Answer:
1. 5700mg
2. 1000cm
3. 0.0453m
4. 37.5 kg/L
Step-by-step explanation:
1. 1gram (g) =1000milligrams(mg)
5.70×1000=5700mg
2. 1 m= 100cm
10×100=1000cm
3. 1000mm=1m
45.3/1000=0.0453m
4. 1000g=1kg
37.5/1000=0.0375
1000ml=1L
1ml= 1/1000= 0.001L
0.0375/0.001= 37.5 kg/L
Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
There are many ways you can write a ratio. They're all basically the same thing, though. 5:9, 5 to 9, and 5/9 (which is a fraction) are all just different ways to write ratios.
Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° 
Answer:
Therefore Mason would be expected to win 50 times.
Step-by-step explanation:
i) probability of flipping a head for a fair coin is 
ii) probability of flipping two fair coins is = 
iii) Therefore if Mason plays 200 times he would be expected to win
= 
