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Effectus [21]
3 years ago
14

What is the measurement of the highlighted side x? Please help and show steps please :)

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

Answer:

Denote the O, A, B, C, D as shown in attached image:

O is center of circle.

OA = OC = OD = radius of circle

=> triangle OAD is isosceles

=> BA = BD = 12.8

Applying Pythagorean theorem:

OB = sqrt(OA^2 - BA^2) = sqrt(15.1^2 - 12.8^2) = 8.0

=> x = OC - OB = 15.1 - 8.0 = 7.1

Hope this helps!

:)

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3 years ago
Stephen's lunch bill is currently at $8.33. Stephen orders a fruit salad for take-out, and wants to leave $2.25 as a tip for his
Salsk061 [2.6K]

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$1.53

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The computation of the change in the bill is shown below:

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6 0
3 years ago
If PQ=8 and Q lies at -13 where could P be located?
choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

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It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

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R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

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3 years ago
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