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2 years ago

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS

Mathematics

1 answer:

erik [133]2 years ago

4 0

$- 2 \frac{1}{2} - ( - 1 \frac{3}{4} )$

$- \frac{5}{2} - ( - \frac{7}{4} )$

$- \frac{10}{4} - ( - \frac{7}{4} )$

$- \frac{3}{4}$

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What is the first integer to the right of 0 on the number line

Nesterboy [21]

Answer:

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.

Cheers.

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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

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

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

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

Divide 25/1658 To find the quotient, start by dividing _<br> into _.

ololo11 [35]

Answer:

To find the quotient, you must start by dividing 25 into 1,658.

Step-by-step explanation:

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2 years ago

Find x using the picture below.

Katen [24]

Answer:

x ≈ 14.5

Step-by-step explanation:

A = x²√(25+10√5)/4

A = 1.72a²

x² = A/1.72

= 363.27/1.72

≈ 211

x = √211

≈ 14.5

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2 years ago

4x +3 -x - 2<br><br><br> Please help me I’m stuck

torisob [31]

Answer:4+1=5

Step-by-step explanation:

The reason the answer is 4+1 is because you have to subtract x from 4x causing it to be just 4 and then y I have to subtract 2 from 3 leaving one then you would have to add 4+1 which equals 5

8 0

2 years ago

Read 2 more answers

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS​

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS