Can we add or subtract when we do equivalent ratios?<br> YES<br> or<br> NO

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. the resulting cross se

Oxana [17]

The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.

<h3>What is the formation of an Ellipse in a Cylinder?</h3>

When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.

In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.

Learn more about an ellipse here:

brainly.com/question/26679189

4 0

2 years ago

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Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

5 0

3 years ago

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th

Varvara68 [4.7K]

QUESTION A

The given points are

$(x_1,y_1)=(8,3)$ and $(x_2,y_2)=(9,8)$

The slope can be found using the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

We substitute the point to obtain;

$m=\frac{8-3}{9-8}$

This simplifies to

$m=\frac{5}{1} =5$

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.

3 0

3 years ago

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A piece of cardboard is 13 inches by 26 inches. A square is to be cut from each corner and the sides folded up to make an open-t

Vanyuwa [196]

Answer:

Hence the maximum possible volume will be the 778.53 c.c

Step-by-step explanation:

Given:

A rectangle with 13 x 26 dimensions

And corners are cut to form side squares.

To Find:

Maximum possible volume for box

Solution :

Consider a rectangle of 13 x 26 dimension with and side of square at corner be x.

(Refer the attachment)

Now,

Formulating the volume equation for the box

So corner square sides we are going to fold up which makes height of the box

and remaining part will be length and breadth

As shown in fig,

Length=26-x

breadth=13-x

And height will be x

$V(x)=x*(26-x)*(13-x)$

To get maximum volume differentiate the above equation,

$V(x)=x*(26*13-26*x-13*x+x^2)$

$V(x)=x^3-39x^2+338x\\$

$V'(x)=3x^2-78x+338$

$V''(x)=6x-78$

Now ,Solve the Quadratic Equation to get x values,

$3x^2-78x+338$ =0

x=[-b±(b^2-4ac)^1/2]/2a

x=[78±Sqrt[(78)^2-4*338*3)]/2*3

x=[78±Sqrt(3028)]/6

x=[78±55.027]/6

x=78+55.027/6 or x=78-55.027/6

x=22.17 or x=3.8288

Use these values in 6x-78 to know which value posses the max and min value for the function.

So when x=22.17

6x-78=6*22.17-78

=55.02>0 i.e function will have minimum value .

When x=3.8288

6*3.8288-78

=-55.0272<0 i.e. Function will have maximum value

Now, the function will defines the maximum volume

$V(x)=x^3-39x^2+338x$

$V(x)=3.8288^3-39*(3.82883)^2+338*3.8288$

$V(x)=56.13-571.73+1294.13$

$V(x)=778.53 C.C$

6 0

3 years ago

In a sample of digits(0,1,2,3,4,5,6,7,8,9,) what is the probability that a digit is 7 or greater

ad-work [718]

Answer:

$\frac{3}{10}$

Step-by-step explanation:

There are 10 numbers in total. Only three are 7 or greater: 7, 8, 9.

So the answer is $\frac{3}{10}$ .

8 0

4 years ago

Can we add or subtract when we do equivalent ratios? YES or NO