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Rainbow [258]
3 years ago
8

Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost

Mathematics
1 answer:
defon3 years ago
4 0

Answer:

The cost of 1 gallon is $2.5

<em></em>

Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

14\ gallons = \$35

Divide both sides by 14

\frac{14\ gallons}{14} = \frac{\$35}{14}

1\ gallon = \frac{\$35}{14}

1\ gallon = \$2.5

Hence,

<em>The cost of 1 gallon is $2.5</em>

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Find the missing lengths: LK=15 and KH=9, find KI and HI.
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Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

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Taking square root on both sides.

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Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

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24x=162

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Hence, the measure of HI is 6.75 units.

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Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
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