Answer: 12.5 (Might be 13... Having half a page is weird)
475/38=12.5
*see attachment for the diagram of the information given
Answer:
115.8°
Step-by-step explanation:
Due west = 83 miles
Northwest = 111 miles
Distance to its original position = 165 miles
Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.
Thus, to find x, we'd apply the Law of Cosine which is given as:
c² = a² + b² - 2ab*cos C
Where,
C = x
a = 83 miles
b = 111 miles
c = 165 miles
Plug in the values
165² = 83² + 111² - 2*83*111*Cos x
27,225 = 19,210 - 18,426*Cos x
27,225 - 19,210 = - 18,426*Cos x
8,015 = -18,426*Cos x
8,015 = -18,426*Cos x
8,015/-18,426 = Cos x
-0.434983176 = Cos Cmx
Cos x = -0.434983176
x = cos^{-1}(-0.434983176)
x = 115.784223°
x = 115.8°
Answer:
8
Step-by-step explanation: 128 / 16 = 8. So 128 dollars by 16 dollars is 8 dollars
The value of p is 0.6
<h3>What is a binomial expression?</h3>
A binomial expression is an algebraic expression that contains only two terms.
Binomial expansions are used to expand exponents of two terms
The expression is given as:
When the expression in bracket is expanded, one of its term is:
So, we have:
Expand the bracket, to get the coefficient of x^6
The coefficient equals 3402.
So, we have:
Divide both sides by 43750
Take the 5th root of both sides
Hence, the value of p is 0.6
Read more about binomial expansions at:
brainly.com/question/13602562