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2 years ago

HELP MEEEE PLZ. i need to Find the surface area and volume

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

6 0

Answer:

A ≈ 494.80 $mm^{2}$

V = 827.02 $mm^{3}$

Step-by-step explanation:

height ( h ) = 13 mm

radius ( r ) = $\frac{9mm}{2}$ = 4.5 mm

Surface area = $2\pi rh + 2\pi r$

= 2π(4.5)(13) + 2π(4.5)

≈ 494.80 $mm^{2}$

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

= $\pi (4.5)^{2} (13)$

= 827.02 $mm^{3}$

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Show that 2 - sqrt(2) is irrational

babunello [35]

Answer:

This proof can be done by contradiction.

Let us assume that 2 - √2 is rational number.

So, by the definition of rational number, we can write it as

$2 -\sqrt{2} = \dfrac{a}{b}$

where a & b are any integer.

⇒ $\sqrt{2} = 2 - \dfrac{a}{b}$

Since, a and b are integers $2 - \dfrac{a}{b}$ is also rational.

and therefore √2 is rational number.

This contradicts the fact that √2 is irrational number.

Hence our assumption that 2 - √2 is rational number is false.

Therefore, 2 - √2 is irrational number.

3 0

2 years ago

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

Explanation:

Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = $\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}$

$\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in$

Therefore, the length of the shadow is 124.7 in

5 0

2 years ago

In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0

1 year ago

Ursula scored 8 points in the second half of her basketball game. In total, she scored 32 points during the entire game. Click o

zhuklara [117]

Answer:

Step-by-step explanation:

4 0

2 years ago

Which graph shows the solution to this system of inequalities? y>-1/3x+1 y>2x-3

Mademuasel [1]

Given:

The system of inequalities is:

$y>-\dfrac{1}{3}x+1$

$y>2x-3$

To find:

The graph of the given system of inequalities.

Solution:

We have,

$y>-\dfrac{1}{3}x+1$

$y>2x-3$

The related equations are:

$y=-\dfrac{1}{3}x+1$

$y=2x-3$

Table of values for the given equations is:

$x$ $y=-\dfrac{1}{3}x+1$ $y=2x-3$

0 1 -3

3 0 3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of $y=-\dfrac{1}{3}x+1$ .

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of $y=2x-3$ .

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

6 0

2 years ago