In reference to the angle of elevation (41 degrees), the adjacent side is 60 and the opposite side is the unknown.
Using tangent ratio:
tan 41 = opp/60
60 tan41 = opp
opp side = 52.2yards
LETTER B
B+ p= 10.40
b=2x 2.50
Now using substitution method replace b in first equation with value of second equation basically combing the two equations into one do you end up with one variable to solve .
2 x 2.50 +p =10.40
5 + p=10.40
P=$5.40
b =$5.00
The answer is EACH pendant cost $2.70
(You have to divide 5.40 by two )
Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
Use BODMAS or BIDMAS (Brackets, over Indices, Division, Multiplication, Addition, the Subtraction, this tells you which order to do things in)
As you cant do √10 in the brackets you do the indices, so (√10)³
Split this up to make it easier
(√10)³= √10 x √10 x √10 = 10√10
You the multiply this by 9
9 x 10√10 = 90√10
then multiply by 5
5 x 90√10 = 450√10 = 1423.024947 (using calculator)
Answer:
Angle WZY=31degrees
Step-by-step explanation:
5x+11=8x-1
11+1=8x-5x
12=3x
X=12/3
X=4
Substitute x=4 in 5x+11
5(4)+11=31