What’s 3.6 divided by 73.72 plz help

Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hun

Alchen [17]

Given:

For cylinder P: radius = 4.25 in. and height = 14 in.

For cylinder Q: radius = 7 in. and height = 8.5 in.

To find:

The volume of each cylinder.

Solution:

Volume of a cylinder is

$V=\pi r^2h$

where, r is radius and h is height. Use 3.14 for $\pi$ .

Using the above formula, the volume of cylinder P is

$V_P=(3.14)(4.25)^2(14)$

$V_P=794.0275$

$V_P\approx 794.03$

Using the above formula, the volume of cylinder Q is

$V_Q=(3.14)(7)^2(8.5)$

$V_Q=1307.81$

Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.

7 0

3 years ago

A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o

Novay_Z [31]

The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft

5 0

3 years ago

Find the range of (f+g)(x) when f(x) = (x+4)^2 and g(x) = 3

qwelly [4]

$(f+g)(x)=f(x)+g(x)\\\\f(x)=(x+4)^2;\ g(x)=3\\\\(f+g)(x)=(x+4)^2+3=(x)^2+2(x)(4)+4^2+3\\\\=x^2+8x+16+3=x^2+8x+19\\\\Used:\\\\(a+b)^2=a^2+2ab+b^2$

7 0

3 years ago

Ac and bd are perpendicular bisectors of each other. find the perimeter of ADE

11Alexandr11 [23.1K]

ADE should be corresponding

6 0

3 years ago

Read 2 more answers

A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke

valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

4 0

3 years ago