Answer:
1/2 Or 7/14
Step-by-step explanation:
14 divided by 7 is 2, which means that 1/2 of the boats that came in were from Rhode Island.
Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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Answer:
Height of the building that cast a shadow of 45 meters is 27 meters
Step-by-step explanation:
This is a direct variation and let height of the object represent H and shadow represent S
Hence H∝S
H = KS, where K=constant of proportionality
K = H/S
K = 6/10 = 0.6
Hence height of a building that cast a shadow of 45 meters
H = KS
H = 0.6 × 45 = 27 meters
If I toss a fiar coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is
a. 0.5
b. less than 0.5
c. greater than 0.5
d. 0
e. 1