Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)
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
So first we need to find what percent of the students walk to school.
50 + 35 = 85% don't walk leaving only 15% that walk to school,
To find the 15% percent that DO walk we multiply .15 by the total number of people.
.15 x 1640 = 246 people walk to school
1. Change 1 7/8 to an improper fraction, which gives you 15/8.
2. Use KFC to divide fractions. KEEP the first term, FLIP the second and CHANGE to multiplication.
3. 15/8 x 4/3 = 60/24 = 2 1/2
Answer:
Total cost of Mark's board is $3.75.
Step-by-step explanation:
We are given the following in the question:
Length of wooden board =
Unit cost of board = $0.50 per foot
Total cost of board =
Thus, total cost of Mark's board is $3.75.
