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2 answers:
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Answer:
25
Explanation:
In order to solve this the easiest way you can use equivalent fractions.
Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.
25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.
So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.
And now we can solve it like a normal algebra problem.
Either way, we get 25.
OT = 4
PT = 6.93
<u>Explanation :</u>
<u />
OS = OT = R = 4
Hence ∠OTS = ∠OST, (Angles opposite to equal sides are equal)
∠TOS + ∠OTS + ∠OST = 180°
60° + ∠OTS + ∠OST = 180°
2∠OTS = 180° - 60° (∠OTS = ∠OST)
Hence, ∠TOS = ∠OTS = ∠OST = 60°
Hence, ΔOST is an equilateral triangle,
Therefore, OS = OT = ST = 4
Let us draw a perpendicular from OD on PT.
ΔODT is a right angled triangle
∠DTO = 90° - ∠OTS = 30° (Angle of a rectangle is 90°)
in ΔDTO,
cos 30° = DT/OT
DT = = 3.46
PT = 2*DT = 6.93
