Answer:
m = 3/2
b = 0
y = 3/2x
Step-by-step explanation:
M is the slope, which is the rise/run of a line.
Using this, we know m is 3/2.
B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.
We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
Interest earned = rate charged × amount invested
Interest = 3/100 × $3000 = $90
Account balance after one year = Amount invested + Interest earned
Account balance after one year = $3000 + $90 = $3090
I think it’s 1/3 hope it helps
