9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the side opposite the angle (BC) and the hypotenuse (14 cm).
Sin = Opposite/Hypotenuse
sin(58°) = BC/(14 cm)
BC = (14 cm)×sin(58°) . . . . . multiply by the denominator
BC ≈ 11.9 cm
Divide 300 by 8 to find the unit rate
300/8= 37.5
He travels 37.5 miles per hour
If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4
37.5×4=150
In 4 hours he travels 150 miles
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To solve, we need to subtract from these two fractions. In order to do this, we will change one of them to have the same denominator as the other.
We have 5/14 and 1/7
Let us change 1/7
Multiply 2/2 (a form of 1 so it does not change the value of the fraction)
2/2 • 1/7 = 2/14
Now subtract from 5/14
5/14 - 2/14 = 3/14
ANSWER: Vicky ran 3/14 of a mile more
