Answer:
Only about 1/3 of the pencils have erasers.
Answer:
y= -2x +2
Step-by-step explanation:
<u>Slope-intercept form:</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -2, m= -2.
Substitute m= -2 into the equation:
y= -2x +c
Given that the y-intercept is 2, c= 2.
Substitute c=2 into the equation:
y= -2x +2
Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
Answer:
2 pounds
Step-by-step explanation:
1 pound = 1/2 hour (30 minutes)
x pound(s) = 1 hour (60 minutes)
Equation:
1 pound · (2) = 1/2 hour · (2)
2 = 1 hour
Answer:
Tens
Step-by-step explanation:
It's in the tens place because, it's after the decimal point so don't worry about anything after the decimal. So it's just 59. 9 is the first digit making it in the ones place. So that leaves 5.
