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Ahat [919]
3 years ago
5

After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from t

he landing pad? If someone could explain to that would be very helpful

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.  

Line ab is the 2 miles southeast the plane flies.

Line ac = line cb

sine (45º) = opposite / hypotenuse = cb / 2

.70711 = cb / 2

cb = 1.41422  miles = line ac

Line cs = 3 - 1.41422 = 1.58578

Line x^2 = cs^2 + cb^2

Line x^2 = 2.5146982084  + 2.0000182084

Line x^2 = 4.5147

Line x = 2.1248

Step-by-step explanation:

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Deborah hikes due south for 3 miles. She then turns due west and hikes 4 miles. What is the shortest distance between the starti
Cerrena [4.2K]

Answer:

  5 miles

Step-by-step explanation:

The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.

  d^2 = 3^2 + 4^2 = 9 +16 = 25

  d = √25 = 5

Deborah ends 5 miles from her start.

8 0
2 years ago
Seventh graders collected some gold sand on a class field trip.
satela [25.4K]

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

<u>Key skills required are: Percentages, Multiplication</u>

<u />

  1. We only need the information about Class 7A. They collected 40 oz that contains 12% gold.
  2. In other words, this means that 12% of that 40 oz gold sand is pure gold.

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

<em>Do 0.12 x 40 and you will get 4.8</em>

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

3 0
2 years ago
Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =
stiks02 [169]

Answer:

  4^-2

Step-by-step explanation:

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

This means ...

  (4^6)(4^-8) = 4^(6-8) = 4^-2

7 0
2 years ago
Shane found gift bags in packs of 8 and bows in packs of 10. If Shane wanted to have the
Sergeeva-Olga [200]

Answer:

5 gift bags

Step-by-step explanation:

8 x 5 = 40

10 x 4 = 40

4 0
2 years ago
What operation would you we to convert cups to gallon explain
UkoKoshka [18]
We'd divide. 

This is because:

Gallons are much more than cups. If we cant to convert cups to gallons, we divide to get a smaller unit. 

Example: There are 32 cups on the table. How many gallons are there?

32/amount of cups per gallon
32/16 = 2

2 gallons, 
6 0
3 years ago
Read 2 more answers
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