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2 years ago

Which segment is parallel to FE

Mathematics

1 answer:

mezya [45]2 years ago

3 0

Answer:

THE ANSWER IS A)

Step-by-step explanation:

because when you compare they never intersect and are basically the same lines, expect one is shorter but this still shows that they are parallel. :)

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Which are whole numbers ? 0,4,-2,2/3,-1.8,16,3.2,-5/4

Rasek [7]

Answer:

0,4,16

Step-by-step explanation:

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2 years ago

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(13 less than a) How would this be solved in algebraic expression

Delicious77 [7]

Answer:

a - 13

Step-by-step explanation:

a- 13 because you are taking 13 away from a

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2 years ago

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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

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

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

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

2 years ago

One rectangle has a base of 12 inches and an altitude of 6 inches. The other has a base of 10 inches and an altitude of 5 inches

guajiro [1.7K]

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

Step-by-step explanation:

For first rectangle, it was given that

Base 1 = 12 inches

Altitude 1 = 6 inches

For the second rectangle, it was given that

Base 2 = 10 inches

Altitude 2 = 5 inches

Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.

Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

7 0

2 years ago

Haylee can run 16 laps in 8 minutes. If she continues at this rate, how many minutes will it take her to run 30 laps?

KonstantinChe [14]

Step-by-step explanation:

1minute=2lap

30lap=30/2

=15minutes

4 0

2 years ago