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2 years ago

The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm

Mathematics

1 answer:

N76 [4]2 years ago

4 0

Answer:

look it up because found the correct answer there

Step-by-step explanation:

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Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution) that lies on the same plane. We know from calculus that:

 $V=\pi \int_{a}^{b}[f(x)]^{2}dx$

Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

 $x^{2}+y^{2}=r^{2}$

Isolationg y:

 $y= \sqrt{r^{2}-x^{2}}$ 

So,

 $f(x)=y=\sqrt{r^{2}-x^{2}}$ 

 $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$

 $V=\pi \int_{a}^{b}(r^{2}-x^{2})dx$ 

being -r and r the limits of this integral.

 $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$

Solving:

 $V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}$

Finally:

 $V=\pi(r^{3}-\frac{r^{3}}{3})-\pi(-r^{3}+\frac{r^{3}}{3})= \frac{4}{3} \pi r^{3}$

5 0

2 years ago

Read 2 more answers

A line contains the points (82, −96) and (87, −86).

Alik [6]

Answer:

<h2>The answer is 2</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

$m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\$

We have the final answer as

Hope this helps you

8 0

2 years ago

For what values of x is x2-36=5x true?

katrin2010 [14]

Answer:

x=-12

Step-by-step explanation:

x2-36=5x

add 36 to both sides

x2=5x+36

subtract 5x from both sides

x(-3)=36

divide both sides by -3

x=-12

substitute to prove right

(-12)2-36=5(-12)

-24-36=-60

-60=-60

3 0

1 year ago

Read 2 more answers

25 points ! Circle B is Internally tangent to circle A at point p. Likewise, circle C is internally tangent to circle D at point

Greeley [361]

All the given points are collinear, so we have ...
AB +BC = AC
BC +CS +SD = BD
The problem statement tells us
BD = AC
BC +CS +SD = AB +BC . . . . . substituting for BD and AC
BC +CS +2 = 4 +BC . . . . . . . . substituting given lengths
CS = 2 . . . . . . . . . . . . . . . . . . . subtract (2+BC)

CS is the radius of Circle C, so its diameter is twice that: 4. The radius of Circle D is the diameter of Circle C plus SD, so is 4 +2 = 6. The diameter of Circle D is twice that: 12.

The diameter of Circle C is 4.
The diameter of Circle D is 12.

3 0

2 years ago

2 (x + 1) - 3 cuando x = 6

katen-ka-za [31]

Answer:

Step-by-step explanation:

6+1=7

7x2=14

14-3=11

espero que esto ayude

3 0

1 year ago

Read 2 more answers