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andrew11 [14]
3 years ago
5

Richard and Tom each mow lawns in the summer to earn money. The lawns they mow are all approximately the same size. Richard’s ea

rnings are shown in the graph and Tom’s earnings are shown in the table.
Tom’s Earnings

Number of Lawns Earnings
3 $22.50
8 $60
12 $90
15 $112.50

How much money, in dollars, does each person earn per lawn mowed?

Richard earns $___per lawn.

Tom earns $___per lawn.

Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer$7.50

Step-by-step explanation:

Divide each amount by the number of lawns

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Answer:

The Value of a=\frac{15}{4}.

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

sin\ \theta = \frac{opposite\ side}{Hypotenuse}

sin \ S= \frac{PQ}{QS}

Substituting the given values we get;

sin\ 30\°=\frac{x}{15}

Now we know that;

sin\ 30\° = \frac12

So we can say that;

\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\

Cos\ Q = \frac{QR}{PQ}

Substituting the given values we get;

cos 60\°= \frac{a}{x}

Now we know that;

cos 60\°= \frac12

x=\frac{15}{2}

So substituting the values we get;

\frac{1}{2}=\frac{a}{\frac{15}{2}}

By Using Cross Multiplication we get;

a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}

Hence The Value of a=\frac{15}{4}.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Find the value of x
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Answer:

45 degrees

Step-by-step explanation:

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