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3 years ago

Graph this compound inequality: I < 8.3 or 2 > 9.8

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

Here is a picture of the answer. I hope this helps!

Step-by-step explanation:

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Find the volume of the figure in question #2 if the figure was half filled

telo118 [61]

The volume is 12x20x10 then divide by 2

200x12=2400

2400/2= 1200

4 0

3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago

Determine the type of transformation.

MAVERICK [17]

The answer is: rotation

4 0

3 years ago

On Wednesday, Mirella hands out flyers to 9 people. On Thursday, each person copies the flyer and hands them out to 9 other peop

3241004551 [841]

Answer:

9 3 (the 9 and 3 are seprete0

Step-by-step explanation:

6 0

2 years ago

“write an inequality to represent the graph.”

zhuklara [117]

Answer:

The inequality for the given graph is $y>\frac{2}{3}x-1$ .

Step-by-step explanation:

From the given graph it noticed that the line passing through (0,-1) and (3,1).

The equation of line passing through two points is defined as

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y+1=\frac{1+1}{3-0}(x-0)$

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

$y=\frac{2}{3}x-1$

Therefore the related equation is $y=\frac{2}{3}x-1$ .

The point (0,0) lies in the shaded region, therefore the point (0,0) is the solution of required inequality.

Put (0,0) in the related equation.

$0=\frac{2}{3}(0)-1$

$0=-1$

Since 0 is greater than -1, therefore the sign of inequality must be >. The related line is a dotted line, therefore we cannot use $\geq$ .

Therefore the required inequality is

$y>\frac{2}{3}x-1$

8 0

3 years ago