Use the given data to construct a frequency and relative frequency distribution.

Find the volume of a cone with base area 367 ft2<br> and a height equal to twice the radius.<br> a

Lostsunrise [7]

Answer:

The volume in terms of π is 144 ft³

The volume rounded to the nearest tenth is 452.4 ft³

Step-by-step explanation:

The formula of the volume of a cone is V = π r² h , where r is its radius and h is its height

The formula of the area of a circle is A = π r²

The area of the base of the cone is 36π ft²

Equate the formula of the area of the circle by 36π to find r

πr² = 36π

Divide both sides by π

r² = 36

Take √ to both sides

r = 6 ft

The height of the cone is equal to twice the radius

The radius of the cone is 6 ft

Multiply 6 by 2 to find the height

h = 2(6) = 12 ft

The height of the cone is 12 ft

Subsitute the values of h and r in the formula of the volume of the cone to find it

V = π(6)²(12)

V = 144 π ft³

V = 452.3893421 ft³

Round it to the nearest tenth

V = 452.4 ft³

6 0

2 years ago

An object is moving at a speed of 4 meters per month. Express this speed in inches

BartSMP [9]

Answer:

<h2><em>0.22inches/hour</em></h2>

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence<em> 4 metres = 157.77inches.</em>

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence <em>1 month = 720hours</em>

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

<em>Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour</em>

7 0

3 years ago

Plssssss help me with my test

STatiana [176]

58.5 yards

yea hope this helps

3 0

3 years ago

When multiplying a vector by a positive scalar number, the vectors _____ stays the same

shepuryov [24]

Answer:

Direction

Step-by-step explanation:

Multiplying a vector by a positive scalar numbers impacts its horizontal and vertical components by the same proportional amount, but doesn't change its direction.

7 0

3 years ago

Simplify: 3x – 5 + 23x – 9

padilas [110]

Simple form of equation 3x – 5 + 23x – 9 =<u> 26x-14</u>

<h3>Further Explanation </h3>

Linear Equation in One Variable is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax = b}}$

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas Linear Equation in two Variable is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large {\boxed {\bold {ax + bx = c}}}$

x, y = variable

There are several ways to solve an equation

• Add / Subtract / divide / multiply the same value on both sides

• Combine like terms

• Factoring

• Expanding

Like terms are terms whose variables and their exponents are the same.

You can combine and add terms

The algebraic form of 3x - 5 + 23x - 9 is a Linear Equation in One Variable, can be simplified:

• 1. Combine like terms

(3x + 23x) + (-5 - 9)

• 2. Add like terms:

26x -14

<h3>Learn more </h3>

an algebraic expression

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4 0

3 years ago

Read 2 more answers