All categories

4 years ago

Suppose the diameter of a circle is 4 units. What is its circumference?

Mathematics

2 answers:

Alinara [238K]4 years ago

8 0

Answer:

pi4

Step-by-step explanation: Formula is piD, diamter is 4, so pi4 which equals 12.56

maxonik [38]4 years ago

3 0

Answer: 12.56 units

Step-by-step explanation:

I had this on khan academy

You might be interested in

Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t

earnstyle [38]

His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.

3 0

4 years ago

Read 2 more answers

Graph the equation using the slope and the y intercept 2x-3y=8

sammy [17]

Step-by-step explanation:

<h2>Find slope-intercept structure </h2>

y=
$\frac{2}{3} x - \frac{8}{3}$
m=2/3, b=-8/3
therefore the slope will be 2/3

To find y-intercept

let x=0
2(0)-3y=8
-3y=8
y=-3/8

To find x-intercept

let y=0
2x-3(0)=8
2x=8
x=4

7 0

2 years ago

What is the sum of the measures of the interior angles of a decagon?

Dafna11 [192]

Answer:

1,440 degrees (10 interior angles of 144 degrees)

Step-by-step explanation:

4 0

3 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

Please include work!

geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14 ------------------------(II)

Substitute the y value in equation (II)

0.5x² - 10 = -x² + 14 {Add x² to both sides}

0.5x² + x² -10 = 14 {combine like terms}

1.5x² - 10 = 14 {Add 10 to both sides}

1.5x² = 14 + 10

1.5x² = 24 {Divide both sides by 1.5}

1.5x²/1.5 = 24/1.5

x² = 16

x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

= 0.5*16 - 10

= 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

= 0.5*16 - 10

= 8- 10

y = -2

5 0

3 years ago