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qwelly [4]
3 years ago
12

Find the difference between (x+7) & (3x+4)

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

(x + 7) - (3x + 4) = x + 7 - 3x - 4 = (x - 3x) + (7 - 4) = -2x + 3

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If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

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2 years ago
A baseball hat for $22.90 at 5% sales tax
Alexus [3.1K]
22.90*1.05=24.045
sales tax is 5% added to 100% of the original cost making the actaul cost including tax $24.045 
8 0
3 years ago
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san4es73 [151]

Answer:

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Step-by-step explanation:

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$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

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galina1969 [7]
The answer is 53/6 in fraction form
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3 years ago
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