let the curve C be the intersection of the cylinder  



16x^2+y^2=16



and the plane



x+y+z=1



The projection of C on to the x-y plane is the ellipse



16x^2+y^2=16



To see clearly that this is an ellipse, le us divide through by 16, to get



\frac{x^2}{1}+ \frac{y^2}{16}=1



or  



\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1,



We can write the following parametric equations,



x=cos(t), y=4sin(t)



for  



0\le t \le 2\pi



Since C lies on the plane,



x+y+z=1



it must satisfy its equation.



Let us make z the subject first,  



z=1-x-y



This implies that,



z=1-sin(t)-4cos(t)



We can now write the vector equation of C, to obtain,



r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))



The length of the curve of the intersection of the cylinder and the plane is now given by,



\int\limits^{2\pi}_0 {|r'(t)|} \, dt



But  



r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))



|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}



\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184



Therefore the length of the curve of the intersection  intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0
3 years ago
Please Help Due Soon!
hoa [83]

y = 1/3x +b

1 = 1/3(9) +b

1 = 3 +b

subtract 3 from both sides

-2 = b

<h2>y = 1/3x - 2</h2>
7 0
3 years ago
What does -4(-8x-8) equal?
slavikrds [6]

Answer:

Lets break it down

( -8 x -8 ) = 64, because a negative x negative always equals a positive

-4 x 64 = -256, because a negative x positive always equals a negative

Your answer is -256.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
8 0
3 years ago
Which number is closest to √18
Mars2501 [29]

Answer:

4.2 or 4

Step-by-step explanation:

√18 = 4.24264068712

or 4.2

or 4

8 0
3 years ago
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