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Mariulka [41]
3 years ago
7

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 10 boys an

d 8 girls are competing, how many different ways could the six medals possibly be given out?
Mathematics
2 answers:
Marysya12 [62]3 years ago
3 0

212345678901234567890

shepuryov [24]3 years ago
3 0

Answer:

120

Step-by-step explanation:

The number of ways the gold can be awarded is 6

The number of ways the silver can be awarded is 5

And the number of ways the bronze can be awarded is 4

6 * 5 * 4 = 120

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Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Step-by-step explanation:

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Whats the reciprocal of 5​
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4 0
3 years ago
1. A MAP SCALE READS 1CM:5KM. IF A DISTANCE ON THE MAP MEASURES 7CM, THE ACTUAL DISTANCE WILL BE?. 2. A SCHOOL DINING HALL IS 35
Agata [3.3K]

Answer:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. 42^\circ

5. 16.73 m

Step-by-step explanation:

Solution 1.

Reading of map scale = 1cm:5km

i.e. 1 cm is equivalent to 5 km

Measurement of map  = 7 cm

Actual distance = Measurement of map \times 5

Actual distance = 7 \times 5 = <em>35 km</em>

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

Solution 2.

Length of dining hall = 35 m

Measurement of map = 7 cm

Scale = Measurement of map : Length of dining hall (i.e. ratio)

Scale = 7 cm :35 m = <em>1 cm : 5 m</em>

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

Solution 3.

Length of building = 30 m

Scale = 1 cm to 5m

5 m is equivalent to 1 cm on scale

1 m is equivalent to \frac{1}{5} cm on scale

30m is equivalent to \frac{1}{5} \times 30 = <em>6 cm</em> on scale

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

Solution 4.

Angle of elevation of A from B = 42^\circ

Angle of depression of B from A = ?

Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.

Angle of depression of B from A = 42^\circ

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

Solution 5.

Given that:

String length, or hypotenuse of triangle BC= 25 m

Angle of string with horizontal, \angle B  = 42^\circ

Please refer to the attached image for the clear understanding of the situation.

To find:

Height, AC = ?

We can use trigonometric identity:

sin\theta = \dfrac{Perpendicular}{Hypotenuse}

OR

sinB = \dfrac{AC}{BC}\\\Rightarrow sin42^\circ = \dfrac{AC}{25}\\\Rightarrow AC = 25 \times 0.67\\\Rightarrow AC = 16.73 m

============

So, the answers are:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. 42^\circ

5. 16.73 m

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The price of an item has been reduced by 20%. The original price was $85. What is the price of the item now?
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3 years ago
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Find the greatest common factor of 6 and 35
Yanka [14]

Answer:

6

Step-by-step explanation:

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