For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m
Answer:
i think its 1000
Step-by-step explanation:
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
Answer:
Tom was speeding.
Step-by-step explanation:
The driving speed of Tom = 20.3 meters per second.
Speed allowed in the zone = 45 miles per hour zone.
Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.
1 mile = 1609.34 meters
1 hour = 3600 second
Now convert 20.3 into mile per hour.
20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.
Since Tom’s speed is more than the allowed speed so he is speeding.
