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3 years ago

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

2120.58 centimeters³

Explanation:

First divide the diameter by 2 to get 9. The volume of a cone is 1/3*π*r²*h so 1/3*π*9²*25

This equals 2120.59 cm³ (cubed)

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The heaviest dinosaur is estimated to have welghed 2.8 x 10^5 pounds. The average car weighs about 4 x 10^3 pounds.

34kurt

Answer:

Step-by-step explanation:

Apparently, you want the ratio of the weights:

(dino weight)/(car weight) = (2.8×10^5)/(4×10^3)

= (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100

= 70

The heaviest dinosaur weighed about 70 times the weight of an average car.

_____

Your calculator can do arithmetic in scientific notation. So can any spreadsheet.

The applicable rule of exponents is ...

(10^a)/(10^b) = 10^(a-b)

4 0

3 years ago

NO LINKS!!!! Find the equation of the circle below

inysia [295]

Answer:

$(x+3)^2+(y-2)^2=9$

Step-by-step explanation:

Equation of a circle

$(x-a)^2+(y-b)^2=r^2$

where:

(a, b) is the center
r is the radius

From inspection of the diagram, the center of the circle appears to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.

Substitute these values into the general form of the equation of a circle:

$\implies (x-(-3))^2+(y-2)^2=r^2$

$\implies (x+3)^2+(y-2)^2=r^2$

Again, from inspection of the diagram, the maximum vertical point of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

$\implies (x+3)^2+(y-2)^2=3^2$

Therefore, the final equation of the given circle is:

$\implies (x+3)^2+(y-2)^2=9$

7 0

2 years ago

Read 2 more answers

Is the binomial a factor of the polynomial nominal function?

Sedbober [7]

The factors for given equation f(x)= $x^{3} +3x^{2} -25x-75$ .

(x-1) - No
(x-3) - No
(x+3) - Yes
(x-5) - Yes
(x+5) - Yes

Step-by-step explanation:

The given equation is f(x)= $x^{3} +3x^{2} -25x-75$ .

Add 0 at the end of the equation.

$x^{3} +3x^{2} -25x-75$ = 0.

Let us group the given equation,

$(x^{3} +3x^{2}) -(25x-75)$ =0.

⇒ Group 1: $x^{3} +3x^{2}$ .

Group 2: $- 25x +75$ .

Pull out factor from each group,

⇒ Group 1: $(x+3)(x^{2})$ .

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

$(x+3)(x^{2} -25)$ =0.

One of the factor is (x+3).

Other factors are solved by the formula, $a^{2}-b^{2} = (a+b) (a-b)$ .

$(x+3)(x^{2} -25)$ = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0

3 years ago

HELP PLEASE!!!

boyakko [2]

Depends on if you want it rounded.

14.47

4 0

3 years ago

Solve 9x2 + 12x – 24 = 0 using the quadratic formula. A. x = 7, –1 B. C. D. x = 4, –7

Ksivusya [100]

$\bf \qquad \qquad \textit{quadratic formula}\\\\

\begin{array}{lcclll}
9x^2&+12x&-24&=0\\
\uparrow &\uparrow &\uparrow \\
a&b&c
\end{array}
\qquad \qquad 
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}$

8 0

3 years ago

Read 2 more answers