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LuckyWell [14K]

2 years ago

5

Lisa earns $81 washing 9 windows. At this rate, how much does Lisa earn washing 5 windows?

2 answers:

Maru [420]2 years ago

7 0

So, this is simple, but needed to be one step at a time. We need to find out how much she earns by washing one window, and to do that we need to divide $81 by 9, and after that division she earns $9 per window. If she washes 5 windows, multiply $9 by 5 as that's how much she's going to earn. So, when she washes 5 windows, she earns $45.

tester [92]2 years ago

6 0

Answer:

45

Step-by-step explanation:

81÷9=9

9×5=45

..............

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Goshia [24]

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The distance from hot air balloon to the ground $AC=50.1457 ft$ .

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is $40$ °.

When she stepped back $200 ft$ then angle of elevation was $10$ °.

Height of Angie is $5.5 ft$ .

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie $(BC) = 5.5ft$

In triangle Δ $ABD$ ,

⇒ $tan {40\si {\degree}} = \frac{AB}{BD}$

⇒ $AB = tan (40) \times BD$ ....................(1)

Now, In triangle Δ $ABE$

⇒ $tan (10)= \frac{AB}{200+BD}$

⇒ $AB = tan(10)\times (200+BD)$

Here, substituting the value $AB$ from Equation (1) we get,

$tan(10)\times (200+BD)= tan(40)\times BD$

$tan(10)\times 200+tan(10)\times BD= tan(40)\times BD$

⇒ $BD\times (tan(40)-tan(10))=tan(10)\times 20$

⇒ $BD\times 0.6628 = 35.2654$

⇒ $BD = \frac{35.2654}{0.6628} =53.2067 ft$

Now, finding the value of $AB$ from equation (1)

$AB= tan(40)\times 53.2067=0.8391\times 53.2067$

$AB=44.6457 ft$

Therefore Length of $AC= AB+BC$ = $(44.6457 + 5.5) ft$

$AC=50.1457 ft$ .

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The distance from hot air balloon to the ground $AC=50.1457 ft$ .

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