<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
Answer:
These numbers are - parameters.
Step-by-step explanation:
A study of all the students at a small college showed a mean age of 20.9 and a standard deviation of 2.9 years.
These numbers are - parameters.
These numbers are parameters as they are for all the students, and merely not a sample.
Answer:
12*365 = 4380
4380 miles
Step-by-step explanation:
The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:
Rewrite the expression as:
Recall the binomial expansion:
Substituting a=10x and b=8, it follows that the expression becomes:
Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.
Answer:
13.5
Step-by-step explanation:
When you convert fraction numbers to decimal numbers, remember they are written like this:
whole . parts
In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts
To find the decimal for 1/2, put into your calculator <u>1 ÷ 2</u>. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.
13.5
Derek studied 13.5 hours for the spelling bee.
