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3 years ago

A cone ha a volume of 27 pi cm cubed and a radius of 3 cm what is the height of the cone

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

I answered this before and explained this but the answer is 3π I think. Hope this helps

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Simplify the radical expression. Leave it in radical form. SHOW YOUR WORK<br><br> √75 + √3 √75 + √3

gayaneshka [121]

15+6<span>√3 is the correct answer.

Work:
</span><span>√75 + √3 √75 + √3
5</span>√3+√3+√3*5√3
6√3+3*5
15+6√3

6 0

3 years ago

A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig

givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, $A_p=(x-2)(y-8)$

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

$A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}$

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

$\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}$

Equate the differentiated function with 0,

$0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.$

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

4 0

2 years ago

If two points of a ray lie in a plane, then all of the ray lies in the plane.true or false

Gnoma [55]

The correct answer for the given statement above would be FALSE. If two points of a ray lie in a plane, then not all of the ray lies in the plane because i<span>f two points of a ray lie in a plane, that does not imply that the ray lies in the plane. If A then B, B does not necessarily imply A. This makes the statement incorrect. </span>

3 0

3 years ago

2. Every December, Tagaytay City Science National High School is sponsoring a

kirza4 [7]

Answer:

a: 162

b: 142

Step-by-step explanation:

a: december 1=2

a: december 2=6

a: december 3 = 6 x 3 = 18

a: december 4 = 18 x 3 =54

a: december 5 = 54 x 3 =162

~ triples the number of newspapers means "x3" ~

so on the last day, 162 newspapers

B: sum up all the newspapers:

2 + 6 + 18 + 54 + 162

= 8 + 18 + 54 + 162

= 26 + 54 + 162

= 80 + 162

= 242 all in total newspapers

3 0

2 years ago

Determine the value of s, the arc length (measured in inches) cut off in a circle with a radius of 3.4 inches by an angle with a

AleksandrR [38]

Answer:

Arc length s = 15.3 inches

Step-by-step explanation:

We know that length of an arc that subtends an angle θ radians at the center is given by

$s=r\times \Theta$

where

r is the radius of the circle

θ is the angle subtended in radians

Thus applying values we get $s=3.4\times \ 4.5radians$

thus s = 15.3 inches

4 0

3 years ago