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2 years ago

A cone has same volume with a cylinder which is 5 cm high. If they have same area of the

Mathematics

1 answer:

NISA [10]2 years ago

3 0

Answer:

Step-by-step explanation:

Remember, the formulas for the lateral surface area of a pyramid is 12pl and the total surface area is 12pl+B .

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder.

So, the formula for the lateral surface area of a right cone is L.S.A=πrl , where l is the slant height of the cone.

Find the lateral surface area of a right cone if the radius is 4 cm and the slant height is 5 cm.

L.S.A=π(4)(5)=20π≈62.82 cm2

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13. Given that y varies as x^2 and that y = 36 when x=3, find:

saw5 [17]

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

$y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4$

3 0

1 year ago

What’s the slope ? I don’t understand

jarptica [38.1K]

Answer: Slope is rise over run, or y over x. So for the first one the slope is 60/30 or 2. If you wanna find the slope between two points you would do y2-y1 over x2-x1. For example if we use the first two points which are 60/30 and 50/40, it would be 50-60 over 40-30, which gives you -10/10. That can be simplified down to -1/1. That means that you have went down one and right one on your graph. You can apply these rules to many basic slope problems. I hope this helps! :)

6 0

2 years ago

Am I correct? (Perfect Square Form)

natka813 [3]

Answer:

$(x -3 )^2 = 10$

Step-by-step explanation:

Given

$x^2 - 6x - 1 = 0$

Required: Express as a perfect square

$x^2 - 6x - 1 = 0$

Add 10 to both sides

$x^2 - 6x - 1 +10= 0+10$

$x^2 - 6x +9= 10$

Expand

$x^2 - 3x - 3x+9= 10$

Factorize:

$x(x - 3) - 3(x - 3)= 10$

Factorize:

$(x -3 )(x - 3) = 10$

$(x -3 )^2 = 10$

8 0

3 years ago

ANSWER ASAP

Dmitrij [34]

Answer:

The correct answer is D

Step-by-step explanation:

hope it helps :)

6 0

2 years ago

Solve. High school pre-cal

Oliga [24]

Answer:

<em>Answer: Quadrant 4</em>

Step-by-step explanation:

<u>Graph of Functions </u>

Let's analyze the function

$\displaystyle y=\frac{x^2+3x}{x+1}$

To better understand the following analysis, we'll factor y

$\displaystyle y=\frac{x(x+3)}{x+1}$

For y to have points in the first quadrant, at least one positive value of x must produce one positive value of y. It's evident that any x greater than 0 will do. For example, x=1 will make y to be positive in the numerator and in the denominator, so it's positive

For y to have points in the second quadrant, at least one negative value of x must produce one positive value of y. We need two of the factors that are negative. It can be seen that x=-2 will make y as positive, going through the second quadrant.

For the third quadrant, we have to find at least one value of x who produces a negative value of y. We only need to pick a value of x that makes one or all the factors be negative. For example, x=-4 produces a negative value of y, so it goes through the third quadrant

Finally, the fourth quadrant is never reached by any branch because no positive value of x can produce a negative value of y.

Answer: Quadrant 4

8 0

3 years ago