Answer:
66.5
Step-by-step explanation:
Let θ represent ∠MLK
Arc length (s) = radius (r) · θ (theta must be in radians)
Step-by-step explanation:
The constant of proportionality is 3.50 since gummy worms are sold at the same rate per pound.
3.50x, equation
3.50(2.5) = $8.75 for 2.5 pounds
Answer:
The mass of the grains = 120 ± 1 g
Step-by-step explanation:
we are given the following:
Total mass of container + grains = 185 grams
Mass of container = 65 grams
Therefore, mass of grains is calculated as follows:
Mass of grains = ( Mass of container + grains) - mass of container
= 185 - 65 = 120 grams.
since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g
Answer:
y = 1/3x + 7
Step-by-step explanation:
Perpendicular slope is opposite reciprocal so it will be 1/3
Use the slope and point given and plug into y = mx + b
4 = 1/3 (-9) + b
4 = -3 + b
7 = b
write new equation with new b and m
y = 1/3x + 7
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8