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arsen [322]
3 years ago
5

Adrienne has chicken and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the ch

ickens
Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer: 7:12

Step-by-step explanation:

From the question, we are informed that Adrienne has chicken and ducks on her farm and that she has 28 ducks and 48 chickens.

The ratio that describes the number of ducks to the chickens will be gotten by first representing the number of ducks to chicken as a fraction and reducing to lowest term. This will be:

= 28/48

= 7/12

= 7:12

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-4r-11=4r+21 pls help <br>​
Masja [62]

-4r-11=4r+21

Move 4r to the other side

Sign changes from +4r to -4r

-4r-4r-11=4r-4r+21

-4r-4r-11=21

-8r-11=21

Move -11 to the other side

Sign changes from -11 to +11

-8r-11+11=21+11

-8r=21+11

-8r=32

Divide both sides by -8

-8r/-8=32/-8

Answer: r=-4

8 0
3 years ago
Read 2 more answers
400 reduced by 3 times my age is 163
Blababa [14]
400 - 3x = 163

Add 3x to both sides.

400 = 163 + 3x

Subtract 163 to both sides.

237 = 3x

237/3 = 79
5 0
3 years ago
Use a calculator to find the value of these data. Round the value to three
insens350 [35]

Answer:

-1, -1.1, 0.9, 1

Step-by-step explanation:

6 0
2 years ago
A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes
Rudik [331]

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}.

Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the <em>Cosine rule</em> to have:

c^{2} = a^{2} + b^{2} - 2ab Cos C

So that;

7^{2} = 6^{2} + (6.5)^{2} - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

               = 29.25

Cos C = \frac{29.25}{78}

         = 0.375

C = Cos^{-1} 0.375

   = 67.9757

C = 68^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of B,

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{6.5}{Sin B} = \frac{7}{Sin 68}

SIn B = \frac{6.5 *Sin 68}{7}

         = 0.861

B = Sin^{-1} 0.861

   = 59.43

B = 59.4^{o}

Thus to determine the value of A, we have;

A + B + C = 180^{o}

A + 59.4^{o} + 68^{o} = 180^{o}

A = 180^{o} - 127.4

  = 52.6

A = 52.6^{o}

Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

#SPJ1

8 0
2 years ago
Find the reciprocal <br> (Urgent!!)
Mars2501 [29]

Answer:

1) 2

2) \frac{3}{2} or 1\frac{1}{2}

3) 5

4) 3

5) \frac{5}{3} or 1\frac{2}{3}

6) \frac{4}{5}

7) \frac{5}{2} or 2\frac{1}{2}

8) \frac{7}{3} or 2\frac{1}{3}

9) \frac{2}{3}

Step-by-step explanation:

The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.

Hope it helps!

3 0
3 years ago
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