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IrinaVladis [17]
3 years ago
11

the corresponding side of two rectangular swimming pools are 66 feet and 44 feet if the perimeter of the larger pool is 198 feet

what is the perimeter of the smaller pool?
Mathematics
1 answer:
morpeh [17]3 years ago
5 0
Add them together p= a+b=c
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The actual length of a in the triangle shown is 10 cm. Use the scale drawing of the triangle to find the actual length of side b
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In the accompanying diagram, PA is tangent to the circle at A and PC is a secant. If
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Answer:

c. 12

Step-by-step explanation:

PA² = (BC + PB) × PB => tangent-secant theorem

PA = 8

PB = 4

BC = ?

Substitute

8² = (BC + 4) × 4

64 = 4BC + 16

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3 years ago
Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
Otrada [13]

Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

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\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

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Brilliant_brown [7]

AB = 6.1

\sin(c)  =  \frac{ab}{x}  \\  \\ ab = 7.7 \sin(52)  \\ ab = 6.06

6 0
3 years ago
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