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3 years ago

If a number is divisible by 2,5,9 what is one digit of the number

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

Answer:

the lcm of the three factors will be one digit of the number

Step-by-step explanation:

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

GaryK [48]

Answer: $y = \frac{x-1}{x+1}$

Step-by-step explanation:

$log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}$

6 0

3 years ago

Read 2 more answers

Ation in an Application Problem

Greeley [361]

Less than $3 because 25/7/2

6 0

2 years ago

2•(3 (5+2) - 1) Geometry Math.

bagirrra123 [75]

Answer:

Step-by-step explanation:

2 • (3(5 + 2) - 1) =

Start with the innermost parentheses.

= 2 • (3(7) - 1)

Now do the multiplication inside the parentheses.

= 2 • (21 - 1)

Do the subtraction inside the parentheses.

= 2 • 20

= 40

3 0

3 years ago

Calculate the volume of copper used to make a copper pipe which is 50cm long, that has an outer diameter of 8cm and a thickness

Maslowich

i know the answer but im not telling you boi

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2 years ago