Answer:
option C
N ≈ 55°
Step-by-step explanation:
Given in the question a right angle triangle.
To calculate the angle N, we will use following formula
a² = b² + c² -2bcCos(A)
here,
a = 5.74
b = 4
c = 7
A = N°
Plug values in the formula
5.74² = 4² + 7² -2(4)(7)COS(N)
32.95 = 16 + 49 - 56COS(N)
32.95 = 65 - 56COS(N)
32.95 - 65 = - 56COS(N)
-32.05 = - 56COS(N)
minus will cancel out
32.05 = 56COS(N)
COS(N) = 32.05/56
COS(N) = 0.57
N = (0.57)
N = 55.08°
N ≈ 55°
Value of the coin times number of coins summed up equal total value
so since we have "$2.10 in all"...
0.05n + 0.25q = 2.10
and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n
0.05n + 0.25q = 2.10
and
q = 4n
are your two equations that could be used to solve this problem
if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10
multiply
0.05n + 1n = 2.10
add like terms
1.05n = 2.10
divide both sides by 1.05
n = 2.10/1.05 = 2
then plug that back into
q = 4n
so
q = 4(2) = 8
therefore you have
2 nickels
and
8 quarters
Answer:
3 months
Step-by-step explanation:
constant slope option a has a higher y value but in 3 months option b will be greater than a
Answer:
( 1, - 3.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) the midpoint is
( , )
Here (x₁, y₁ ) = C (9, 2) and (x₂, y₂ ) = D (- 7, - 9 )
midpoint = ( , ) = ( , ) = (1, - 3.5 )