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2 years ago

Volumeof Cone with a height of 9 cm and radius of 3 cm

Mathematics

1 answer:

Naily [24]2 years ago

5 0

Answer:

i think this is the answer not 100 percentage sure V≈84.82cm³

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Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)

Zigmanuir [339]

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

$3x + 2y = 12$

$2y = - 3x + 12$

$y = - \frac{3}{2}x + 6$

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

$m1 \times m2 = - 1$

$- \frac{3}{2} \times m2 = - 1$

$m2 = - 1 \div - \frac{3}{2}$

$m2 = \frac{2}{3}$

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

$y = \frac{2}{3}x + b$

$let \: x = 1,y = 2$

$2 = \frac{2}{3} (1) + b$

$b = 2 - \frac{2}{3}$

$b = \frac{4}{3}$

$y = \frac{2}{3} x + \frac{4}{3}$

5 0

3 years ago

I need help finding my variable

Oksi-84 [34.3K]

The length is two times its width, and the perimeter equals 24.

All the sides added up equal 24.

4 and 8 could be the width and the length of the rectangle.

4*2= 8 and

4+4+8+8= 24

width= 4 length= 8

I hope this helps!
~kaikers

8 0

3 years ago

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If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The

stepan [7]

Answer:

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

$A = - \frac{ 1}{B}$

$B = - \frac{1}{A}$

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0

2 years ago

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louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20 = 400 m^2.

Proof:

Let the sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter 2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A we find the derivative and equate it to 0:

derivative A' = 40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0

3 years ago

23,234,008 is what % of 41,892,128

zhuklara [117]

Answer:

The answer would round to 55%

Step-by-step explanation:

3 0

3 years ago

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