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3 years ago

A circular post in a cafeteria has a diameter of 3 feet. Which of these is

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer:

9.42 feet

Step-by-step explanation:

The circumference is π × diameter.

3.14 × 3 = 9.42

The circumference of the circular post is 9.42 feet.

You might be interested in

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Evaluate and reduce:

AfilCa [17]

Answer:

-31/8

Please mark me as brainliest

6 0

2 years ago

What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60

Amanda [17]

The answer is: " x = 105.41 " .

_____________________________________________

Explanation:

_____________________________________________

Given: " 24 log (3x) = 60 " ; Solve for "x" .

The default is to assume "base 10" for the "logarithm".

_____________________________________________

Start by dividing each side of the equation by "24" ;

→ [ 24 log(3x) ] / 24 = 60 / 24 ;

to get:

_____________________________________________

log (3x) = 2.5 ;

_____________________________________________

Rewrite as: log₁₀ (3x) = 2.5 ;

_____________________________________________

Using the property of logarithms:

⇔ 10⁽²·⁵⁾ = 3x ;

↔ 3x = 10⁽²·⁵⁾ ;

→ 10^ (2.5) = 316.2277660168379332 ;

→ 3x = 316.227766016837933 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

→ 3x / 3 = 316.2277660168379332 / 3 ;

to get:

→ x = 105.4092553389459777333 ;

→ round to 2 (two) decimal places;

_____________________________________________

→ " x = 105.41 " .

_____________________________________________

Hope this helps!

Best wishes to you!

_____________________________________________

8 0

2 years ago

What is the value of the expression? Y=6 z=2

slava [35]

The answer is 16 can u give me brainliest hehehe

4 0

3 years ago

Read 2 more answers

-8, 22, 52, 82, ...<br> Find a 20

gladu [14]

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = 30.

a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562

8 0

2 years ago