Answer:
Option B. 
Step-by-step explanation:
we know that
The area of a triangle is equal to

we have


Convert mixed numbers to an improper fractions


substitute the values

Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle KOM
In the triangle KOM
we have


Applying the law of cosines







step 2
Find the measure of the arc KM
we know that
----> by central angle
we have

so

step 3
Find the measure of angle KLM
we know that
The inscribed angle is half that of the arc comprising
![m\angle KLM=\frac{1}{2}[arc\ KM]](https://tex.z-dn.net/?f=m%5Cangle%20KLM%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20KM%5D)
we have

substitute
![m\angle KLM=\frac{1}{2}[106.26^o]](https://tex.z-dn.net/?f=m%5Cangle%20KLM%3D%5Cfrac%7B1%7D%7B2%7D%5B106.26%5Eo%5D)

Answer:
David 1,988-1,956+32
It is David because when you find the unite ratio you get 1,988 for David and 1,956 for Megan.
Answer:
b. Subtracting the base period amount from the analysis period amount, dividing the result by the base period amount, then multiplying that amount by 100%
Step-by-step explanation:
A percentage change can be computed from ...
((new amount) -(old amount))/(old amount) × 100%
This best matches the description of choice B.
_____
<em>Comment on the answer</em>
The formula offered in the question will show the "percent change" from 100 to 103 as 3. It is not 3; rather, it is 3%. The final multiplication must be by 100% in order to arrive at the proper number.
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet