To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614
Final Answer: x is around 75 yards</span>
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
Answer:
slope = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 6y - 14x = 5 into this form
add 14x to both sides
6y = 14x + 5 ( divide all terms by 6 )
y = 
x + 
← in slope- intercept form
with slope m = ← in simplest form
Answer:
-0.62
Step-by-step explanation:
If you need, you can simply use a linear regression calculator! Most of them give the option to input points and calculate a equation for the line of best fit and a correlation coefficient.
Go to keisan . casio . com <--- Best example of linear regression calculator!
Let's create an equation to find the # of weeks until Chad learns 937 pieces.
x = # of weeks
937 = 2x + 805
Subtract 805 from both sides.
132 = 2x
Divide both sides by 2
66 = x
Chad will need 66 weeks of lessons to learn 937 pieces.
