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Question :

Cone is formed from 3200 ft³ of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone

Answer:

11.3 feet

Step-by-step explanation:

The volume of a cone = πr²h/3

We are asked to find the radius

The formula is given as:

r = √3V/πh

V = 3200 ft³

h = 24 ft

r = √3 × 2400/π × 24

r = 11.28379 ft

Approximately = 11.3 ft

The radius in feet = 11.3 ft

Answer:

The equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

Step-by-step explanation:

We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).

And we know that acceleration can be written as a second derivative:

[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)

Now, we can take the integral in each side:

[tex]\int gdt=\int y''dt[/tex]

[tex]\int y''dt=\int -9.81dt[/tex] (2)

Solving the integral in each side we have:

[tex]y'(t)=-9.81t+C[/tex] (3)

Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.

Now, the initial conditions are:

initial height y(0) = 15 feet

initial velocity y'(0) = v(0) = 64 feet/s

Using this condition we can find C. Let's evaluate equation (3) at t = 0.

[tex]y'(0)=-9.81(0)+C[/tex]

[tex]C=64\: feet/s[/tex]

So we have:

[tex]y'(t)=-9.81t+64[/tex] (4)

Now, we need to take the integral of equation (4) to get the position function:

[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]

Solving this new integral we have:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)

Using the same method above, we can find D evaluating (5) at t = 0, we have:

[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]

[tex]D=y(0)[/tex]

[tex]D=15\: feet[/tex]

Finally, the equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

I hope it helps you!

Answer:

(20 miles/inch) * (3.5 inches) = 70 miles

Step-by-step explanation:

Answer:

72-90 mile

OlivOliviOlivia‘s grandmother Town is 72 to 90 miles away

the slope of this line is either A) 3 or C) 1

I think its 3

Answer:

X= 8 and y= 138

Step-by-step explanation:

IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION

Answer:

no

Step-by-step explanation:

Answer:

It is C i believe

Step-by-step explanation:

Answer:

AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right

Step-by-step explanation:

Answer:

The answer is the third option, 20.

9514 1404 393

Answer:

  x = (9/2)√2 = 4.5√2

Step-by-step explanation:

We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:

  9 = x·√2

  9√2 = 2x . . . . multiply by √2

  (9/2)√2 = x . . . divide by 2

here you go hope this helps!

heyy dude just wanted points. so yeah.

Answer:

I was not aware of the "daily limit" thing for answers

Step-by-step explanation:

Answer:

Cone: 100ft^3

Sphere: 200ft^2

Step-by-step explanation:

Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:

[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]

So we can just instantly tell that the volume of the cone is 100feet^3.

Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]

[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]

So we can instantly tell that the volume of the sphere is 200feet^3

Answer:

Monday, may 31, 2021

Step-by-step explanation:

:)))

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

Answer:

I think the answer is $40,000

Step-by-step explanation:

Answer:40,000

Step-by-step explanation:

Answer: 9/8

Step-by-step explanation:

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

Answer:

Expected population=  1,904,308 people

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,350,000

Number of periods (n)=  10 years

Growth rate (g)= 0.035 per year

To calculate Future Value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,350,000*(1.035^10)

FV= 1,904,308 people

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction

Answer:

h=18.68

Step-by-step explanation:

V=( [tex]\pi[/tex] h r² )/ 3

h = 3V / r²·[tex]\pi[/tex] = 18.68

Answer:

V=3,14×6

=18,68

A.16,68 feet

Answer:

Opens up

Step-by-step explanation:

x^2+2x-15

Standard form: ax^2+bx+c

If a<0, then the graph opens down

If a>0, then the graph opens up.

In this case: 1x^2+2x-15

a=1

Since 1>0 then the graph opens up.

Answer:

maybe

Step-by-step explanation:

Answer:

Flowers: 5

Vegetables: 25

Step-by-step explanation:

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25