
Positive square root of 0.25 = 0.5
Hope this helps. - M
Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
Answer:
A
Step-by-step explanation:
We know million has 6 zeros.
So, 1 million would be written as:
1,000,000
Similarly, 27 million would be written as:
27,000,000
We know writing a number in scientific notation would make this a decimal in 1 decimal place, so we would select "2.7" as the base of the scientific number.
Now, how many places to the right do we need to go (in 2.7) to make it 27,000,000?
Counting, we see: 7 places
So, power of 10 would be "7", thus we can write:

Answer choice A is right
The name of the sets of the numbers to which each of the given number belongs is:
- 7 = Natural number. Integer. Rational number.
- √23 = Irrational number.
- л = Irrational number.
- O = Rational number. Integer.
- -0.5 = Rational number.
- -2.5 = Rational number.
- √0.09 = Rational number.
- -√0.9 = Irrational number.
<h3>What are sets of numbers?</h3>
These are the various types of number groups that exist for categorizing numbers.
Natural numbers are all positive numbers from 1 to infinity while integers are positive and negative whole numbers. A decimal cannot be an integer as a result.
Rational numbers are discrete which means that they are terminating and eventually stop going while irrational numbers will keep going to infinity and are therefore non-terminating.
Find out more on sets of numbers at brainly.com/question/13081505
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