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monitta
3 years ago
12

Use the Distributive Property to rewrite each expression. -7 (5 - n)

Mathematics
1 answer:
daser333 [38]3 years ago
8 0
The answer is

-35 - 7n
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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

7 0
2 years ago
Identify the value of x that makes each pair of ratios
TEA [102]
C
5 is 1/3 of 15 and 1 is 1/3 of 3 so C would be correct
5 0
3 years ago
Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m
zlopas [31]

Answer:  Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2

Hence, Option 'd' is correct.

3 0
3 years ago
-6(6m + 7) = 102<br> Please help
nika2105 [10]

Answer:

Heres ur answer m=-4

8 0
3 years ago
40 POINTS PLEASE HELP!
laiz [17]

Answer:

1. X3,    15x - 10y = 80   15x - 7y = 51

-17y = 29

2. 8 = 1/60 + a. 8 - 1/60 = 7.98333333333

   6 = 1/80 + b. 6 - 1/80 =  5.9875

                                          13.9708333333

3. I genuinely dont know sorry.

4. Pencil = $0.05. Pen = $1.05

Step-by-step explanation:

5 0
3 years ago
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