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swat32
3 years ago
9

|−5| − |−9| (Work The problem out)

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer: -4

Step-by-step explanation: well when it’s absolute value the -5 turns to positive 5 and the value of -9 turns to positive 9. So that leaves 5-9=-4

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Write an equation to represent the sum modeled in the following number line.
KonstantinChe [14]

Answer:

-6/4

Step-by-step explanation:

-13/4+7/4=

=-6/4

Step-by-step explanation:

4 0
3 years ago
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
What is the value of an annuity due at the end of 15 years of quarterly deposits of $2,000.00 with terms of 8 percent compounded
aleksley [76]
That's a hard question/
3 0
3 years ago
Here are 100 seats on an airplane, and each of 100 passengers has a ticket for a different seat. The passengers line up to board
Kryger [21]

Answer:

There are 1% probability that the last person gets to sit in their assigned seat

Step-by-step explanation:

The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.

If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.

LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!

Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.

P = 99!/100! = 99!/ (100 * 99!) = 1/100

There are 1% probability that the last person gets to sit in their assigned seat

7 0
3 years ago
Solve the equation 3=8^x for x<br>​
Furkat [3]

Answer:

x=2 2/3

Step-by-step explanation:

The equation also means that x=8^3

8/3=2 2/3

7 0
3 years ago
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