Answer:
Step-by-step explanation:
Step 1: Write out equation
5gA + mA = B³
Step 2: Factor out A
A(5g + m) = B³
Step 3: Divide both sides by 5g + m
Answer:
Step-by-step explanation:
and it's an arithmetic sequence.
Answer:
x=6 and y= 5.2
Step-by-step explanation:
tan 60⁰= y/3
1.7320=y/3
cross multiply
y= 5.196 approximately 5.2
sin 60⁰= y/x
but y= 5.2
0.8660=5.2/x
cross multiply
x= 5.2/0.8660
x=6
Answer:
6.1 gallons of 100% antifreeze and 48.9 gallons of 10% antifreeze
Step-by-step explanation:
Let the amount of 100% antifreeze be x gallon
let the amount of 10% antifreeze be y gallon
total amount to drum = 55 gallons
therefore x + y = 55 -------------------------------Eqn 1
100%(x) + 10(y) = 20%(55)
x + 0.1y = 11--------------------------------------Eqn 2
Both equations are solved simultaneously
From eqn 1 x = 55-y
Substitute x = 55-y into eqn 2
55-y+0.1y = 11
collecting like terms
44 = 0.9y
y = 48.88889
x = 55- 48.88889 = 6.11111 gallons
Therefore 6.1 gallons of 100% antifreeze and 48.9 gallons of 10% antifreeze
The area of the figure is 15 square units
Hope this helps
