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topjm [15]
3 years ago
13

The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close

st to the width of the pool?​
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216

Taking square root on both sides

\sqrt{w^2}=\sqrt{216}\\w=14.70

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

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Answer:

(c)  y=\frac{-1}{3}x+4  will be perpendicular to the line y = 3x+2

Step-by-step explanation:

We have given the the equation of line as y = 3x+2

We know the equation of line as y = mx+c , here m is slope and c is intercept

On comparing with standard equation of line m = 3

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(b)  Line is given as y=\frac{1}{3}x+2 its slope is \frac{1}{3} so it will be not perpendicular

(c)  Line is given as y=\frac{-1}{3}x+4 its slope is \frac{-1}{3} so it will be perpendicular to the line y = 3x+2

(d) Line is given as y=3x+\frac{1}{2} its slope is 3 so it will not perpendicular to the line y = 3x+2

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