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Phoenix [80]
3 years ago
11

Select each set of events that are independent.

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

Options A, B and C are all independent events while the rest are all dependent events.

Step-by-step explanation:

Please kindly check the attached files for explanation.

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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
Lucas took out a car loan for $14,475 that has a 0% APR for the first 16
Fiesta28 [93]

Answer:

The answer is 44 months.

Step-by-step explanation:12*5=60

60 months - 16 months = 44

7 0
3 years ago
I need help with #4 a-d
lesya [120]

a repeating decimal is placed over 9's instead of 0's.   for example: 0.23 = \frac{23}{100}, but 0.232323... = \frac{23}{99}

a) x = 0.121212

b) 100(x) = 100(0.121212)

    100x  = 12.1212

c)  100x = 12.1212

-  <u>        x =   0.1212</u>

     99x  =  12

         x  = \frac{12}{99}

d) -2\frac{12}{99}  <em>= -2\frac{4}{33} when simplified</em>

The number is rational becase it has a repeating decimal

6 0
3 years ago
A window is in the shape of a kite. caleb wants to apply a layer of plastic film on the top half of the window so that the glass
vazorg [7]

The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.

<h3>What are the dimensions of the layer of film?</h3>

A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.

The dimensions of the upper part:

  • Width = 18 inches
  • Length = 14 inches / 2 = 7 inches

Please find attached the complete question. To learn more about kites, please check: brainly.com/question/2918354

#SPJ4

3 0
2 years ago
Answer this quickly plx​
Natalija [7]

Answer:

10x+200\leq375

Step-by-step explanation:

subtract 200 from both sides

10x\leq175

divide both sides by 10

x\leq17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

5 0
3 years ago
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