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r-ruslan [8.4K]
3 years ago
11

Which is an equivalent equation solved for r?

Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer:

r= C over 2π

Step-by-step explanation:

C =  2πr

To solve for r, divide each side by  2π

C/  2π =  2πr/  2π

C/  2π =  r

Elza [17]3 years ago
8 0

Answer: r= C over 2π or r=\dfrac{C}{2\pi}

Step-by-step explanation:

Formula to find the circumference of a circle is given by :-

C=2\pi r, where r is the radius of the circle .

To find the formula for r , we need to divide both sides by 2\pi, we get

r=\dfrac{C}{2\pi}

Hence, an equivalent equation solved for r will be :-

r=\dfrac{C}{2\pi} i.e. r= C over 2π

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A, B, C and D are four towns.
djverab [1.8K]

Three of the four towns are on the vertices of the triangle ΔCBD, through

which the bearing can calculated.

<h3>Response:</h3>
  • The bearing of D from B is approximately <u>209.05°</u>

<h3>Method by which the bearing is found;</h3>

From the given information, we have;

AC = AB = 25 km

∠BAC = 90° (definition of angle between north and east)

ΔABC = An isosceles right triangle (definition)

∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

tan(\angle ABD) = \dfrac{45}{25}

  • \angle ABD = arctan \left(\dfrac{45}{25} \right)  \approx 60.945^{\circ}

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the

direction of <em>D.</em>

<em />

Therefore;

  • The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>

Learn more about bearings in mathematics here:

brainly.com/question/10710413

5 0
3 years ago
Solve 3(x+2)+5(x+2)=64
valkas [14]

Answer:

6

Step-by-step explanation:

3x+6+5x+10=64

3x+5x+6+10=64

8x+16=64

8x=64-16

8x=48

divide both sides by 8

x=6

6 0
3 years ago
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3

So, from the conditional probability, we can calculate:

P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}

Answer E.

5 0
3 years ago
If man's salary is 20 dollors a week and he spends 14 dollors a week how long will it take him to save 300 dollors
Contact [7]
Solutions 

⇒ Given 

Salary - $ 20 

Spends - $ 14 

The first step is to subtract 14 from 20. When we do this, we will know how much he saves.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ 

Calculations 

20 - 14 = 6 

He saves $ 6 each week. 

Now we have to find how many times 6 goes into 300. To do this we have to divide. 

300 ÷ 6 = 50 

<span>It is going to take him 50 weeks. </span>
7 0
3 years ago
Read 2 more answers
Determine the value of x in the figure.
telo118 [61]
Your answer is in the picture.

6 0
3 years ago
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