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irga5000 [103]
3 years ago
7

Joe is 1.6m tall. His shadow is 2m long when he stands 3m from the base of a floodlight.height1.6 m2m3mWhat is the height of the

floodlight?2.4 m 2.6 m 4.0 m 4.2 m
Mathematics
1 answer:
alexdok [17]3 years ago
6 0
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight. 

First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:

1.6 / 2 = x / (2 +3)

where x is the height of the flood light

solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
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Joan works on commission for a furniture store. She gets a base pay of $85 a day plus 6 percent of the
podryga [215]

Answer:

Correct expression: 85 + 0.06(t - 400)

Correct earnings: $91

Step-by-step explanation:

The expression Joan wrote is incorrect because instead, $85, she put $400 as her base salary. The correct expression would be 85 + 0.06(t - 400), where 85 is her base pay in dollars, and t - 400 represents her sales in dollars exceeding $400.

If Joan's sales were $500, she would not make $424.90, but

85 + 0.06(t - 400)

85 + 0.06(500 - 400)

85 + 0.06(100)

85 + 6

$91

Hope this helps.

Cheers,

Andy

7 0
3 years ago
Classify the following triangle as acute, obtuse, or right
vekshin1
The answer is Acute
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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

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x: number of liters of fuel

k: proportionality constant

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This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

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1428 = 28x

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3 0
3 years ago
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solniwko [45]

Answer:

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Step-by-step explanation:

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2 years ago
-2(bx - 5) = 16<br><br> What’s does b and x equal?
horrorfan [7]
To solve this problem you must apply the proccedure shown below:
 You have the following equation given in the problem above:
 <span>-2(bx - 5) = 16
</span> When you solve for bx, you have:
 <span>-2(bx - 5) = 16
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 When you solve for b, you obtain:
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 When yoo solve for x:
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 </span>
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3 years ago
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