Find the value of x (8x-1) (4x+7)
1 answer:
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- Right angle = 90°
- α = (4x+7)°
- β = (8x-1)°
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
Add similar elements: :4x+8x=12x
Divide both sides by 12
Therefore, the value of x = 7
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Let the average profit or loss in year 2006 be x millions,
The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:
so we have:
x=8-10.45=-2.45
Answer: the loss in 2006, was 2.45 million dollars
The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:
so we have:
x=8-10.45=-2.45
Answer: the loss in 2006, was 2.45 million dollars
Invasive weed grows at a rate of 0.0011 ft per minute a day
In the above question, it is given as
Invasive weed grows really fast and the rate of its growth is being provided as follows
The rate at which the weed is growing a day is = 1.65 ft
We need to find the, rate at which this weed is growing per minute
So, to do this, we'll find the growth in 1 min
In 24 hours growth is = 1.65 ft
Conversion factors
We know, 1 hour = 60 minutes
In 1 min growth is =
Here, we have multiplied with 60 in the denominator to convert hours into minutes
After solving the fraction we'll get
Growth in 1 min of the weed = 0.0011 ft
Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day
To learn more about minute here
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