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kykrilka [37]
3 years ago
8

Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path an

d the last tree is planted at the end of the path. Calculate the total number of trees planted.
Mathematics
1 answer:
Luden [163]3 years ago
4 0
<h3>Solution :</h3>

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

\hookrightarrow \: (n - 1)d = 140

\hookrightarrow \: (n - 1)5 = 140

\hookrightarrow \: n - 1 =  \dfrac{140}{5}

\hookrightarrow \: n = 28 + 1

\hookrightarrow \: n = 29

hence, total number of trees = 29.

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3 years ago
A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

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The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

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Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

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Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

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Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

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3 years ago
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So now we know that the store must sell 65 bikes a month to break even.

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Ahmad should have $52 left
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