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nasty-shy [4]
1 year ago
11

The diameter of a circle is 3.6 units. If its circumference is aπ units, what is the value of a?

Mathematics
1 answer:
liubo4ka [24]1 year ago
6 0

Answer:

11.31

Step-by-step explanation:

<h3>given:</h3>

The diameter of the circle is 3.6 units.

<h3>to find:</h3>

Value of "a"

<h3>steps</h3>

Circumference of a circle in terms of radius:
Circumference = 2 · π · r = 2 · 3.14 · 1.8 = 11.31 (*)

In terms of diameter:

Circumference = π · d = 3.14 · 3.6 = 11.3 (*)

In terms of area:

Circumference C = √4·π·A = √4·π·10.18 = 11.31 (*)

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<img src="https://tex.z-dn.net/?f=%28a%29%20%7B%20-%20%28b%29%7D%5E%7B2%7D%20" id="TexFormula1" title="(a) { - (b)}^{2} " alt="(
Cloud [144]

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

<u><em>HOPE THIS HELPS!</em></u>

<u><em>PLEASE MARK BRAINLIEST! :)</em></u>

7 0
2 years ago
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example
GalinKa [24]
If you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing
4 0
2 years ago
Describe the graph of the function f(x) = x3 − 15x2 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph
solong [7]
So this would be a cubic graph because the largest exponent is a 3.

The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.

The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8

So in Summary:

This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)
5 0
3 years ago
Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.
8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost  = $ x

So,  According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = \frac{45}{1.09} = $ 41.28

Hence The lodging cost of the room is $ 41.28   Answer

6 0
3 years ago
A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?​
Damm [24]
So to figure this out we are looking for the amount of customers in the store each our, so we simply divide 120 by 6 and get 20 as our answer.
3 0
2 years ago
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